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Nguyen, Vo Anh Thuong; Abide, Stéphane; Barboteu, Mikaël; Dumont, Serge

An improved normal compliance method for non-smooth contact dynamics. (English) Zbl 07928437

Migórski, Stanisław (ed.) et al., Nonsmooth problems with applications in mechanics. Selected papers based on the presentations of the conference, Będlewo, Poland, June 17–22, 2023. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 127, 191-217 (2024).

MSC: 70F40 70-08 70E55 35Q70

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Vu, Duc Thach Son; Ren, Weiqing

A deep learning approach for solving the stationary compositional two-phase equilibrium problems. (English) Zbl 07899887

Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 107883, 20 p. (2024).

MSC: 76T99 80M25 90C51 92B20

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Sharif, Bardia; Alferink, Dirk; Heertjes, Marcel; Nijmeijer, Hendrik; Heemels, Maurice

Analysis of sampled-data hybrid integrator-gain systems: a discrete-time approach. (English) Zbl 1542.93252

Automatica 167, Article ID 111765, 13 p. (2024).

MSC: 93C57 93C30 93C55 93D25

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Messerer, Florian; Baumgärtner, Katrin; Nurkanović, Armin; Diehl, Moritz

Approximate propagation of normal distributions for stochastic optimal control of nonsmooth systems. (English) Zbl 07889322

Nonlinear Anal., Hybrid Syst. 53, Article ID 101499, 17 p. (2024).

MSC: 93E20 49M99

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Andò, Alessia; Edwards, Roderick; Guglielmi, Nicola

Nonuniqueness phenomena in discontinuous dynamical systems and their regularizations. (English) Zbl 07873807

SIAM J. Appl. Dyn. Syst. 23, No. 2, 1345-1371 (2024).

Reviewer: Paulo Santana (São José do Rio Preto)

MSC: 34A36 34C23 34E15 93B35

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Nurkanović, Armin; Sperl, Mario; Albrecht, Sebastian; Diehl, Moritz

Finite elements with switch detection for direct optimal control of nonsmooth systems. (English) Zbl 07872233

Numer. Math. 156, No. 3, 1115-1162 (2024).

MSC: 65-XX 34A36 49M25 49Q12 65L99 49M37

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Breuling, Jonas; Capobianco, Giuseppe; Eugster, Simon R.; Leine, Remco I.

A nonsmooth RATTLE algorithm for mechanical systems with frictional unilateral constraints. (English) Zbl 07861368

Nonlinear Anal., Hybrid Syst. 52, Article ID 101469, 16 p. (2024).

MSC: 74-XX 70-XX

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Nurkanović, Armin; Frey, Jonathan; Pozharskiy, Anton; Diehl, Moritz

FESD-J: Finite Elements with Switch Detection for numerical optimal control of rigid bodies with impacts and Coulomb friction. (English) Zbl 07861359

Nonlinear Anal., Hybrid Syst. 52, Article ID 101460, 22 p. (2024).

MSC: 65-XX 74-XX

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Miranda-Villatoro, Félix A.

Robust output convergence of heterogeneous networks via nonsmooth hard-threshold couplings. (English) Zbl 1541.93071

Nonlinear Anal., Hybrid Syst. 52, Article ID 101459, 20 p. (2024).

MSC: 93B35 93B70

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Agosti, Abramo; Rocca, Elisabetta; Scarpa, Luca

Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential. (English) Zbl 1537.35206

Discrete Contin. Dyn. Syst., Ser. S 17, No. 1, 462-511 (2024).

MSC: 35K55 45K05 65M60 65R20 92B05

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Barboteu, Mikaël; Bonaldi, Francesco; Dumont, Serge; Mahmoud, Christina

An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues. (English) Zbl 1539.74253

Comput. Methods Appl. Mech. Eng. 421, Article ID 116785, 24 p. (2024).

MSC: 74M15 74L15

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Luo, Jiahui; Xu, Xiaoming; Liu, Xiaodong; Wu, Zhigang

A nonsmooth modified symplectic integration scheme for frictional contact dynamics of rigid-flexible multibody systems. (English) Zbl 1536.70006

Comput. Methods Appl. Mech. Eng. 420, Article ID 116726, 24 p. (2024).

MSC: 70E55 74M10 74M15

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Hirani, Anil N.; Wan, Andy T. S.; Wojtalewicz, Nikolas

Conservative integrators for piecewise smooth systems with transversal dynamics. (English) Zbl 1534.65100

J. Comput. Dyn. 11, No. 2, 135-152 (2024).

MSC: 65L05 65L12 65L20 65L70 65P10 37M05 37M15

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Bloch, Helene; Lefebvre-Lepot, Aline

On convex numerical schemes for inelastic contacts with friction. (English. French summary) Zbl 07830396

ESAIM, Proc. Surv. 75, 24-59 (2023).

MSC: 74S99 74S20 74M15 74M10 74H80

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Gudoshnikov, Ivan; Makarenkov, Oleg; Rachinskii, Dmitrii

Formation of a nontrivial finite-time stable attractor in a class of polyhedral sweeping processes with periodic input. (English) Zbl 1533.34025

ESAIM, Control Optim. Calc. Var. 29, Paper No. 84, 42 p. (2023).

MSC: 34A60 34D45 93D40 47J22 74C05

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Chaffey, Thomas; Banert, Sebastian; Giselsson, Pontus; Pates, Richard

Circuit analysis using monotone+skew splitting. (English) Zbl 1530.94075

Eur. J. Control 74, Article ID 100854, 7 p. (2023).

MSC: 94C60 47N70

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Wang, Kun; Tian, Qiang

A nonsmooth method for spatial frictional contact dynamics of flexible multibody systems with large deformation. (English) Zbl 1534.74048

Int. J. Numer. Methods Eng. 124, No. 3, 752-779 (2023).

MSC: 74M15 74M10 74S05 90C33

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Nurkanović, Armin; Albrecht, Sebastian; Brogliato, Bernard; Diehl, Moritz

The time-freezing reformulation for numerical optimal control of complementarity Lagrangian systems with state jumps. (English) Zbl 07766508

Automatica 158, Article ID 111295, 14 p. (2023).

MSC: 65-XX 49Mxx

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Guglielmi, Nicola; Hairer, Ernst

Sliding modes of high codimension in piecewise-smooth dynamical systems. (English) Zbl 07730428

Numer. Algorithms 94, No. 1, 257-273 (2023).

MSC: 65-XX 34A36 34A60 34C40

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Acary, Vincent; Bourrier, Franck; Viano, Benoit

Variational approach for nonsmooth elasto-plastic dynamics with contact and impacts. (English) Zbl 1539.74072

Comput. Methods Appl. Mech. Eng. 414, Article ID 116156, 45 p. (2023).

MSC: 74C05 74M10

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Hua, Duo; Liu, Xingbo

Dynamical analysis in a piecewise smooth predator-prey model with predator harvesting. (English) Zbl 1519.92196

Int. J. Biomath. 16, No. 6, Article ID 2250118, 22 p. (2023).

MSC: 92D25 34C37 34C23

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Peng, William Z.; Song, Hyunjong; Czarkowski, Dariusz; Kim, Joo H.

Switched electromechanical dynamics for transient phase control of brushed DC servomotor. (English) Zbl 07880313

Chaos 32, No. 12, Article ID 123119, 18 p. (2022).

MSC: 37-XX 34-XX

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Brogliato, Bernard; Rocca, Alexandre

Analysis of the implicit Euler time-discretization of passive linear descriptor complementarity systems. (English) Zbl 07875627

J. Nonsmooth Anal. Optim. 3, Article ID 7269, 39 p. (2022).

MSC: 93C15 93C55 93C05

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Preiswerk, Pascal V.; Leine, Remco I.

State observers for the time discretization of a class of impulsive mechanical systems. (English) Zbl 1528.93073

Int. J. Robust Nonlinear Control 32, No. 12, 6667-6683 (2022).

MSC: 93B53 93C27 93C05 70Q05

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Tao, Ling; Li, Zhongpan; Li, Yan; Chen, Huijian; Feng, Zhiqiang

Nonsmooth dynamic analysis of rigid-flexible interaction collision. (English) Zbl 1517.70023

AMM, Appl. Math. Mech., Engl. Ed. 43, No. 11, 1731-1746 (2022).

MSC: 70F35 70-08 74M20 74M15

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Abide, Stéphane; Barboteu, Mikaël; Cherkaoui, Soufiane; Dumont, Serge

Unified primal-dual active set method for dynamic frictional contact problems. (English) Zbl 07611945

Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 19, 22 p. (2022).

MSC: 70F40 70-08 70E55 35Q70

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Bouach, Abderrahim; Haddad, Tahar; Thibault, Lionel

Nonconvex integro-differential sweeping process with applications. (English) Zbl 07600095

SIAM J. Control Optim. 60, No. 5, 2971-2995 (2022).

MSC: 68Q25 68R10 68U05

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Collins-Craft, N. A.; Bourrier, F.; Acary, V.

On the formulation and implementation of extrinsic cohesive zone models with contact. (English) Zbl 1507.74032

Comput. Methods Appl. Mech. Eng. 400, Article ID 115545, 34 p. (2022).

MSC: 74A45 74R15

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Marx, Swann; Pauwels, Edouard

Path differentiability of ODE flows. (English) Zbl 1497.49023

J. Differ. Equations 338, 321-351 (2022).

MSC: 49J52 49J15 49J45 90C56 34H05

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Kovaleva, Agnessa

The Melnikov criterion of instability for random rocking of a rigid block with a fractional derivative element. (English) Zbl 1512.70008

Physica D 436, Article ID 133326, 6 p. (2022).

MSC: 70E50 70L10 26A33

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Wang, Xuechuan; Long, Xinjun; Yue, Xiaokui; Dai, Honghua; Atluri, Satya N.

Bifurcation analysis of stick-slip vibration in a 2-DOF nonlinear dynamical system with dry friction. (English) Zbl 1514.70028

Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106475, 20 p. (2022).

MSC: 70K50 70K55 70F40

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Carvajal-Rubio, J. E.; Defoort, M.; Sánchez-Torres, J. D.; Djemai, M.; Loukianov, A. G.

Implicit and explicit discrete-time realizations of the robust exact filtering differentiator. (English) Zbl 1489.93021

J. Franklin Inst. 359, No. 8, 3951-3978 (2022).

MSC: 93B15 93C55 93E11 93C62

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Brogliato, Bernard

Analysis of the implicit Euler time-discretization of a class of descriptor-variable linear cone complementarity systems. (English) Zbl 1510.65124

J. Convex Anal. 29, No. 2, 481-517 (2022); correction ibid. 31, No. 3, 1035-1037 (2024).

MSC: 65K15 65L80 49J53 34A09 34A12 34A60 90C33

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Couture, A.; François, V.; Cuillière, Jean-Christophe; Pilvin, Ph.

Automatic generation of statistical volume elements using multibody dynamics and an erosion-based homogenization method. (English) Zbl 1496.74119

Comput. Mech. 69, No. 4, 1041-1066 (2022).

MSC: 74S05 74Q05 74S60 74E30 70E55

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Flores, Paulo

Contact mechanics for dynamical systems: a comprehensive review. (English) Zbl 1492.70006

Multibody Syst. Dyn. 54, No. 2, 127-177 (2022).

MSC: 70E55 74M15 74M20

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Tsetas, Athanasios; Tsouvalas, Apostolos; Molenkamp, Timo; Metrikine, Andrei V.

A mode-matching method for the prediction of stick-slip relative motion of two elastic rods in frictional contact. (English) Zbl 1525.74156

Acta Mech. 233, No. 2, 753-773 (2022); correction ibid. 233, No. 4, 1715 (2022).

MSC: 74M15 74M10

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Difonzo, Fabio V.

Isochronous attainable manifolds for piecewise smooth dynamical systems. (English) Zbl 1497.34026

Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 6, 26 p. (2022).

Reviewer: Adrian Petruşel (Cluj-Napoca)

MSC: 34A36 34A60 65L20 34C45

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Xiong, Xiaogang; Kamal, Shyam; Jin, Shanhai

Adaptive gains to super-twisting technique for sliding mode design. (English) Zbl 07878811

Asian J. Control 23, No. 1, 362-373 (2021).

MSC: 93-XX

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Tasora, Alessandro; Mangoni, Dario; Benatti, Simone; Garziera, Rinaldo

Solving variational inequalities and cone complementarity problems in nonsmooth dynamics using the alternating direction method of multipliers. (English) Zbl 07865391

Int. J. Numer. Methods Eng. 122, No. 16, 4093-4113 (2021).

MSC: 70-XX 74-XX

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Sailer, Simon; Leine, Remco I.

Model reduction of the tippedisk: a path to the full analysis. (English) Zbl 1537.70007

Nonlinear Dyn. 105, No. 3, 1955-1975 (2021).

MSC: 70E18 70K20 70E50

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Carvajal-Rubio, Jose Eduardo; Sánchez-Torres, Juan Diego; Defoort, Michael; Djemai, Mohamed; Loukianov, Alexander G.

Implicit and explicit discrete-time realizations of homogeneous differentiators. (English) Zbl 1526.93138

Int. J. Robust Nonlinear Control 31, No. 9, 3606-3630 (2021).

MSC: 93C55 93B12 93C05

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Sanchez, Tonametl; Polyakov, Andrey; Efimov, Denis

Lyapunov-based consistent discretization of stable homogeneous systems. (English) Zbl 1526.93139

Int. J. Robust Nonlinear Control 31, No. 9, 3587-3605 (2021).

MSC: 93C55 93D20 93D30 93C10

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Brogliato, Bernard; Polyakov, Andrey

Digital implementation of sliding-mode control via the implicit method: a tutorial. (English) Zbl 1526.93144

Int. J. Robust Nonlinear Control 31, No. 9, 3528-3586 (2021).

MSC: 93C62 93B12 93C55

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Adly, S.; Goeleven, D.; Oujja, R.

Well-posedness of nonsmooth Lurie dynamical systems involving maximal monotone operators. (English) Zbl 1498.93252

Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 47-68 (2021).

MSC: 93B52 93C15

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D’Ambrosio, Lorenzo; Gallo, Marco; Pugliese, Alessandro

A note on the Kuramoto-Sivashinsky equation with discontinuity. (English) Zbl 1510.34034

Math. Eng. (Springfield) 3, No. 5, Paper No. 41, 29 p. (2021).

Reviewer: Guglielmo Feltrin (Udine)

MSC: 34A36 34C10 34D20 34C05

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Schindler, Kilian; Leine, Remco I.

Paradoxical simulation results of chaos-like chattering in the bouncing ball system. (English) Zbl 1513.70053

Physica D 419, Article ID 132854, 10 p. (2021).

MSC: 70F35 70K55 70-10

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Ben Gharbia, Ibtihel; Haddou, Mounir; Tran, Quang Huy; Vu, Duc Thach Son

An analysis of the unified formulation for the equilibrium problem of compositional multiphase mixtures. (English) Zbl 1491.76083

ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2981-3016 (2021).

MSC: 76T30 76S05 80A17

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Liu, Yun; Li, Panshuo; Zhang, Bin

Non-fragile \(H_\infty\) control of periodic piecewise time-varying systems based on matrix polynomial approach. (English) Zbl 1483.93131

Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 4, 805-820 (2021).

MSC: 93B36 93D23 93B52

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Duc Thach Son Vu; Ben Gharbia, Ibtihel; Haddou, Mounir; Quang Huy Tran

A new approach for solving nonlinear algebraic systems with complementarity conditions. Application to compositional multiphase equilibrium problems. (English) Zbl 1540.90267

Math. Comput. Simul. 190, 1243-1274 (2021).

MSC: 90C33 65K05

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Rakhsha, M.; Yang, L.; Hu, W.; Negrut, D.

On the use of multibody dynamics techniques to simulate fluid dynamics and fluid-solid interaction problems. (English) Zbl 1490.76168

Multibody Syst. Dyn. 53, No. 1, 29-57 (2021).

MSC: 76M28 74F10 70E55

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Wang, Kun; Tian, Qiang; Hu, Haiyan

Nonsmooth spatial frictional contact dynamics of multibody systems. (English) Zbl 1483.70028

Multibody Syst. Dyn. 53, No. 1, 1-27 (2021).

MSC: 70E55 74M10 74M15 65C35

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Leine, Remco I.; Capobianco, Giuseppe; Bartelt, Perry; Christen, Marc; Caviezel, Andrin

Stability of rigid body motion through an extended intermediate axis theorem: application to rockfall simulation. (English) Zbl 1483.70017

Multibody Syst. Dyn. 52, No. 4, 431-455 (2021).

MSC: 70E50

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Abide, Stéphane; Barboteu, Mikaël; Cherkaoui, Soufiane; Dumont, Serge

A semi-smooth Newton and primal-dual active set method for non-smooth contact dynamics. (English) Zbl 1507.70024

Comput. Methods Appl. Mech. Eng. 387, Article ID 114153, 23 p. (2021).

MSC: 70F40 35Q70 70E55

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Barreau, Matthieu; Tarbouriech, Sophie; Gouaisbaut, Frédéric

Lyapunov stability analysis of a mass-spring system subject to friction. (English) Zbl 1478.93520

Syst. Control Lett. 150, Article ID 104910, 9 p. (2021).

MSC: 93D20 70F40

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Hu, Wei; Rakhsha, Milad; Yang, Lijing; Kamrin, Ken; Negrut, Dan

Modeling granular material dynamics and its two-way coupling with moving solid bodies using a continuum representation and the SPH method. (English) Zbl 1502.76120

Comput. Methods Appl. Mech. Eng. 385, Article ID 114022, 28 p. (2021).

MSC: 76T25

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Luo, Jianfeng; Zhao, Yi

Simulation-based study of biological systems with threshold policy by a differential linear complementarity system. (English) Zbl 1472.34094

Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2130025, 21 p. (2021).

MSC: 34C60 34A36 34C23 34C05 92D25

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Acary, Vincent; Bourrier, Franck

Coulomb friction with rolling resistance as a cone complementarity problem. (English) Zbl 1477.74078

Eur. J. Mech., A, Solids 85, Article ID 104046, 12 p. (2021).

MSC: 74M10 74M15 70F40

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Bertrand, C.; Acary, V.; Lamarque, C.-H.; Ture Savadkoohi, A.

A robust and efficient numerical finite element method for cables. (English) Zbl 07863209

Int. J. Numer. Methods Eng. 121, No. 18, 4157-4186 (2020).

MSC: 74Gxx 74Sxx 74Kxx

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Peng, Haijun; Song, Ningning; Kan, Ziyun

A novel nonsmooth dynamics method for multibody systems with friction and impact based on the symplectic discrete format. (English) Zbl 07843258

Int. J. Numer. Methods Eng. 121, No. 7, 1530-1557 (2020).

MSC: 74Mxx 74Sxx 65Pxx

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Huang, Jun; Yu, Lei; Shi, Minjie

Observer design for stochastic one-sided Lipschitz Lur’e differential inclusion system. (English) Zbl 1479.34093

Int. J. Comput. Math. 97, No. 3, 624-637 (2020).

MSC: 34D20 34H15

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Sailer, Simon; Eugster, Simon R.; Leine, Remco I.

The tippedisk: a tippetop without rotational symmetry. (English) Zbl 1475.70006

Regul. Chaotic Dyn. 25, No. 6, 553-580 (2020).

MSC: 70E18 70K20 70E50

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Difonzo, Fabio V.

A note on attractivity for the intersection of two discontinuity manifolds. (English) Zbl 1469.34028

Opusc. Math. 40, No. 6, 685-702 (2020).

MSC: 34A36 34C45 34D05

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Stefanova, Maria; Minevich, Olga; Baklanov, Stanislav; Petukhova, Margarita; Lupuleac, Sergey; Grigor’ev, Boris; Kokkolaras, Michael

Convex optimization techniques in compliant assembly simulation. (English) Zbl 1455.74072

Optim. Eng. 21, No. 4, 1665-1690 (2020).

MSC: 74P05 74M15 74S99 65K10 90C20

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Fukasawa, Shota; Kanno, Yoshihiro

Numerical simulation of base-isolated buildings in collisions with surrounding moat walls during earthquakes: a nonsmooth mechanics approach. (English) Zbl 1456.74051

Optim. Eng. 21, No. 4, 1423-1457 (2020).

MSC: 74H45 74S99 74L10 74M20 90C33 86A15

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Sengha, G. G.; Kenfack, Wilson Fokou; Siewe Siewe, Martin; Tabi, C. B.; Kofane, T. C.

Dynamics of a non-smooth type hybrid energy harvester with nonlinear magnetic coupling. (English) Zbl 1451.78033

Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105364, 18 p. (2020).

MSC: 78A55 74F15 78M31 65C05 65C30 65L06 60H40 60H35 35B32 35R60

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Le, Ba Khiet

On a class of Lur’e dynamical systems with state-dependent set-valued feedback. (English) Zbl 1451.37106

Set-Valued Var. Anal. 28, No. 3, 537-557 (2020).

Reviewer: Bülent Karasözen (Ankara)

MSC: 37M15 37M05 65L05 65L07 65P10

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Docquier, Nicolas; Lantsoght, Olivier; Dubois, Frédéric; Brüls, Olivier

Modelling and simulation of coupled multibody systems and granular media using the non-smooth contact dynamics approach. (English) Zbl 1456.70012

Multibody Syst. Dyn. 49, No. 2, 181-202 (2020).

MSC: 70E55 74E20 74M15

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Peng, Haijun; Song, Ningning; Kan, Ziyun

A nonsmooth contact dynamic algorithm based on the symplectic method for multibody system analysis with unilateral constraints. (English) Zbl 1456.70016

Multibody Syst. Dyn. 49, No. 2, 119-153 (2020).

MSC: 70E55 74M15

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Hamdallah, Soliman A. A.; Tang, Sanyi

Stability and bifurcation analysis of Filippov food chain system with food chain control strategy. (English) Zbl 1441.34057

Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1631-1647 (2020).

MSC: 34C60 92D25 34A36 34C25 34D05 34H20 34H05 34C23

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Messina, Eleonora; Chioccarelli, Eugenio; Baltzopoulos, Georgios; Vecchio, Antonia

Numerical analysis of the dynamics of rigid blocks subjected to support excitation. (English) Zbl 1460.70021

Appl. Numer. Math. 155, 29-37 (2020).

MSC: 70K40 65L06

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Brogliato, Bernard; Tanwani, Aneel

Dynamical systems coupled with monotone set-valued operators: formalisms, applications, well-posedness, and stability. (English) Zbl 1450.34002

SIAM Rev. 62, No. 1, 3-129 (2020).

Reviewer: Ba Khiet Le (Rancagua)

MSC: 34-02 34A36 34A60 34D20 49J52 49J53 93D15 93D20

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Yazdaniyan, Z.; Shamsi, M.; Foroozandeh, Z.; de Pinho, Maria do Rosário

A numerical method based on the complementarity and optimal control formulations for solving a family of zero-sum pursuit-evasion differential games. (English) Zbl 1432.49058

J. Comput. Appl. Math. 368, Article ID 112535, 19 p. (2020).

MSC: 49N75 49N70 49N90 90C33 49J15 49M37

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Aghili, Farhad

Energetically consistent model of slipping and sticking frictional impacts in multibody systems. (English) Zbl 1437.70009

Multibody Syst. Dyn. 48, No. 2, 193-209 (2020).

MSC: 70E55 70F35 70F40 74M10 74M15

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Brogliato, Bernard; Kovecses, Jozsef; Acary, Vincent

The contact problem in Lagrangian systems with redundant frictional bilateral and unilateral constraints and singular mass matrix. The all-sticking contacts problem. (English) Zbl 1437.70010

Multibody Syst. Dyn. 48, No. 2, 151-192 (2020).

MSC: 70E55 74M10 74M15

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Liu, Yun; Li, Panshuo; Xie, Xiaochen; Zhang, Bin

Non-fragile control of periodic piecewise linear time-varying systems with time delay. (English) Zbl 07907018

IET Control Theory Appl. 13, No. 14, 2217-2227 (2019).

MSC: 93D20 93D23 93C05 93C43

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Bertrand, Charlelie; Ture Savadkoohi, A.; Lamarque, C.-H.

Nonlinear oscillations of a pendulum cable with the effects of the friction and the radius of the support. (English) Zbl 1437.34040

Nonlinear Dyn. 96, No. 2, 1303-1315 (2019).

MSC: 34C15 34E13

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Walker, S. V.; Leine, R. I.

Set-valued anisotropic dry friction laws: formulation, experimental verification and instability phenomenon. (English) Zbl 1437.70021

Nonlinear Dyn. 96, No. 2, 885-920 (2019).

MSC: 70F40 70K20

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Rakhsha, M.; Pazouki, A.; Serban, R.; Negrut, D.

Using a half-implicit integration scheme for the SPH-based solution of fluid-solid interaction problems. (English) Zbl 1440.74128

Comput. Methods Appl. Mech. Eng. 345, 100-122 (2019).

MSC: 74F10 65M75 76M28

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Yona, Tal; Or, Yizhar

The wheeled three-link snake model: singularities in nonholonomic constraints and stick-slip hybrid dynamics induced by Coulomb friction. (English) Zbl 1432.70033

Nonlinear Dyn. 95, No. 3, 2307-2324 (2019).

MSC: 70F25 70F40 70E60

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Wachs, Anthony

Particle-scale computational approaches to model dry and saturated granular flows of non-Brownian, non-cohesive, and non-spherical rigid bodies. (English) Zbl 1428.76176

Acta Mech. 230, No. 6, 1919-1980 (2019).

MSC: 76M99 76T25

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Kotpalliwar, Shruti; Paruchuri, Pradyumna; Chatterjee, Debasish; Banavar, Ravi

Discrete time optimal control with frequency constraints for non-smooth systems. (English) Zbl 1429.93214

Automatica 107, 493-501 (2019).

MSC: 93C55 49N90

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Peng, Lei; Feng, Zhi-Qiang; Joli, Pierre; Renaud, Christine; Xu, Wan-Yun

Bi-potential and co-rotational formulations applied for real time simulation involving friction and large deformation. (English) Zbl 1466.74030

Comput. Mech. 64, No. 3, 611-623 (2019).

MSC: 74L15 74M10 74S05 92C10

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Agosti, Abramo

Discontinuous Galerkin finite element discretization of a degenerate Cahn-Hilliard equation with a single-well potential. (English) Zbl 1420.35429

Calcolo 56, No. 2, Paper No. 14, 47 p. (2019).

MSC: 35Q92 65M60 35Q99 35K25 35K65 65K10 65G99 35D30 92C37 65M06 65M12

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Capobianco, G.; Eugster, S. R.

Time finite element based Moreau-type integrators. (English) Zbl 07878331

Int. J. Numer. Methods Eng. 114, No. 3, 215-231 (2018).

MSC: 74Mxx 70-XX 70Exx

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Navarro-López, E. M.; O’Toole, M. D.

Automated generation of hybrid automata for multi-rigid-body mechanical systems and its application to the falsification of safety properties. (English) Zbl 1485.93277

Math. Comput. Model. Dyn. Syst. 24, No. 1, 44-75 (2018).

MSC: 93C30 70Q05 92-08

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OA License

Morales, J. E.; James, G.; Tonnelier, Arnaud

Solitary waves in the excitable Burridge-Knopoff model. (English) Zbl 1524.86027

Wave Motion 76, 103-121 (2018).

MSC: 86A15 35C08

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Mangoni, Dario; Tasora, Alessandro; Garziera, Rinaldo

A primal-dual predictor-corrector interior point method for non-smooth contact dynamics. (English) Zbl 1439.74226

Comput. Methods Appl. Mech. Eng. 330, 351-367 (2018).

MSC: 74M15 65K15

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Barboteu, Mikaël; Dumont, Serge

A primal-dual active set method for solving multi-rigid-body dynamic contact problems. (English) Zbl 1440.74243

Math. Mech. Solids 23, No. 3, 489-503 (2018).

MSC: 74M15 70E55 70-08

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Beatini, Valentina; Royer-Carfagni, Gianni; Tasora, Alessandro

The role of frictional contact of constituent blocks on the stability of masonry domes. (English) Zbl 1402.74081

Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2209, Article ID 20170740, 21 p. (2018).

MSC: 74M15 74M10

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Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay V.; Chen, Guanrong

Fractional-order PWC systems without zero Lyapunov exponents. (English) Zbl 1398.37028

Nonlinear Dyn. 92, No. 3, 1061-1078 (2018).

MSC: 37D45 34A08 34C23 34A36 34D08

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Wang, Zhengyu; Pickl, Stefan

A Galerkin method for the dynamic Nash equilibrium problem with shared constraint. (English) Zbl 1397.49005

Kliewer, Natalia (ed.) et al., Operations research proceedings 2017. Selected papers of the annual international conference of the German Operations Research Society (GOR), Freie Universiät Berlin, Germany, September 6–8, 2017. Cham: Springer (ISBN 978-3-319-89919-0/pbk; 978-3-319-89920-6/ebook). Operations Research Proceedings, 617-623 (2018).

MSC: 49J15 49M30 49J40 65K10 65L05 91B52

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Ghaznavi, M.; Skandari, M. H. Noori

An efficient pseudo-spectral method for nonsmooth dynamical systems. (English) Zbl 1397.65118

Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 635-646 (2018).

MSC: 65L60

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Colombo, Alessandro; Del Buono, Nicoletta; Lopez, Luciano; Pugliese, Alessandro

Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems. (English) Zbl 1398.65159

Discrete Contin. Dyn. Syst., Ser. B 23, No. 7, 2911-2934 (2018).

MSC: 65L05 34L99

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Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay V.; Chen, Guanrong

Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system. (English) Zbl 1392.34005

Nonlinear Dyn. 91, No. 4, 2523-2540 (2018).

MSC: 34A08 37D45

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Brogliato, Bernard

Feedback control of multibody systems with joint clearance and dynamic backlash: a tutorial. (English) Zbl 1400.70018

Multibody Syst. Dyn. 42, No. 3, 283-315 (2018).

MSC: 70E55 70E50 70Q05 93B52 93D15

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Akhadkar, Narendra; Acary, Vincent; Brogliato, Bernard

Multibody systems with 3D revolute joints with clearances: an industrial case study with an experimental validation. (English) Zbl 1400.70016

Multibody Syst. Dyn. 42, No. 3, 249-282 (2018).

MSC: 70E55 70-05

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Lopez, L.; Maset, S.

Time-transformations for the event location in discontinuous ODEs. (English) Zbl 1410.65481

Math. Comput. 87, No. 313, 2321-2341 (2018).

Reviewer: Narahari Parhi (Bhubaneswar)

MSC: 65L05 34A36 65L06

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Kim, Youngdae; Huber, Olivier; Ferris, Michael C.

A structure-preserving pivotal method for affine variational inequalities. (English) Zbl 1396.90087

Math. Program. 168, No. 1-2 (B), 93-121 (2018).

MSC: 90C33 90C49 65K10 65K15

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Nev, O. A.; van den Berg, H. A.

Microbial metabolism and growth under conditions of starvation modelled as the sliding mode of a differential inclusion. (English) Zbl 1386.34092

Dyn. Syst. 33, No. 1, 93-112 (2018).

MSC: 34C60 34A60 92D25 92C45

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Le Thi, Huong; Junca, Stéphane; Legrand, Mathias

Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases. (English) Zbl 1386.70038

Nonlinear Anal., Hybrid Syst. 28, 54-74 (2018).

MSC: 70J10 34C25 34A36

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Found 215 Documents (Results 1–100)

An improved normal compliance method for non-smooth contact dynamics. (English) Zbl 07928437

A deep learning approach for solving the stationary compositional two-phase equilibrium problems. (English) Zbl 07899887

Analysis of sampled-data hybrid integrator-gain systems: a discrete-time approach. (English) Zbl 1542.93252

Approximate propagation of normal distributions for stochastic optimal control of nonsmooth systems. (English) Zbl 07889322

Nonuniqueness phenomena in discontinuous dynamical systems and their regularizations. (English) Zbl 07873807

Finite elements with switch detection for direct optimal control of nonsmooth systems. (English) Zbl 07872233

A nonsmooth RATTLE algorithm for mechanical systems with frictional unilateral constraints. (English) Zbl 07861368

FESD-J: Finite Elements with Switch Detection for numerical optimal control of rigid bodies with impacts and Coulomb friction. (English) Zbl 07861359

Robust output convergence of heterogeneous networks via nonsmooth hard-threshold couplings. (English) Zbl 1541.93071

Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential. (English) Zbl 1537.35206

An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues. (English) Zbl 1539.74253

A nonsmooth modified symplectic integration scheme for frictional contact dynamics of rigid-flexible multibody systems. (English) Zbl 1536.70006

Conservative integrators for piecewise smooth systems with transversal dynamics. (English) Zbl 1534.65100

On convex numerical schemes for inelastic contacts with friction. (English. French summary) Zbl 07830396

Formation of a nontrivial finite-time stable attractor in a class of polyhedral sweeping processes with periodic input. (English) Zbl 1533.34025

Circuit analysis using monotone+skew splitting. (English) Zbl 1530.94075

A nonsmooth method for spatial frictional contact dynamics of flexible multibody systems with large deformation. (English) Zbl 1534.74048

The time-freezing reformulation for numerical optimal control of complementarity Lagrangian systems with state jumps. (English) Zbl 07766508

Sliding modes of high codimension in piecewise-smooth dynamical systems. (English) Zbl 07730428

Variational approach for nonsmooth elasto-plastic dynamics with contact and impacts. (English) Zbl 1539.74072

Dynamical analysis in a piecewise smooth predator-prey model with predator harvesting. (English) Zbl 1519.92196

Switched electromechanical dynamics for transient phase control of brushed DC servomotor. (English) Zbl 07880313

Analysis of the implicit Euler time-discretization of passive linear descriptor complementarity systems. (English) Zbl 07875627

State observers for the time discretization of a class of impulsive mechanical systems. (English) Zbl 1528.93073

Nonsmooth dynamic analysis of rigid-flexible interaction collision. (English) Zbl 1517.70023

Unified primal-dual active set method for dynamic frictional contact problems. (English) Zbl 07611945

Nonconvex integro-differential sweeping process with applications. (English) Zbl 07600095

On the formulation and implementation of extrinsic cohesive zone models with contact. (English) Zbl 1507.74032

Path differentiability of ODE flows. (English) Zbl 1497.49023

The Melnikov criterion of instability for random rocking of a rigid block with a fractional derivative element. (English) Zbl 1512.70008

Bifurcation analysis of stick-slip vibration in a 2-DOF nonlinear dynamical system with dry friction. (English) Zbl 1514.70028

Implicit and explicit discrete-time realizations of the robust exact filtering differentiator. (English) Zbl 1489.93021

Analysis of the implicit Euler time-discretization of a class of descriptor-variable linear cone complementarity systems. (English) Zbl 1510.65124

Automatic generation of statistical volume elements using multibody dynamics and an erosion-based homogenization method. (English) Zbl 1496.74119

Contact mechanics for dynamical systems: a comprehensive review. (English) Zbl 1492.70006

A mode-matching method for the prediction of stick-slip relative motion of two elastic rods in frictional contact. (English) Zbl 1525.74156

Isochronous attainable manifolds for piecewise smooth dynamical systems. (English) Zbl 1497.34026

Adaptive gains to super-twisting technique for sliding mode design. (English) Zbl 07878811

Solving variational inequalities and cone complementarity problems in nonsmooth dynamics using the alternating direction method of multipliers. (English) Zbl 07865391

Model reduction of the tippedisk: a path to the full analysis. (English) Zbl 1537.70007

Implicit and explicit discrete-time realizations of homogeneous differentiators. (English) Zbl 1526.93138

Lyapunov-based consistent discretization of stable homogeneous systems. (English) Zbl 1526.93139

Digital implementation of sliding-mode control via the implicit method: a tutorial. (English) Zbl 1526.93144

Well-posedness of nonsmooth Lurie dynamical systems involving maximal monotone operators. (English) Zbl 1498.93252

A note on the Kuramoto-Sivashinsky equation with discontinuity. (English) Zbl 1510.34034

Paradoxical simulation results of chaos-like chattering in the bouncing ball system. (English) Zbl 1513.70053

An analysis of the unified formulation for the equilibrium problem of compositional multiphase mixtures. (English) Zbl 1491.76083

Non-fragile \(H_\infty\) control of periodic piecewise time-varying systems based on matrix polynomial approach. (English) Zbl 1483.93131

A new approach for solving nonlinear algebraic systems with complementarity conditions. Application to compositional multiphase equilibrium problems. (English) Zbl 1540.90267

On the use of multibody dynamics techniques to simulate fluid dynamics and fluid-solid interaction problems. (English) Zbl 1490.76168

Nonsmooth spatial frictional contact dynamics of multibody systems. (English) Zbl 1483.70028

Stability of rigid body motion through an extended intermediate axis theorem: application to rockfall simulation. (English) Zbl 1483.70017

A semi-smooth Newton and primal-dual active set method for non-smooth contact dynamics. (English) Zbl 1507.70024

Lyapunov stability analysis of a mass-spring system subject to friction. (English) Zbl 1478.93520

Modeling granular material dynamics and its two-way coupling with moving solid bodies using a continuum representation and the SPH method. (English) Zbl 1502.76120

Simulation-based study of biological systems with threshold policy by a differential linear complementarity system. (English) Zbl 1472.34094

Coulomb friction with rolling resistance as a cone complementarity problem. (English) Zbl 1477.74078

A robust and efficient numerical finite element method for cables. (English) Zbl 07863209

A novel nonsmooth dynamics method for multibody systems with friction and impact based on the symplectic discrete format. (English) Zbl 07843258

Observer design for stochastic one-sided Lipschitz Lur’e differential inclusion system. (English) Zbl 1479.34093

The tippedisk: a tippetop without rotational symmetry. (English) Zbl 1475.70006

A note on attractivity for the intersection of two discontinuity manifolds. (English) Zbl 1469.34028

Convex optimization techniques in compliant assembly simulation. (English) Zbl 1455.74072

Numerical simulation of base-isolated buildings in collisions with surrounding moat walls during earthquakes: a nonsmooth mechanics approach. (English) Zbl 1456.74051

Dynamics of a non-smooth type hybrid energy harvester with nonlinear magnetic coupling. (English) Zbl 1451.78033

On a class of Lur’e dynamical systems with state-dependent set-valued feedback. (English) Zbl 1451.37106

Modelling and simulation of coupled multibody systems and granular media using the non-smooth contact dynamics approach. (English) Zbl 1456.70012

A nonsmooth contact dynamic algorithm based on the symplectic method for multibody system analysis with unilateral constraints. (English) Zbl 1456.70016

Stability and bifurcation analysis of Filippov food chain system with food chain control strategy. (English) Zbl 1441.34057

Numerical analysis of the dynamics of rigid blocks subjected to support excitation. (English) Zbl 1460.70021

Dynamical systems coupled with monotone set-valued operators: formalisms, applications, well-posedness, and stability. (English) Zbl 1450.34002

A numerical method based on the complementarity and optimal control formulations for solving a family of zero-sum pursuit-evasion differential games. (English) Zbl 1432.49058

Energetically consistent model of slipping and sticking frictional impacts in multibody systems. (English) Zbl 1437.70009

The contact problem in Lagrangian systems with redundant frictional bilateral and unilateral constraints and singular mass matrix. The all-sticking contacts problem. (English) Zbl 1437.70010