Found 343 Documents (Results 1–100)
On the orbital stability of pendulum periodic motions of a heavy rigid body with a fixed point in the case of principal inertia moments ratio 1 : 4 : 1. (English. Russian original) Zbl 07853959
Mech. Solids 58, No. 8, 2894-2907 (2023); translation from Prikl. Mat. Mekh. 87, No. 5, 784-800 (2023).
MSC:
70Exx
One class of resonance precession motions of a rigid body under the action of three homogeneous force fields. (English. Russian original) Zbl 07853926
Mech. Solids 58, No. 7, 2544-2556 (2023); translation from Prikl. Mat. Mekh. 87, No. 1, 3-18 (2023).
MSC:
70Exx
The nonsmooth dynamics of combined slip and spin motion under dry friction. (English) Zbl 1510.74090
Qualitative analysis of the dynamics of a trailed wheeled vehicle with periodic excitation. (English) Zbl 1512.70019
Fault identification in cracked rotor-AMB system using magnetic excitations based on multi harmonic influence coefficient method. (English) Zbl 07484737
A stiction oscillator under slowly varying forcing: uncovering small scale phenomena using blowup. (English) Zbl 1501.34020
Ruled surfaces in Minkowski 3-space and split quaternion operators. (English) Zbl 1491.53006
Reviewer: Pradip Kumar (Lucknow)
The periodic rotary motions of a rigid body in a new domain of angular velocity. (English) Zbl 1465.70023
Asymptotically uniform motions of a rigid body in A. Klebsch, A. M. Lyapunov and V. A. Steklov solutions of Kirchhof-Poisson equations. (Russian. English summary) Zbl 1491.70006
MSC:
70E15
Bifurcation analysis of a system of three connected bodies in a homogeneous gravitational field. (English. Russian original) Zbl 1481.70035
Mosc. Univ. Mech. Bull. 75, No. 6, 160-169 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 40-48 (2020).
Rolling maps and nonlinear data. (English) Zbl 1512.70006
Grohs, Philipp (ed.) et al., Handbook of variational methods for nonlinear geometric data. Cham: Springer. 577-610 (2020).
Another map from \(\mathbb{P}^7\) to the study quadric. (English) Zbl 1441.70001
Reviewer: Hans-Peter Schröcker (Innsbruck)
MSC:
70B10
On periodic motions of a rigid body suspended on a thread in a uniform gravity field. (Russian. English summary) Zbl 1465.70027
Towards parametric bi-invariant density estimation on \(\mathrm{SE}(2)\). (English) Zbl 1458.62068
Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 695-702 (2019).
Lateral dynamics of walking-like mechanical systems and their chaotic behavior. (English) Zbl 1423.70035
Bifurcations of Liouville tori in a system of two vortices of positive intensity in a Bose-Einstein condensate. (English. Russian original) Zbl 1416.37052
Dokl. Math. 99, No. 2, 225-229 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 670-675 (2019).
Integrability and dynamics of the \(n\)-dimensional symmetric Veselova top. (English) Zbl 1418.37107
Rational minimal-twist motions on curves with rotation-minimizing Euler-Rodrigues frames. (English) Zbl 1410.53002
On a class of asymptotic solutions of equations of rigid body dynamics. (Russian. English summary) Zbl 1491.70003
Nonlinear surge motions of a ship in bi-chromatic following waves. (English) Zbl 1510.70027
MSC:
70E99
On the stability of pendulum-type motions in the approximate problem of dynamics of a Lagrange top with a vibrating suspension point. (English) Zbl 1419.70002
Persistent rigid-body motions and study’s “Ribaucour” problem. (English) Zbl 1375.53023
Reviewer: N. K. Stephanidis (Thessaloniki)
MSC:
53A25
Spinning bodies in general relativity. (English) Zbl 1364.53021
Reviewer: Fortuné Massamba (Pietermaritzburg)
Pendulum system with an infinite number of equilibrium states and quasiperiodic dynamics. (Russian. English summary) Zbl 1372.70017
On the motion of a liquid-filled rigid body subject to a time-periodic torque. (English) Zbl 1338.35362
Amann, Herbert (ed.) et al., Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata’s 60th birthday, Nara, Japan, March, 5–9, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0938-2/hbk; 978-3-0348-0939-9/ebook). Advances in Mathematical Fluid Mechanics, 233-255 (2016).
Parametric instability of flexible rotor-bearing system under time-periodic base angular motions. (English) Zbl 1443.70029
MSC:
70E50
The kinetic energy formula for the closed planar homothetic motions in complex plane. (English) Zbl 1337.53014
Reviewer: Clementina Mladenova (Sofia)
Periodic motions and bifurcation trees in a buckled, nonlinear Jeffcott rotor system. (English) Zbl 1309.70009
On the geometry of motions in one integrable problem of the rigid body dynamics. (English) Zbl 1417.37204
Stability of steady-state motion of an isolated system consisting of a rotating body and two pendulums. (English. Russian original) Zbl 1314.70004
Int. Appl. Mech. 50, No. 4, 459-469 (2014); translation from Prikl. Mekh., Kiev 50, No. 4, 77-86 (2014).
Visualization of one class of two-frequency motions of a rigid body. (Russian. English summary) Zbl 1486.70044
MSC:
70E40
A partitioned coupling scheme extended to structures interacting with high-density fluid flows. (English) Zbl 1290.76074
On the orbital stability of pendulum-like vibrations of a rigid body carrying a rotor. (English) Zbl 1286.70009
A family of trigonometric extremals in the problem of reorienting a spherically symmetrical body with minimum energy consumption. (English. Russian original) Zbl 1282.49026
J. Appl. Math. Mech. 77, No. 2, 205-211 (2013); translation from Prikl. Mat. Mekh. 77, No. 2, 283-291 (2013).
Nonuniform Fourier transforms for rigid-body and multidimensional rotational correlations. (English) Zbl 1310.92065
Selected problems of the mechanics of systems with dry friction. (Избранные задачи механики систем с сухим трением.) (Russian) Zbl 1285.74002
Moskva: Fizmatlit (ISBN 978-5-9221-1444-8/hbk). 196 p. (2013).
On stability of the Chaplygin ball motion on a plane with an arbitrary friction law. (Russian. English summary) Zbl 1299.70011
The periodic motions of a rigid body in the Hess case. (Russian. English summary) Zbl 1264.70007
MSC:
70E05
37J45
A geometric algorithm for the output functional controllability in general manipulation systems and mechanisms. (English) Zbl 1255.93109
On the orbital stability of pendulum-like oscillations and rotations of a symmetric rigid body with a fixed point. (English) Zbl 1253.70009
Motion design with Euler-Rodrigues frames of quintic Pythagorean-hodograph curves. (English) Zbl 1263.65018
Reviewer: Ivana Linkeová (Praha)
Computational dynamics of a 3D elastic string pendulum attached to a rigid body and an inertially fixed reel mechanism. (English) Zbl 1280.70002
Methods of qualitative analysis in the problem of rigid body motion in medium. (English) Zbl 1270.70006
An alternative approach for chaos: A plane pendulum with oscillating torque. (English) Zbl 1232.65105
Reviewer: M. Gousidou-Koutita (Thessaloniki)
A numerical investigation of side-loads resulting from rigid body motions of an overexpanded engine nozzle. (English) Zbl 1448.76101
Precessional motions of a gyrostat with variable gyrostatic momentum under the potential and gyroscopic forces. (Russian. English summary) Zbl 1486.70020
Analytical solution for the response of a flexible retaining structure with an elastic backfill. (English) Zbl 1273.74245
MSC:
74L10
Determining the characteristics of a self-excited oscillation in rotor/stator systems from the interaction of linear and nonlinear normal modes. (English) Zbl 1208.70005
Characteristics of dry friction backward whirl. A self-excited oscillation in rotor-to-stator contact systems. (English) Zbl 1383.70004
Generalized penetration depth computation based on kinematical geometry. (English) Zbl 1205.70007
MSC:
70B10
A geometrical approach to the motion planning problem for a submerged rigid body. (English) Zbl 1190.93021
Melnikov’s method for ship motions without the constraint of small linear damping. (English) Zbl 1208.70020
Kreuzer, Edwin (ed.), IUTAM symposium on fluid-structure interaction in ocean engineering. Proceedings of the IUTAM symposium held in Hamburg, Germany, July 23–26, 2007. Dordrecht: Springer (ISBN 978-1-4020-8629-8/hbk). IUTAM Bookseries 8, 297-306 (2008).
Permanent revolutions of a body with viscous filler suspended on a rod. (Russian, English) Zbl 1177.74141
Prikl. Mat. Mekh. 72, No. 3, 355-373 (2008); translation in J. Appl. Math. Mech. 72, No. 3, 235-249 (2008).
Reviewer: Julia A. Martynyuk (Kyïv)
On one class of asymptotic-precession motions of spherical gyrostat under the influence potential and gyroscopic forces. (Russian. English summary) Zbl 1164.70001
Reviewer: I. T. Selezov (Kyïv)
On isoconic motions of gyrostat in the case of two linear invariant relations of Kirchhoff equations. (Russian. English summary) Zbl 1164.70003
Reviewer: I. T. Selezov (Kyïv)
On the minimum and maximum averaged resistance problem of moving bodies. (English) Zbl 1155.70008
J. Math. Sci., New York 145, No. 5, 5295-5302 (2007); translation from Sovrem. Mat. Prilozh. 36, 142-148, (2005).
MSC:
70E99
Steady motions of a top filled with a viscous fluid on a plane with friction. (English. Russian original) Zbl 1150.70306
Mosc. Univ. Mech. Bull. 61, No. 6, 1-5 (2006); translation from Vestn. Mosk. Univ., Ser. I 2006, No. 6, 22-26, 62 (2006).
Reviewer: Julia A. Martynyuk (Kyïv)
On additional stability condition for stationary motions of a gimbal suspended synchronous gyro. (Russian) Zbl 1137.70317
Reviewer: Vladimir Evgenievich Puzyrev (Donetsk)
Grazing bifurcations and chaos in the dynamics of a hydraulic damper with relief valves. (English) Zbl 1090.37058
Steady motions of an axisymmetric satellite: an atlas of their bifurcations. (English) Zbl 1141.70318
Stability and branching of permanent rotations of a body with liquid filling. (Russian, English) Zbl 1122.70312
Prikl. Mat. Mekh. 68, No. 6, 994-998 (2004); translation in J. Appl. Math. Mech. 68, No. 6, 893-897 (2004).
Reviewer: L. N. Chernetskaja (Kyïv)
Rolling of a rigid body on a moving surface. (Russian, English) Zbl 1122.70323
Prikl. Mat. Mekh. 68, No. 5, 886-895 (2004); translation in J. Appl. Math. Mech. 68, No. 5, 793-801 (2004).
Reviewer: A. Karimzhanov (Andizhan)
On vibrational floating. (English) Zbl 1045.70513
Chaplygin’s sphere. arXiv:math/0409019
Preprint, arXiv:math/0409019 [math.DS] (2004).
Precession motions in solid body dynamics and dynamics of systems of connected rigid bodies. (Russian, English) Zbl 1150.70310
Prikl. Mat. Mekh. 67, No. 4, 571-587 (2003); translation in J. Appl. Math. Mech. 67, No. 4, 511-523 (2003).
Reviewer: Julia A. Martynyuk (Kyïv)
On the motion of a body on a suspension. (Russian) Zbl 1120.70307
Reviewer: G. V. Mozalevskaya (Donetsk)
MSC:
70E15
On particle-particle interactions in solid, non-conducting impurity removal. (English) Zbl 1037.76069
Perturbed rotational motions of a rigid body under the action of nonstationary restoring moment. (Russian) Zbl 1055.70002
Reviewer: Boris Ivanovich Konosevich (Donetsk)
On procedures to evaluate regimes of low-height landing. (Russian) Zbl 1075.70507
Reviewer: I. T. Selezov (Kyïv)
Studies of the Hoyer system. (English) Zbl 1038.70003
Invariant manifolds, nonclassical normal modes, and proper orthogonal modes in the dynamics of the flexible spherical pendulum. (English) Zbl 1011.70021
Numerical analysis of dynamics of new damper of forced oscillations. (Ukrainian. English summary) Zbl 1074.70560
An implicit boundary element solution with consistent linearization for free surface flows and nonlinear fluid-structure interaction of floating bodies. (English) Zbl 1014.76054
Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element. (English) Zbl 0977.74063
Stability analysis of sliding whirl in a nonlinear Jeffcott rotor with cross-coupling stiffness coefficients. (English) Zbl 0993.70007
Stability of periodic motions with impacts. (English) Zbl 1012.70012
Brogliato, Bernard (ed.), Impacts in mechanical systems. Analysis and modelling. Papers from the Euromech Colloquium 397, Grenoble, France, June 30-July 2, 1999. Berlin: Springer. Lect. Notes Phys. 551, 145-187 (2000).
The stability of regular Grioli precessions. (English. Russian original) Zbl 0983.70005
J. Appl. Math. Mech. 64, No. 5, 811-819 (2000); translation from Prikl. Mat. Mekh. 64, No. 5, 848-857 (2000).
Reviewer: A. N. Chernienko (Kyïv)
Lyapunov families of periodic motions in a reversible system. (English. Russian original) Zbl 1006.70022
J. Appl. Math. Mech. 64, No. 1, 41-52 (2000); translation from Prikl. Mat. Mekh. 64, No. 1, 46-58 (2000).
Reviewer: N. V. Nikitina (Kyïv)
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