A simple explicit single step time integration algorithm for structural dynamics. (English) Zbl 1425.74474
Summary: In this article, a new single-step explicit time integration method is developed based on the Newmark approximations for the analysis of various dynamic problems. The newly proposed method is second-order accurate and able to control numerical dissipation through the parameters of the Newmark approximations. Explicitness and order of accuracy of the proposed method are not affected in velocity-dependent problems. Illustrative linear and nonlinear examples are used to verify performances of the proposed method.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 65L06 | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations |
| 65L12 | Finite difference and finite volume methods for ordinary differential equations |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
Keywords:
controllable numerical dissipation; explicit time integration method; impact and wave propagation; linear and nonlinear structural dynamics; pendulumsReferences:
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