A simple explicit single step time integration algorithm for structural dynamics
Copyright policy )A simple explicit single step time integration algorithm for structural dynamics
SummaryIn 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.
- Army and Navy Academy United States
Finite difference and finite volume methods for ordinary differential equations, pendulums, Finite element methods applied to problems in solid mechanics, impact and wave propagation, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Other numerical methods in solid mechanics, Numerical methods for initial value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, controllable numerical dissipation, explicit time integration method, linear and nonlinear structural dynamics
Finite difference and finite volume methods for ordinary differential equations, pendulums, Finite element methods applied to problems in solid mechanics, impact and wave propagation, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Other numerical methods in solid mechanics, Numerical methods for initial value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, controllable numerical dissipation, explicit time integration method, linear and nonlinear structural dynamics
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