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A new algorithm of time stepping in the nonlinear dynamic analysis. (English) Zbl 1002.74100

Summary: We present a time stepping scheme for solving nonlinear dynamic problems. By expanding variables in a discretized time interval, FEM-based recurrent formulae are derived leading to a self-adaptive algorithm for different time steps. There is no requirement of iteration for nonlinear solutions. Numerical validation shows satisfactory results.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
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