Abstract:A new structure-dependent unconditionally stable time-integration method was presented for structural dynamic analysis. The proposed method not only benefits from an explicit formulation, but also inherits the advantage of the Bathe composite scheme. The numerical characteristics of the proposed algorithm are the same as those in the Bathe composite scheme, except that the suggested method does not require any time-subdividing, which is one of the drawbacks of the composite scheme. A comprehensive stability and accuracy analysis, including dissipation and dispersion, was carried out in order to gain an insight into the spectral properties of the proposed method. Also, when the proposed algorithm was used to analyse the multi degrees of freedom system, the derivation and expression of the two integral parameters were given. Finally, the correctness and effectiveness of the proposed algorithm was verified by comparing the results of linear and nonlinear problems calculated by the suggested method with those calculated by other existing algorithms.
收稿日期: 2018-03-23
出版日期: 2019-03-15
引用本文:
孟凡涛1,2 赵建锋1. 基于Bathe隐式算法的结构动力学显式算法[J]. 振动与冲击, 2019, 38(6): 226-232.
MENG Fantao1,2, ZHAO Jianfeng1. Explicit algorithm for structural dynamics based on the Bathe implicit algorithm. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(6): 226-232.
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