自然科学版 英文版
自然科学版 英文版
自然科学版 英文版

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中南大学学报(英文版)

Journal of Central South University

Vol. 24    No. 5    May 2017

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Comparison and assessment of time integration algorithms for nonlinear vibration systems
YANG Chao(杨超)1, 2, YANG Bao-zhu(杨宝柱)1, ZHU Tao(朱涛)1, XIAO Shou-ne(肖守讷)1

1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, China;
2. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China

Abstract:A corrected explicit method of double time steps (CEMDTS) was introduced to accurately simulate nonlinear vibration problems in engineering. The CEMDTS, the leapfrog central difference method, the Newmark method, the generalized-a method and the precise integration method were implemented in typical nonlinear examples for the purpose of comparison. Both conservative and non-conservative systems were examined. The results show that it isn’t unconditionally stable for the precise integration method, the Newmark method and the generalized-a method in nonlinear systems. The stable interval of the three methods is less than that of the CEMDTS. When a small time step (?t≤Tmin/20) is employed, the precise integration method is endowed with the highest accuracy while the CEMDTS possesses the smallest computation effort. However, the CEMDTS becomes the most accurate one when the time step is large (?t≥0.3Tmin) or the system is strongly nonlinear. Therefore, the CEMDTS is more applicable to the nonlinear vibration systems.

 

Key words: nonlinear vibration; conservative system; explicit algorithm; accuracy

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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