高阶能量一致积分方法及其在结构动力分析中的应用

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Abstract The energy consistent integration method is a second-order and unconditionally stable step-by-step integration method. To improve the accuracy of this method, a symplectic Runge-Kutta method is improved to construct the general form of the high-order energy consistent integration method. This method maintains both fourth-order accuracy and energy consistency properties. The accuracy and numerical stability properties of the method are verified by a non-linearly elastic example. For the truss element, the specific application format of the new method is deduced, and the corresponding nonlinear program is completed. The program includes the second and fourth-order energy consistent integration methods, the average acceleration method (AAM) and the fourth-order method constructed from AAM. Four step-by-step integration methods were compared by nonlinear dynamic analysis of elastic pendulum and planar truss structures. The analysis results show that the fourth-order energy consistent integration method is better than the other three methods in terms of accuracy, stability and computational efficiency.

Key words： step-by-step integration methods energy consistent nonlinearity numerical stability average acceleration method symplectic method

Received: 24 January 2022 Published: 15 May 2023

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	PAN Tianlin
	ZHANG Wendi
	HAN Yantao
	XU Xiaojie
	ZENG Cong

Cite this article:

PAN Tianlin,ZHANG Wendi,HAN Yantao, et al. High-order energy consistent integration method and its application in structural dynamic analysis[J]. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(9): 247-252.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2023/V42/I9/247

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