层合压电材料冲击问题的时域间断Galerkin有限元方法求解

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Abstract A time discontinuous Galerkin finite element method (DGFEM) is used to simulate the problem of laminated piezoelectric material subjected to the high-frequency impulsive load.At present, the traditional numerical method for solving the dynamic problem of piezoelectric solid subjected to high frequency impulsive load generally fails to properly capture discontinuities of waves in space and interface between two layers, and produces spurious numerical oscillations in the simulation of high modes and sharp gradients.In order to filter out the spurious oscillations, an artificial damping scheme, which based on the DGFEM, was implemented in the final finite element formula.Numerical results of one dimension and two dimension show that the developed DGFEM presents good abilities and provides much more accurate solutions for piezoelectric problem.It can capture the discontinuities effectively at the wave front and wave after and filter out the effects of spurious numerical oscillation induced by high-frequency impulsive load.

Key words： time discontinuous Galerkin finite element method impulsive load laminated piezoelectric material numerical oscillation

Received: 09 June 2017 Published: 15 December 2018

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	Articles by authors
	GUO Pan1
	WEI Hongtao1
	WU Wenhua2
	XU Guangtao3
	ZHAO Jun1

Cite this article:

GUO Pan1,WEI Hongtao1,WU Wenhua2, et al. A time discontinuous Galerkin finite element method for the solution of impact problem of laminated piezoelectric material[J]. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(24): 195-200.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2018/V37/I24/195

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