Energy dissipative time finite elements for classical mechanics

被引：6

作者：

Bui, QV ^{[1
]}

机构：

[1] Univ Liege, Inst Mech, LTAS, Continuum & Thermodynam Mech Dept, B-4000 Liege 1, Belgium

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2003年 / 192卷 / 26-27期

关键词：

time continuous Galerkin method; time finite element; integration scheme; dissipative system; Hamilton's equations;

D O I：

10.1016/S0045-7825(03)00310-4

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Based upon the temporal discretisation of Hamilton's canonical equations by means of the continuous Galerkin method, a Petrov-Galerkin time finite element formulation is presented to analyse non-linear mechanical systems for long time integration with the presence of dissipation. The time-stepping scheme features a correct estimation of physical dissipative energy for mechanical systems with weak dissipation. This enables to introduce a moderate numerical dissipation to damp out undesired spurious high frequency modes in a controllable manner. Numerical examples are performed to demonstrate that the proposed scheme allows us to obtain a correct amount by which the energy changes over the integration run. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：2925 / 2947

页数：23

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