A robust composite time integration scheme for snap-through problems

被引：48

作者：

Chandra, Yenny ^{[1
]}

Zhou, Yang ^{[1
]}

Stanciulescu, Ilinca ^{[1
]}

Eason, Thomas ^{[2
]}

Spottswood, Stephen ^{[2
]}

机构：

[1] Rice Univ, Dept Civil & Environm Engn, Houston, TX 77005 USA

[2] Air Force Res Lab, Struct Sci Ctr, Wright Patterson AFB, OH USA

来源：

COMPUTATIONAL MECHANICS | 2015年 / 55卷 / 05期

关键词：

Time integration; Nonlinear dynamics; Snap-through; Backward differentiation formula; INVARIANT CONSERVING/DISSIPATING ALGORITHMS; IMPROVED NUMERICAL DISSIPATION; MOMENTUM CONSERVING ALGORITHM; ELASTIC MULTIBODY SYSTEMS; ENERGY DECAYING SCHEME; NONLINEAR DYNAMICS; STEPPING ALGORITHMS; ROTATIONAL DOFS; FORMULATION; SHELLS;

D O I：

10.1007/s00466-015-1152-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A robust time integration scheme for snap-through buckling of shallow arches is proposed. The algorithm is a composite method that consists of three sub-steps. Numerical damping is introduced to the system by employing an algorithm similar to the backward differentiation formulas method in the last sub-step. Optimal algorithmic parameters are established based on stability criteria and minimization of numerical damping. The proposed method is accurate, numerically stable, and efficient as demonstrated through several examples involving loss of stability, large deformation, large displacements and large rotations.

引用

页码：1041 / 1056

页数：16

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