Efficient evaluation of the elastic forces and the Jacobian in the absolute nodal coordinate formulation

被引：122

作者：

García-Vallejo, D ^{[1
]}

Mayo, J ^{[1
]}

Escalona, JL ^{[1
]}

Domínguez, J ^{[1
]}

机构：

[1] Univ Seville, Dept Mech & Mat Engn, Seville 41092, Spain

来源：

NONLINEAR DYNAMICS | 2004年 / 35卷 / 04期

关键词：

absolute nodal coordinates; invariant matrices; multibody systems; nonlinear elastic forces;

D O I：

10.1023/B:NODY.0000027747.41604.20

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper develops a new procedure for evaluating the elastic forces, the elastic energy and the jacobian of the elastic forces in the absolute nodal coordinate formulation. For this procedure, it is fundamental to use some invariant sparse matrices that are integrated in advance and have the property of transforming the evaluation of the elastic forces in a matrix multiplication process. The use of the invariant matrices avoids the integration over the volume of the element for every evaluation of the elastic forces. Great advantages can be achieved from these invariant matrices when evaluating the elastic energy and calculating the jacobian of the elastic forces as well. The exact expression of the jacobian of the differential system of equations of motion is obtained, and some advantages of using the absolute nodal coordinate formulation are pointed out. Numerical results show that there is important time saving as a result of the use of the invariant matrices.

引用

页码：313 / 329

页数：17

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