ACCURACY OF STRING ELEMENT MASS MATRIX

被引：7

作者：

FRIED, I

机构：

[1] Department of Aeronautical Engineering, Technion-Israel Institute of Technology, Haifa

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1979年 / 20卷 / 03期

关键词：

D O I：

10.1016/0045-7825(79)90006-9

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Various element mass matrices are considered for the two-nodal-point string element. From finite difference arguments it is known that an optimal element mass matrix exists - equal to half the sum of the lumped and consistent mass matrices - which causes an error of only 0(h4) in the computed natural frequencies instead of the 0(h2) that is obtained with the consistent matrix. It is shown here that nonuniformity in the mesh destroys this optimality and has also an adverse effect on the accuracy of the frequencies computed with the lumped element mass matrix. © 1979.

引用

页码：317 / 321

页数：5

共 4 条

[1]

Fried, Numerical solution of differential equations, (1979)

[2]

MacNeal, The NASTRAN theoretical manual, Level 15 (NASA SP221(01), (1972)

[3]

Goudreau, Taylor, Evaluation of numerical methods in elastodynamics, Computer Methods in Applied Mechanics and Engineering, 2, pp. 67-79, (1973)

[4]

Argyris, Dunne, Non-linear and post-buckling analysis of structures, Proceedings of the U.S.-Germany symposium: Formulation and computational algorithms in finite element analysis, pp. 525-571, (1977)

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