Approximation of the vibration modes of a Timoshenko curved rod of arbitrary geometry

被引：9

作者：

Hernandez, Erwin ^{[2
]}

Otarola, Enrique ^{[2
]}

Rodriguez, Rodolfo ^{[1
]}

Sanhueza, Frank ^{[1
]}

机构：

[1] Univ Concepcion, Dept Ingn Matemat, GI2MA, Concepcion, Chile

[2] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2009年 / 29卷 / 01期

关键词：

FINITE-ELEMENT METHODS; CONVERGENCE; ACCURACY; LOCKING;

D O I：

10.1093/imanum/drn002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to analyse a mixed finite-element method for computing the vibration modes of a Timoshenko curved rod with arbitrary geometry. Optimal order error estimates are proved for displacements, rotations and shear stresses of the vibration modes, as well as a double order of convergence for the vibration frequencies. These estimates are essentially independent of the thickness of the rod, which leads to the conclusion that the method is locking-free. Numerical tests are reported in order to assess the performance of the method.

引用

页码：180 / 207

页数：28

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