A comparative study of the Galerkin approximation utilized in the Timoshenko beam theory

被引：19

作者：

Dadfarnia, M

Jalili, N ^{[1
]}

Esmailzadeh, E

机构：

[1] Clemson Univ, Smart Struct & Nanoelectromech Lab, Dept Mech Engn, Clemson, SC 29634 USA

[2] Univ Ontario, Inst Technol, Fac Engn & Appl Sci, Oshawa, ON L1H 7K4, Canada

来源：

JOURNAL OF SOUND AND VIBRATION | 2005年 / 280卷 / 3-5期

关键词：

Beams and girders - Computer simulation - Deformation - Eigenvalues and eigenfunctions - Elasticity - Equations of motion - Error analysis - Galerkin methods - Hamiltonians - Kinematics - Laminated composites;

D O I：

10.1016/j.jsv.2004.02.028

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The Galerkin approximation, which is used in the Timoshenko beam theory, was investigated with identical and different time functions for transverse deflection and beam's cross-sectional rotation. The equations of motion for identical time functions were obtained using orthogonality conditions. For the different time functions in Galerkin approximation, the equations of motion were derived using Lagrangian approach. The results show that the related time functions in simply supported-simply supported and clamped-simply supported cases are identical.

引用

页码：1132 / 1142

页数：11

共 9 条

[1] Optimum design of vibration absorbers for structurally damped timoshenko beams [J].