Large amplitude free vibrations of beams - an energy approach

被引：23

作者：

Rao, GV ^{[1
]}

Raju, KK ^{[1
]}

机构：

[1] Vikram Sarabhai Space Ctr, Struct Engn Grp, Trivandrum 695022, Kerala, India

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2003年 / 83卷 / 07期

关键词：

D O I：

10.1002/zamm.200310024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The conservation of energy principle, which says that the total energy of a vibrating system, at any given instant of time is constant, is used to evaluate the large amplitude free vibration behaviour of beams with immovable ends. With an assumed space mode, which satisfies the geometric boundary conditions, the final governing equation is obtained. This equation is solved by a numerical integration scheme to obtain the ratio of frequencies of nonlinear to linear systems. Comparison of the present results with those of other researchers on this topic and a Galerkin approximation is also included.

引用

页码：493 / 498

页数：6