INVESTIGATION OF NATURAL FREQUENCIES AND MODE SHAPES OF BUCKLED BEAMS

被引：149

作者：

NAYFEH, AH ^{[1
]}

KREIDER, W ^{[1
]}

ANDERSON, TJ ^{[1
]}

机构：

[1] MEMPHIS STATE UNIV,DEPT MECH ENGN,MEMPHIS,TN 38152

来源：

AIAA JOURNAL | 1995年 / 33卷 / 06期

关键词：

D O I：

10.2514/3.12669

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

The linear modes of vibration of buckled beams are investigated analytically and experimentally. Assuming a static buckled shape corresponding to the nth buckling mode, an exact solution is obtained for the linear modes and associated frequencies of initially buckled beams with fixed-fixed, fixed-hinged, and hinged-hinged boundary conditions. The analytical solution for a first-mode buckled beam is validated experimentally for the fixed-fixed case. The analytically obtained natural frequencies are in excellent agreement with those obtained experimentally. These exact linear modes provide a basis from which to study the nonlinear vibrations of buckled beams.

引用

页码：1121 / 1126

页数：6

共 8 条

[1]

Afaneh R. A., 1993, NONLINEAR DYNAM, V4, P547, DOI [10.1007/bf00162232.[13]C, DOI 10.1007/BF00162232.[13]C]

[2]

BURGREEN D, 1951, J APPL MECH-T ASME, V18, P135

[3] LARGE AMPLITUDE VIBRATION OF BUCKLED BEAMS AND RECTANGULAR PLATES [J].