An exact solution for the natural frequencies of flexible beams undergoing overall motions

被引:5
作者
Nayfeh, AH
Emam, SA
Preidikman, S
Mook, DT
机构
[1] Virginia Polytech Inst & State Univ, Dept Engn Sci & Mech, Blacksburg, VA 24061 USA
[2] Univ Nacl Rio Cuarto, Dept Ingn Mecan, RA-5800 Rio Cuarto, Argentina
[3] Virginia Polytech Inst & State Univ, Dept Engn Sci & Mech, Blacksburg, VA 24061 USA
关键词
flexible beams; rigid-body motion; linear vibrations;
D O I
10.1177/107754603030692
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
We investigate the free vibrations of a flexible beam undergoing an overall two-dimensional motion. The beam is modeled using the Euler Bernoulli beam theory An exact solution for the natural frequencies and corresponding mode shapes of the beam is obtained. The model can be extended to beams undergoing three-dimensional motions.
引用
收藏
页码:1221 / 1229
页数:9
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