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Vibration Analysis of Timoshenko Beams on a Nonlinear Elastic Foundation
Authors:MO Yihua  OU Li  ZHONG Hongzhi
Institution:MO Yihua,OU Li,ZHONG Hongzhi ** Department of Civil Engineering,Tsinghua University,Beijing 100084,China,School of Civil , Architectural Engineering,Central South University,Changsha 410075
Abstract:The vibrations of beams on a nonlinear elastic foundation were analyzed considering the effects of transverse shear deformation and the rotational inertia of beams. A weak form quadrature element method (QEM) is used for the vibration analysis. The fundamental frequencies of beams are presented for various slenderness ratios and nonlinear foundation parameters for both slender and short beams. The results for slender beams compare well with finite element results. The analysis shows that the transverse shea...
Keywords:weak form quadrature element method (QEM)  nonlinear foundation  vibration  Timoshenko beam
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