ANALYTICAL SOLUTIONS FOR VIBRATION NEAR THE BUCKLED CONFIGURATION OF FGM BEAMS UNDER AN IN-PLANE THERMAL LOADING

摘要：

Analytical solution is obtained for the dynamic responses around the buckled configuration of FGM beams subjected to a uniform in-plane thermal loading.The equations governing the axial and transverse deformations of FGM beams are derived based on the classical beam theory and the physical neutral surface concept.The two equations are reduced to a single nonlinear fourth-order integraldifferential equation governing the transverse deformation.By assuming that the amplitude of beams vibration is infinitesimal,and its response harmonic,the non-linear partial differential equations are reduced to two sets of coupled ordinary differential equations;one for postbuckling and the other for linear vibrations of the beam superimposed upon the buckled configuration.The nonlinear equation is directly solved and analytical solutions for static and dynamic responses are obtained.

关键词： Functionally graded material beam analytical solution dynamic response in-plane thermal loading

作者: L.S.Ma

作者单位: School of Science,Lanzhou University of Technology,Lanzhou 730050,China

会议类型: 国际会议

会议名称: The Third International Conference on Heterogeneous Material Mechanics(第三届国际非均匀材料力学会议)

会议地点: 上海

会议语种:英文

页码: 1112-1115

在线出版日期: 2011-05-22（万方平台首次上网日期，不代表论文的发表时间）