考虑横向拉伸的S-FGM板振动特性分析

Analysis of the vibration characteristics of S-FGM plate considering transverse stretching effect

S-FGM板具有良好的机械负荷性能,为了使其满足高压、高温等环境要求,需要对其进行振动特性分析。采用正弦剪切变形理论,考虑横向拉伸对面外位移的影响给出了S-FGM板的位移场,根据Hamilton原理,使用纳维法建立了四边简支条件下S-FGM板的动力学方程,并进行了数值求解。通过与Abaqus有限元自由振动仿真结果进行对比,验证了振动理论模型的正确性及可行性。在此基础上,分析了材料的体积分数、板的厚度及板的长宽比对基频的影响。

S-FGM plate has good mechanical load performance.In order to meet the environment requirements of high pressure and high temperature,it is necessary to analyze the vibration characteristics of S-FGM plate.Based on the sinusoidal shear deformation theory,the displacement field of S-FGM plate is given considering the effect of transverse stretching on the out-of-plane displacement.According to Hamilton principle,the dynamic equation of S-FGM plate with four simply supported sides is established by using the Navier method,and the numerical solution is obtained.Compared with the simulation results of Abaqus finite element for the free vibration,the correctness and feasibility of the theoretical vibration model are verified.On this basis,the effects of the volume fraction,the thickness of the plate and the length-width ratio of the plate on the fundamental frequency are analyzed.