The vibration analysis of shape memory alloy rectangular plate with a partially crack
This article is concerned with the vibration analysis of a shape memory alloy rectangular plate with a partially crack.Based on a fifth order polynomial constitutive description of the thermo-mechanical and pseudo-elastic behaviors of the shape memory alloy,and a crack in the form of a continuous line with its center located at the center of the plate and parallel to one edge of the plate,the nonlinear dynamic equilibrium equation of the plate is established first.The formulation of the crack terms is obtained from the model of Rice and Levy by an approximate relation for nominal tensile and bending stresses based on Kirchoffs theory for thin plates.The plate is subjected to a point load on its surface for simply supported boundary condition.Galerkins method is applied to reformulate the governing equation of the SMA rectangular plate with a partially crack into time dependent modal coordinates.The method of multiple scales is applied to solve the nonlinear dynamic equation of the SMA cracked plate.The results presented here are in terms of natural frequency versus crack length,the ratio of crack depth and plate thickness.Over a practical range of external excitation frequencies,the nonlinear amplitude response of the plate is calculated for three different load locations.For different locations the loads act on and different amplitude of loads on the surface of the plate,the frequency-response relations are also investigated.
SMA Crack Rectangular Vibration Nonlinear
Zhihua Huang Yinghui Li
School of Mechanics and Engineering,Southwest Jiaotong University,Chengdu 610031,China
国际会议
成都
英文
451-458
2009-10-16（万方平台首次上网日期，不代表论文的发表时间）