摘要
研究了置于流体中无限大各向同性功能梯度材料板相对于入射弹性波的传输系数.首先给出弹性波在多层介质中传播的循环刚度矩阵计算方法,然后利用该方法计算了弹性模量以幂函数形式变化、泊松比不变的功能梯度材料板相对于入射弹性波传输系数,分析了材料性能的梯度变化对传输系数与频厚积关系的影响.结果表明当频厚积较大时,材料性能的梯度变化明显影响弹性波的传输系数.
This paper presented an investigation on the transmission coefficient of elastic waves in an isotropic functionally graded plate immersed in the fluid,then the recursive stiffness matrix method was furnished to study the waves propagating in a multilayered structure,and finally the method applied to study the transmission coefficients of elastic waves in a functionally graded plate.Yang's modulus was assumed to have the power law profiles while the Poisson ratio was kept as a constant.The influence of the properties of the graded materials on the relationship between the transmission coefficient and the frequency-thickness was analyzed.The results show that the properties of the graded materials have significant effects on the transmission coefficients when the value of frequency-thickness is high.
出处
《青岛理工大学学报》
CAS
2011年第2期113-117,共5页
Journal of Qingdao University of Technology
关键词
功能梯度材料
循环刚度矩阵法
传输系数
functionally graded material
recursive stiffness matrix method
transmission coefficient