基于有限体积法求解FGM动态响应及固有特性

Solving dynamic performance and natural characteristicsof FGM by finite volume method

采用有限体积法研究功能梯度材料(FGM)的动态响应及固有特性.基于交错非结构有限体积方法离散弹性动力学方程,通过显格式推进求解离散方程.加速度、速度及位移定义在网格节点上,物性参数定义在网格单元中心.采用双线性四边形单元和常应变三角形单元处理混合网格问题.数值模拟FGM试件的动态响应及固有频率,结果表明所提方法可以有效地模拟功能梯度材料动态响应及固有频率.

Finite volume method was employed to investigate the tr ansient response and natural characteristics of functionally graded material（FG M） specimens.The elastic dynamic equation was discretized by finite volume meth od and the discrete equation was solved by time marching method.The acceleratio n,velocity and displacement were defined on the node while material properties were defined at the center of the grid.The quadrilateral element,which was tre ated as the bilinear element while considering both linear term and constant ter m,and the triangular element were adopted to deal with mixed grid problems.Num erical simulations of two FGM specimens were accomplished.According to the comp arison of the numerical results and the published data or the results from ANSYS,the present method is able to provide accurate and precise prediction of the t ransient response and natural characteristics of FGM specimens.