一维复合波入射的固-固界面接触特性分析

Analysis of the nonlinear stiffness characteristics of solid-solid contact interface based on one-dimensional composite wave incidence

基于弹性波理论,针对接触面非线性相互作用,建立了一个非线性刚度模型,利用接触应力描述非线性刚度特性。引入包含基波和谐波的一维复合波入射,在二阶微扰近似以及非线性边界条件下,给出了界面的反射波和透射波的表达式,得到反射系数和透射系数。结合界面线性刚度和接触应力的幂律关系,定义了四个非线性系数。通过数值计算分析了固-固界面的非线性特性以及谐波对于接触应力的依赖性。

Based on the theory of the one-dimensional nonlinear interaction between elastic wave and contact surface,a nonlinear stiffness model using contact pressure to describe nonlinear stiffness characteristics is established.One-dimensional composite wave incidence including fundamental and harmonic waves is introduced,the expressions of reflection wave and transmission wave at the interface are derived by the second order perturbation approximation and under the nonlinear boundary condition,and the reflection and transmission coefficients are obtained.By the power-law relationship between the linear stiffness of interface and the contact pressure,four nonlinear parameters are defined.The nonlinear characteristics of solid-solid contact surface and the dependency of the harmonic waves on the contact pressure are analyzed by numerical calculation.