Dynamic Response of a Coated Half-Plane with Hysteretic Damping Under a Harmonic Hertz Load  

作　　者：Xiaomin Wang Liaoliang Ke Yuesheng Wang 

机构地区：[1]Institute of Engineering Mechanics,Beijing Jiaotong University,Beijing 100044,China [2]School of Mechanical Engineering,Tianjin University,Tianjin 300350,China

出　　处：《Acta Mechanica Solida Sinica》2020年第4期449-463,共15页固体力学学报（英文版）

基　　金：The authors wish to acknowledge the financial support on this study from the National Natural Science Foundation of China(No.11725207).

摘　　要：This paper investigates the dynamic response of a coated half-plane subjected to a harmonic Hertz load on the coating surface.The complex modulus is used to describe the hysteretic damping of the elastic homogeneous coating and half-plane.Using the Helmholtz decomposition and Fourier integral transform technique,we derive the stresses and displacements of the coating and half-plane from Navier5s elasticdynamic equations in the form of complex integrals.Then,the global adaptive quadrature algorithm is exploited to solve the complex integrals numerically.The effects of Young’s modulus ratio,density ratio,coating thickness,loss factor and external excitation frequency are discussed.It is found that the dynamic response of displacements and stresses becomes increasingly oscillatory with the increase in excitation frequency.

关 键 词：Dynamic response COATING Hysteretic damping Harmonic Hertz load 

分 类 号：TU473.1[建筑科学—结构工程]