The interaction of a vibrating punch with a prestressed half-space (Q1316733)

A method of studying the dynamics of a rigid punch vibrating on the surface of a prestressed half-space is developed by generalizing the method of factorization for integral equations. The investigation is carried out within the framework of a linearized theory of the superposition of small deformations on a finite deformation. An approximate solution is constructed for the problem of the vibrations of a strip-like punch. The vibrations at the edges of the punch caused by the excitation of longitudinal and transverse waves are demonstrated.