Abstract
Mechanical contact is an interest in numerous engineering applications ranging from metal forming, nuclear reactors, machine design to soil-structure, and structure-structure interaction under dynamic excitation. The complexity of a contact problem is in three aspects. The first one is the non-linear boundary condition of the contact region. The second aspect is how to describe truly the friction phenomenon on the contact surface. The last aspect is the non-linearities of material behaviors and geometric deformation. The importance of the contact phenomena has brought about extensive research work. The main objective of the present research work is to develop a computational model to simulate the visco-elastic dynamic contact problems. The proposed mathematical model exploits the incremental convex programming in the framework of a finite element model. The main concern of the model is to study the effect of the internal material viscosity on the dynamic characteristics of the system such as rate of decaying and response amplitude. Rayleigh damping model is adopted for simulating the internal material viscosity. Damping exists in most mechanical systems or structures. Damping predominantly controls the dynamic response and attenuation of vibration. Therefore, using an assumption about damping in the analysis is a justified compromise.
Published Version
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