Dynamics of complex systems consist of deformable bodies in contact - the new approach

Abstract

This paper presents the new approach for solving the non-linear dynamics of complex mechanical systems, which contains two or more deformable bodies in contact. The developing of presented approach is motivated by problems of solving the vibrations and noise generated by real complex mechanical systems. The analyzed problem is characterized with continuous changes of contact areas' geometry, friction, load distribution and other parameters. Therefore, the problem of non-linear dynamics of mechanical systems with contact pairs becomes very complex. The wide experience in different real problems of analyzed type and experimental verification of the obtained results were the basis for new approach and procedure developing. The comprehensive and unique procedure for solving the dynamics of mechanical systems with deformable bodies in contact presented with appropriate algorithm gives the simplified framework for analysis of all mechanical systems of this type. However, a very high level of comprehensions of real mechanical problems is required for successfully application of the described approach. Also, the high knowledge about different analytical and numerical methods for solving the tasks included in the particular procedure is necessary.