Dynamics and Stability of Engineering Systems with Moving Continua

Abstract

The present chapter is concerned with a special case of dynamics of systems with variable mass, namely the engineering systems with moving continua. A characteristic feature of these systems is that a material enters the system and leaves the system. The material itself is assumed to be deformable and under some conditions the entire system exhibits unstable behaviour in the transverse direction. The intent of the present chapter is to demonstrate that the systems with axially moving material are inherently unstable. Dynamics and stability are known to be strongly related to each other, for this reason the study of dynamics and stability for each engineering system under consideration is carried out in the framework of the same approach. A number of special cases which are important for the mechanical engineering are considered. Some of these belong to the class of problems of fluid-structure interaction, in particular, dynamics and stability of the fluid conveying pipes and the shaft rotating in the oil film plain bearings. The dynamics and stability of the belts and chains are studied in detail, too.