NON-LINEAR INTEGRATED EQUATIONS IN DYNAMIC PROBLEMS OF ELASTICITY THEORY

Abstract

Non-linear waves of deformation in deformed solid bodies are investigated in the paper aiming at the derivation and analysis of non-linear integrated equations in dynamic problems of elasticity theory, applications of theory of solitons to the solution of dynamic problems. As a result evolution of non-linear waves of deformation in elastic and non-linear-elastic isotropic and orthotropic cylindrical shells and bars has been investigated. The stability criterion for deformed systems, described by soliton equations, has been suggested. Problems of static and dynamic stabilities of a thin bar have been solved. Speeds of longitudinal and bending solitons of deformation have been determinedAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio