The identify spectrum-time description of movements in lumped and distributed dynamic systems

Abstract

The dynamic systems with many degrees of freedom represent special interest iu the various areas of physics, acoustics, electronics, electrodynamics, automatics, biology and their numerous applications. At present, the theory of linear dynamic systems has a quite completed form, however, the theory of nonlinear multifrequency structures is far from being complete. In particular, wide use of asymptotic methods for similar kind objects research, has resulted in loss of the whole world of the possible decisions for a long term world, so called dynamic chaos. The purpose of the present paper consists in the establishment and proof of the equations of movement of these two classes of dynamic systems coincide both in form and in essence, under some additional requirement, which, besides, all physically practicable systems satisfy.