The Setting up of the Self-Synchronization Problem of the Dynamic Objects with Internal Degrees of Freedom and Methods of Its Solution

The following sections are included:

• Preliminary Remarks

• Statement of the Problem

• Structure of the Kinetic and Potential Energy of the System. The Generalized Forces

• Integral Criterion (Extreme Property) of the Stability of Synchronous Motions

  • Introduction

  • Systems with almost uniform rotations, non-quasiconservative idealization of rotation

  • Systems with the objects, idealized as quasiconservative

  • Comparison of the results at different types of idealization. Some conclusions

• Method of Direct Separation of Motions. Methods of Small Parameter

• Self-Synchronization of Two Identical Vibro-Exciters with the Internal Degrees of Freedom, Whose Axes Pass through the Center of Gravity of a Solid Body (Plane Motion)

  • Description of the system

  • Synchronization of the system in the absence of inner degrees of freedom of the exciters

  • Equations of motion of the system

  • Stationary solutions and their stability

  • Discussion of the results of the section

• References