On Indirect Excitation of Lateral Vibrations of the Table of the Electrodynamic Stand Suspended on Viscoelastic Shock Absorbers

Abstract

Modern machines and aerospace facilities are equipped with rather complex, multi-link high-level vibration protection systems. Therefore, it is of interest to carry out work on the formation of dynamic models of vibration-protective properties of the apparatus, taking into account the properties of their real design features. The plane-parallel motion of a viscoelastic suspended rigid body with an axis of symmetry and imitating the motion of the table of an electrodynamic stand is considered. In the calculated dynamic scheme, the action of the suspension membranes and the hanging shock absorber is represented as the action of some linear springs. It is assumed that a periodic perturbing force (the action of a pulsating magnetic field) directed vertically is applied at the body’s center of gravity. Nonlinear integro-differential equations of motion are compiled, in expansions of trigonometric functions and power series, only small second2 ^nd order are kept. The method of averaging is used to reduce to normal coordinates. The conditions for indirect excitation of axial lateral vibrations (torsional vibrations about the horizontal axis) under the stability of the parametric resonance of the vertical are obtained. Formulas providing the suspendet object are obtained.