VIBRATIONS OF LAMELLAR AND ROD STRUCTURES WITH ENERGY DISSIPATION

Abstract

Oscillations of nonlinear elastic rods and plates with taking into account the hysteresis friction were examined . Nonlinear problem is solved using the method of expansion in the small parameter. To determine the natural frequencies and forms of vibrations was use d the variation- grid approach of Rayleigh type functionals building and it s minimizing by a method of coordinate -wise descent. The problem of forced oscillations is solved by expanding their own forms.