Planar Vibrations of Massive Vibro-Insulated Bodies Upon Arbitrary Displacement of the Base

Abstract

The solutions of the equations of planar vibrations of massive bodies upon arbitrary timevarying horizontal displacement of the base are constructed using transfer functions (TF) and impulse response functions (ITF) of linear dynamic systems. This approach makes it possible to obtain the closed-form solutions with harmonic and free vibrations and to construct stable algorithms for calculating systems arbitrary displacement of the base. The solutions are written in the form of an expansion in 'normal forms' directly in generalized coordinates. An example of a calculation is presented for the response and operating regimes of the vibrations due to an instantaneously applied harmonic perturbation.