Dynamic characteristics and efficiency of vibration protection systems

Abstract

We consider an arbitrary mechanical system which is subjected to dynamic forces and kinematic excitations, see Fig. 1.1. Time-varying prescribed forces are applied at points B ₁,..., B _k and are termed the force excitations. Their projections onto the coordinates axes, F ₁ (t),..., F _3k (t),form a 3 _k —dimensional vector F (t). Kinematic excitations imply the given time-dependent displacements of some points A₁,...,A _s . Projections of these displacements onto the coordinate axes are the components of 3s—dimensional vector ξ(t). A vibration field of displacement is said to be observed in the system when the displacement of the system, due to dynamic excitations, is of an oscillatory nature. Clearly, vibration fields of velocity, acceleration, forces, stresses etc. are also observed in the system.