Dynamic equations of a multi-stage isolation system

Under the assumption of small vibrations, from deducing a space body’s kinetic energy, an isolator’s potential energy, damping dissipating energy and substituting into Lagrange’s equation, this paper establishes a multi-stage isolation system’s dynamic equations. A multi-stage isolation system’s dynamic equations can be described in a body’s local coordinates, as well as the system’s global coordinates. This paper proves that the two sets of equations are uniform. An example was calculated by the newly deduced equations and the finite element method. The natural frequencies of the system show that the results produced by the newly deduced equations are exact and accurate.