Method for determining the coupling parameters for complex linear systems with discrete couplings between subsystems

Abstract

Complex systems whose subsystems interact at finitely many points are considered. The couplings are given by linear homogeneous differential relations.

The problem of determining the coupling parameters is solved. To this end, the system oscillations are represented as linear combinations of harmonic responses of the subsystems. For each point of coupling, one can construct a system of linear algebraic equations for the parameters (rigidities) of this coupling.

The method is intended for determining the values of rigidities of the couplings between blocks of spacecraft carriers. The analytic model of a simplest structure is carried out as an example.