The Adaptation of Kron’s Method for Use With Large Finite-Element Models

Abstract

Kron’s method of dynamic substructure coupling is modified and extended to a form which is well suited for use with large finite-element substructure models. It is shown how both mass condensation and modal truncation can be applied at the substructure level in a manner compatible with the Kron coupling procedure. Either master or slave freedoms may be used as coupling coordinates in the system model, thereby allowing complete flexibility at the substructure analysis stage and in particular, allowing the use of automatic master selection procedures. Substructures may be coupled either directly or through a flexible interlayer. System damping may thus be represented in a fairly general way with each substructure having its own (uniform) damping level but with the further provision of additional damping at the joining surfaces between substructures. The theory is illustrated by examples with simple mass-spring systems.