Abstract:

A new free-interface component modal synthesis (CMS) method is developed in this paper based on the Kron’s substructuring. For better precision, the inertia approximation of the residual attachment modes, which depends on the unknown global eigenvalues by definition, is included in the modal transformation matrix while the reduced system eigen-equation is still linear. Moreover, the generalized coordinates are further condensed to reduce the size of the reduced model. Compared with the conventional static-approximated CMS methods, the precision is significantly improved with little additional computational cost. Numerical examples validate the precision and efficiency of the proposed method.

Key words: Structural dynamics, Model reduction, Component modal synthesis, Dynamic substructuring, Kron’s substructuring