Structural synthesis in the frequency domain: a general formulation

Abstract

Fundamental issues in frequency domain structural synthesis are addressed. This work develops a general formulation encompassing all prior contributions to the theory, including the ability to directly synthesize displacements, stresses, and strains. The theory is shown to be a highly efficient and exact means of doing static and dynamic structural re-analysis, a capability resulting from the unrestricted model reduction available in frequency domain structural models. The formulation is based on a physical coordinate transformation of the pre-synthesis frequency response function system model and addresses modification, coupling with and without interconnection impedances, and constraint imposition. Additionally, the theory is reformulated to accommodate boolean matrices which organize the connectivity in the synthesis of complex systems.