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Shock and Vibration
Volume 1 (1994), Issue 5, Pages 461-471

Structural Synthesis in the Frequency Domain: A General Formulation

Joshua H. Gordis

Department of Mechanical Engineering, U.S. Naval Postgraduate School, Monterey, CA 93943-5100, USA

Received 21 February 1994; Accepted 18 April 1994

Copyright © 1994 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A general formulation for frequency domain structural synthesis is presented. The formulation is based on a physical coordinate transformation of the presynthesis frequency response system model and addresses modification, general coupling, and constraint imposition. Notable features of the formulation includes the ability to directly synthesize response quantities such as displacements, stresses, and strains, and the accommodation of Boolean matrices that organize the connectivity in the synthesis of complex systems. The theory is shown to be a highly efficient and exact means of doing static and complex dynamic reanalysis.