Research Article
Dec 1975
Free Vibration Analysis Using Substructuring
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 101, Issue 12
Abstract
The method of substructuring is developed and applied to the solution of free vibration problems for large structural systems. Modifications to the substructure stiffness and mass matrices permit the substructure mode shapes to more accurately conform to the complete system mode shapes. These modifications account for the elastic and inertial effects of the surrounding structure on each substructure. Computational algorithms are described which determine the substructure mode shapes associated with the lowest natural frequencies. These algorithms are based on an iterative scheme with an automatic starting method. The synthesis method for the determination of the system mode shapes from the substructure mode shapes is demonstrated. An example problem is solved and the solution compared to that obtained by a conventional method.
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Published In
Journal of the Structural Division
Volume 101 • Issue 12 • December 1975
Pages: 2627 - 2639
Copyright
© 1975 American Society of Civil Engineers.
History
Published in print: Dec 1975
Published online: Feb 1, 2021
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Authors
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Gordon H. Holze
Sr. Research Engr., Caterpillar Tractor Co., Peoria, Ill.
Arthur P. Boresi, M.ASCE
Prof. of Theoretical and Applied Mechanics, Univ. of Illinois, Urbana, Ill.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.