An accurate method of dynamic condensation in structural analysis | Zendy

Leung Andrew YeeTak | Zendy

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An accurate method of dynamic condensation in structural analysis

Author(s) -

Leung Andrew YeeTak

Publication year - 1978

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620121108

Subject(s) - substructure , subspace topology , eigenvalues and eigenvectors , sequence (biology) , condensation , dynamic problem , mathematics , frame (networking) , space (punctuation) , mathematical optimization , algorithm , mathematical analysis , computer science , physics , structural engineering , engineering , chemistry , quantum mechanics , thermodynamics , operating system , biochemistry , telecommunications

A new and efficient method of dynamic condensation is presented. It reduces the order of dynamic matrices without intoroducing further approximation by representing the passive co−ordinates in terms of the active ones exactly. The resulting frequency dependent eigenvalue problem is solved by a combined technique of Sturm sequence and subspace iteration. Examples are given for a space frame and a substructure problem. Results are compared to the complete solution.

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