[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2011.39.5.703

Dynamic analysis of structures in frequency domain by a new set of Ritz vectors

Aliasghar Arjmandi, S. (Civil Engineering Department Amirkabir University of Technology)
Lotfi, Vahid (Civil Engineering Department Amirkabir University of Technology)

Publication Information

Structural Engineering and Mechanics / v.39, no.5, 2011 , pp. 703-716 More about this Journal

Abstract

The accurate dynamic analysis of structures is usually performed by a fine finite element discretization with very large number of degrees of freedom. Apart from modal analysis, one can reduce the number of final equations by assuming the deformed shape of the structure as a linear combination of independent Ritz vectors. The efficiency of this method relies heavily on the vectors selected. In this paper, a new set of Ritz vectors is proposed. It is primarily proved that these vectors are linearly independent. Subsequently, various two and three-dimensional examples are analyzed based on the proposed method. In each case, the results are compared with the ones obtained based on usual Ritz and modal analysis methods. It is finally concluded that the proposed method is very effective and efficient method for dynamic analysis of structures in frequency domain.

Keywords

Ritz vectors; structural dynamics; frequency domain analysis; DOF reduction methods; linearly independent vectors; convergence of Ritz method;

Citations & Related Records

Times Cited By KSCI : 4 (Citation Analysis)
Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
Cited By KSCI

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