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Efficient free vibration analysis of rotationally symmetric shell structures
Author(s) -
Kaveh A.,
Nemati F.
Publication year - 2011
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1318
Subject(s) - vibration , block (permutation group theory) , reduction (mathematics) , shell (structure) , stiffness , mathematics , algorithm , decomposition method (queueing theory) , computer science , mathematical optimization , structural engineering , physics , geometry , engineering , mechanical engineering , discrete mathematics , quantum mechanics
In this paper, an efficient eigensolution is presented for calculating the natural frequencies of the free vibration for rotationally symmetric shell structures. The solution uses the decomposition of a canonical form that often occurs in matrices associated with graph models of these structures. A substructuring method is proposed to avoid generation of the entire matrices. Utilizing the aforementioned method, the stiffness and mass matrices of the structure are generated in an efficient time‐saving manner. The solution for the characteristic equation is then obtained via the block diagonalization of the created canonical form. In order to confirm the efficiency of the solution, examples are solved using both the classic and the presented approaches. Comparison of the required time for the two methods shows a considerable reduction in computational time for the solution using the present method. Copyright © 2009 John Wiley & Sons, Ltd.