A fast algorithm for periodic structures in vibration
Author(s)
Author(s)
Wong, S. C.
Lee, P. K. K.
Date Issued
1991
Publisher
Sage Publications
Journal
International Journal of Space Structures
Volume
6
Issue
3
Start page
241
End page
251
Abstract
Periodic structures are popular in engineering applications for economical and architectural reasons. A fast method for calculating the natural vibration of periodic structures having identical constituents (substructures) with general boundary conditions is introduced. The number of arithmetic counts is proportional to PlogP, instead of P2 in the conventional method with band solver, where P is the number of substructures involved. Because of the fact that the general boundary conditions have been considered, a periodic structure can be represented by its condensed matrices associated with the boundary stations to form a superstructure which can be connected to other structures. Four illustrative examples are given.
SFU Affiliated Publication
No
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