Continuous Dynamic Model for Tapered Beam‐Like Structures
Publication: Journal of Aerospace Engineering
Volume 7, Issue 4
Abstract
Distributed parameter modeling may offer a viable alternative to the finite‐element approach for modeling large flexible space structures. In addition, the introduction of the transfer matrix method to the continuum modeling process provides a very useful tool to facilitate the distributed parameter model applied to more complex configurations. This paper proposes a piecewise continuous Timoshenko beam model, which was used for the dynamic analysis of a tapered beam‐like structure. Instead of the arbitrarily assumed shape functions used in a finite‐element analysis, the closed‐form solution of the Timoshenko beam equation was used. Application of the transfer matrix method was used to relate all elements as a whole. Using the corresponding boundary conditions and compatibility equations, a characteristic equation for the global tapered beam was produced and natural frequencies derived. The results from this analysis were compared to those obtained from a conventional finite‐element analysis. While comparable results are obtained, the piecewise continuous Timoshenko beam model significantly decreased the number of modal elements required.
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Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 7 • Issue 4 • October 1994
Pages: 435 - 445
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jun 28, 1993
Published online: Oct 1, 1994
Published in print: Oct 1994
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