Vibrations of a pendulum consisting of a bob suspended from a wire: the method of integral equations
Author:
Abstract
The vibrations of a vertical pendulum consisting of a bob suspended from a wire are studied by the method of integral equations and the composite method, respectively. The composite method combines the minimum principles and the method of integral equations. This problem consists of the fourth-order differential equation and the boundary conditions dependent on the eigenvalue parameter. Lower bounds are established for the lowest natural frequencies by both methods. Numerical results are presented. Both theoretical and computational efficiencies are illustrated and the method of integral equations is stressed.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics
Link
http://www.ams.org/qam/1981-39-01/S0033-569X-1981-0613954-4/S0033-569X-1981-0613954-4.pdf
Reference14 articles.
1. On the realization of the eigenvalues of integral equations whose kernels are entire or meromorphic in the eigenvalue parameter;Goodwin, Bruce E.;SIAM J. Appl. Math.,1966
2. Vibrations of a uniform, rotating beam with tip mass;Handelman, George,1958
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