Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The transverse vibration of a rotating beam with tip mass: The method of integral equations

Author: Louise H. Jones
Journal: Quart. Appl. Math. 33 (1975), 193-203
DOI: https://doi.org/10.1090/qam/99665
MathSciNet review: QAM99665
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Abstract | References | Additional Information

Abstract: An integral equation method is used to obtain improvable lower bounds for the second eigenvalue of the second-order ``reduced'' problem obtained from the problem described in the title by singular perturbation methods. These lower bounds are compared with results obtained directly by invariant embedding. The computational aspects of the integral equation method are stressed. The method is shown to be quite general and can be applied to a variety of boundary-value problems including those in which the eigenvalue parameter appears in the boundary conditions as well as in the differential operator.

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Additional Information

DOI: https://doi.org/10.1090/qam/99665
Article copyright: © Copyright 1975 American Mathematical Society

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