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A pinned-pinned beam with and without a distributed foundation: A simple exact relationship between their eigenvalues

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conference contribution
posted on 2019-08-16, 12:57 authored by William P. Howson, Andrew WatsonAndrew Watson
The body of this paper considers a pinned-pinned Bernoulli-Euler beam, from which the core natural frequencies and critical buckling loads corresponding to in-plane flexure, can be determined easily. The theory is then developed to yield an exact relationship between the static axial load in the beam and the frequency of vibration. This enables the core eigenvalues to be related exactly to their counterparts when the beam is additionally supported on a two parameter elastic foundation.The relationship is simple, exact and obviates the complex problems involved in solving the foundation problem using more traditional techniques. A number of illustrative problems are solved to confirm the accuracy and efficacy of the approach.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Aeronautical and Automotive Engineering

Published in

Proceedings of the 12th International Symposium on Vibrations of Continuous Systems

Pages

107 - 110

Source

12th International Symposium on Vibrations of Continuous Systems (ISVCS)

Publisher

International Symposium on Vibrations of Continuous Systems (ISVCS)

Version

  • AM (Accepted Manuscript)

Publication date

2019

Publisher version

Language

  • en

Location

Corvara, Italy

Event dates

28th July 2019 - 2nd August 2019

Depositor

Dr Andrew Watson

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