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The Effect of Lumped Parameters on Beam Frequencies

Published online by Cambridge University Press:  07 June 2016

F. A. Leckie and
G.M. Lindberg
F. A. Leckie
Affiliation:
Engineering Department, University of Cambridge
G.M. Lindberg
Affiliation:
Engineering Department, University of Cambridge
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Summary

An investigation has been made into the errors involved in using certain lumped parameter methods for the solution of beam frequencies. It is found that existing methods are not consistent for all boundary conditions. A new dynamic stiffness matrix has been formulated, which gives consistently good results for even a few elements. The error in the solution is always inversely proportional to the fourth power of the number of elements used.

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Type
Research Article
Information
Aeronautical Quarterly , Volume 14 , Issue 3 , August 1963, pp. 224 - 240
Copyright
Copyright © Royal Aeronautical Society. 1963

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References

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