The Effect of Lumped Parameters on Beam Frequencies

Author:

Leckie F. A.,Lindberg G.M.

Abstract

SummaryAn 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.

Publisher

Cambridge University Press (CUP)

Subject

General Engineering

Reference9 articles.

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3. Morris J. and Minhinnick I. T. The Calculation of the Natural Frequencies and Modes of Vibration of Aeroplane Wings. R. & M. 1928, 1940.

4. A CRITICAL EXAMINATION OF THE REPRESENTATION OF MASSIVE AND ELASTIC BODIES BY SYSTEMS OF RIGD MASSES ELASTICALLY CONNECTED

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