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The Quarterly Journal of Mechanics and Applied Mathematics 1959 12(4):454-463; doi:10.1093/qjmam/12.4.454
© 1959 by Oxford University Press
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LOW FREQUENCY FLEXURAL VIBRATIONS IN ELASTIC PLATES

V. T. BUCHWALD

( (College of Science and Technology Manchester) )

It is shown in this paper that simple assumptions about the transverse displacement and the shear stresses lead to two equations for flexural vibrations of plates, corresponding to three modes of vibration. The equations obtained are compared with the exact equations for the propagation of plane flexural waves, and it is shown that if the frequency is less than a certain value, correspondence is very good between the two sets of equations. The results are also compared with similar results obtained from Mindlin's equations.


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