NATURAL VIBRATYIONS OF A CIRCULAR PLATE HAVING A THINNED CENTRAL PORTION AND ATTACHED DISTRIBUTED MASS

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Abstract


The paper considers flexural vibrations of a circular plate with a central round portion of lesser thickness and attached distributed mass. The equation is used that determines the shape of axisymmetric flexural vibrations in a plate with uniform thickness. It has been found that the lower wave numbers are reduced as the thickness of the central portion in the plate de- creases and the magnitude of the attached distributed mass grows. Using three natural fre- quencies of flexural vibrations, it is possible to determine the radius, the thickness of the thinned central portion in the plate and the magnitude of the attached distributed mass.

A G Khakimov

Institute of Mechanics named after R.R. Mavlyutov, Ufa Scientific Center of Russian Academia of Science, Ufa

Email: hakimov@anrb.ru

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