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

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.

Keywords

• плита
• собственные частоты
• изгибные колебания
• утончен- ная центральная область
• прикрепленная распределенная масса