Fundamental frequency of clamped plates with circularly periodic boundaries

Authors

Huseyin Yuce, CUNY New York City College of TechnologyFollow
Chang Y. Wang, Michigan State UniversityFollow

Document Type

Article

Publication Date

1-2007

Abstract

A boundary perturbation method is developed to determine the fundamental frequency of vibrating plates. The method is then applied to wavy, star shape and polygonal plates with clamped boundary conditions. Approximate analytical solutions of the fundamental frequency are obtained with an accuracy of O(e^4), where e is the deviation from the unit circle.

Comments

This work was originally published in Journal of sound and vibration.