Simple Formulae for Calculating the Vibrational Frequencies of Plates, Shells and Membranes.

Simple approximate formulae for estimating the vibrational frequencies of plates, shells and membranes are presented. These formulae take the general form F AW sub max where F is a frequency parameter, A is a numerical parameter having a constant value for many different problems, and W sub max is the maximum deflection of an associated static deflection problem. The approach is particularly simple and the agreement between the frequencies calculated using the approximate formulae and those calculated using standard vibration analyses is excellent. Author