BREATHING VIBRATIONS OF PLANARLY ISOTROPIC SQUARE PLATES

摘要

A thin flat planarly isotropic square plate vibrating in its own plane is studied theoretically. Natural frequency as function: of Poisson's ratio, Young's modulus, density, and plate dimensions is computed for the two lowest “breathing” modes - i.e., modes that are symmetrical about the plate centerlines and plate diagonals. Possible extension of the method of analysis to other modes is briefly indicated and preliminary results are given for one of these modes. A Rayleigh-type correction for finite thickness is given.