COMPARISON OF NATURAL FREQUENCIES OF LAMINATES BY 3-D THEORY, PART II: CURVED PANELS

A three-dimensional vibration study is presented using the three-dimensional theory developed by Chaoet al. [34–39] for a variety of simply supported shallow spherical, cylindrical, plate, and saddle (hyberbolic) panels in rectangular planform. A complete survey and comparison of existing literature have been made with excellent lowest frequencies via a 3-D augmented energy variational approach. In all of these shell configurations, natural frequencies are noted to decrease in the above-mentioned order according to minimum total potential energy in the natural state.