任意の境界条件を考慮した厚肉積層長方形板の振動解析

抄録

An analytical method is presented for the free vibration of thick, laminated composite plates having arbitrary boundary conditions. In the analysis, the laminate theory is used to give the equivalent stiffnesses, and the energy expression is derived taking into consideration transverse shear and rotary inertia of the plate. The displacement functions are introduced in series form with boundary indices so as to accommodate any combination of free, simply supported and clamped edges along four sides. Then, the Ritz method is applied to yield a frequency equation for the problem. In numerical examples, natural frequencies are calculated for specific examples to establish accuracy of the solution by examining convergence and comparison, and the effects of the shear correction factor on the calculated freqencies are studied.