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基于Reddy高阶剪切变形板理论及由Shen导得的广义Karman型方程,用双重Fourier级数展开法求得弹性基础上四边简支对称正交铺设和反对称斜交铺设层合剪切板在预加面内荷载作用下的自由振动及在横向动荷载共同作用下动力响应的解析解,并讨论了基础弹性常数和预加面内荷载对固有频率及动力响应的影响。
Based on the theory of Reddy high-order shear deformation plate and the generalized Karman-type equation derived from Shen, a double-Fourier series expansion method was used to calculate the elastic symmetry of four-sided simply supported symmetrical orthogonal and anti-symmetrical obliquely laid laminated shear plates The free vibration under the pre-additive in-plane and the analytical solution of the dynamic response under the combined lateral dynamic loading are discussed. The effects of the base elastic constant and the pre-in-plane load on the natural frequency and the dynamic response are also discussed.