【摘要】 研究了夹层矩形板的非线性动力屈曲问题 ,基于Reissner假设和Hamilton原理下的夹层矩形板的非线性运动控制方程 ,应用伽辽金方法和双参数摄动法确定四边简支夹层矩形板在纵向简谐载荷作用下的非线性动力不稳定区的边界 ,并对影响动力稳定性的若干因素进行探讨 .更多还原

【Abstract】 Nonlinear dynamic buckling of rectangular sandwich plates under in plane harmonic load is analyzed. Based on Reissner’s and Hamilton’s principle, the governing motion equation for geometrically nonlinearity of the plate is derived. By using Galerkin technique and double parameters perturbation method, the boundary of the principle instability region of simply supported plate is determined. The effects of geometrical and physical parameters on the dynamic stability are discussed.更多还原