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基于Reissner-Mindlin一阶剪切变形板理论,讨论在预加面内机械荷载和温度场作用下,无拉力弹性半空间地基上四边自由中厚板在动荷载作用下的动力特性。把地基看作三维弹性半空间体,考虑地基变形衰减,用一组数学上完备的二元多项式作为位形函数,采用pb-2 Rayleigh-Rizt法求得四边自由中厚板的动力响应,并讨论了初应力对板的动挠度和动弯矩的影响。
Based on the Reissner-Mindlin first-order shear deformation plate theory, the dynamic characteristics of free-form plate under the action of dynamic load are discussed under the action of mechanical loading and temperature field in the pre-filled surface. Considering the foundation as a three-dimensional elastic half-space body, consider the deformation of the foundation deformation, using a set of mathematically perfect binary polynomials as the shape function, using the pb-2 Rayleigh-Rizt method to obtain the dynamic response of the free plate The effect of initial stress on the dynamic deflection and dynamic bending moment of the plate is discussed.