非均匀弹性地基上四边自由矩形中厚板的弯曲及振动

The bending and vibrating of moderately thick rectangle plate with four free edges on the heterogeneous dual parameter foundation

双参数弹性地基上四边自由矩形板的弯曲与振动一直是学术界和工程界共同关注的问题,但至今没有得到满意的解决。求解该问题的困难,一方面是由于地基模型的复杂性,另一方面源于矩形板的四边自由边界条件。实际工程中的板不可避免地遇到非均匀的地基以及受到预加面内机械荷载和预加温度场的作用,在理论计算分析中,考虑这三方面因素的影响对工程实际会有很大的指导意义。本文基于Re issner-M ind lin一阶剪切变形板理论,讨论在预加面内机械荷载和预加温度场作用下,非均匀双参数地基上四边自由中厚矩形板的弯曲与横向振动问题。

The bending and vibrating of rectangle plates with four free edges on the dual parameter foundation were always studied by scholar and engineer being without satisfied solution. The difficulty to solve above problem includes complex of foundation and boundary of rectangle plates with four free edges. During the solving process to actual plates,it is important to consider heterogeneous foundation and preloading caused by machine in plane and temperature field. In this paper,basing on Reissner-Mindlin theo~ of plate with single order shear deformation,the bending and vibrating of moderately thick rectangle plate with four free edges on the heterogeneous dual parameter foundation were discussed, while considering the preloading caused by machine in plane and temperature field.