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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。
Bending and vibration of free rectangular plates on four sides of a two-parameter elastic foundation have always been the common concerns of academia and engineering, but so far they have not been satisfactorily solved. The difficulty of solving this problem is due to the complexity of the ground-based model and, on the other hand, the free boundary conditions of the four sides of the rectangular plate. The actual engineering board inevitably encounter non-uniform foundation and by pre-filled surface mechanical load and pre-heating temperature field in the theoretical calculation and analysis, considering the impact of these three factors will have a great project The guiding significance. In this paper, based on Re issner-indmin shear deformation plate theory, the bending and transverse vibration problems of four-sided free-form and medium-thickness rectangular plate on inhomogeneous two-parameter foundation under mechanical loading and pre-heating temperature field are discussed .