正交异性对边简支对边自由扁壳大挠度问题的解析解

An Analytic Solution to Large Deflection Displacement of Orthotropic Shallow Shells with Simply-Supported at Diagonal Sides and Free at Other Ones

获得两对边简支另两对边自由的正交异性扁壳大挠度问题的纳维叶解是困难的 ,其困难在于要找到满足全部边界条件的试函数 ,要处理非线性项和要解决各项函数的同一化问题 对这 3个问题进行了深入分析和研究 ,建立了有效的解法 。

There are three difficult problems in solving a large deflection displacement of orthotropic shallow shells with such boundary conditions as simply supported at some diagonal sides and free at other diagonal sides. They are:finding test functions that satisfy all the boundary conditions;treating non linear term of differential equations;making functions of every term density. An analysis and research about these problems is made and an effective solution is presented in this paper.Some ideal results are obtained by applying this method.