弹性圆柱壳的刚度优化设计

Two types of optimization of cylindrical shell on deformation

研究在任意轴对称边界条件下和任意轴对称分布载荷作用下体积保持常数的圆柱壳的两类优化设计问题:极小化圆柱壳的最大挠度和极小化圆柱壳的柔度。采用阶梯折算法,用传递矩阵导出变厚度圆柱壳平衡问题的初参数解的显式表达式,将优化设计转化为极小化目标函数的非线性规划问题,并采用广义简约梯度法进行优化计算。对典型问题的计算表明,该方法能解决受应力、几何等约束的离散变量结构优化设计问题,计算过程具有编制程序方便、收敛快和精度高的优越性,是一种理想的优化设计方法。

It is concerned with the optimal design of cylindrical shell on minimax deflection and minimal compliancy with arbitrary axisymmetrical boundary conditions and radial pressure,under the condition of the volume being constant.The problem involves the minimax deflection and minimal compliancy of the cylindrical shell.Expressions of the objective function can be obtained by the stepped reduction method. Several examples are provided to illustrate the advantages of the optimal design method.