近似模型在非均匀环肋圆柱耐压壳优化中的应用研究

Application of approximation models to optimize the design of the non-uniform ring-frames pressure shell

为提高潜水器耐压壳的稳定性和材料的利用率,该文在圆柱耐压壳设计中引入了非均匀肋骨布置方案,采用不等刚度不等间距分布的肋骨形式。在优化过程中,引入了近似模型技术,提出基于近似模型的非均匀环肋圆柱壳结构优化设计方法,通过试验设计在设计空间内选取样本点,建立近似模型,并以此搭建了近似模型优化策略对环肋圆柱耐压壳进行优化。研究结果表明,对于非均匀环肋圆柱壳采用合理的肋骨布置方案能有效地提高其力学性能及材料利用率;二阶RSM近似模型和RBF近似模型均能合理反映样本空间的样本点,基于近似模型优化方法能以较小的计算量克服优化过程中出现的数值噪声和错误。良好的优化结果表明该优化方法具有广泛的应用前景和空间。

In order to improve the general stability and material utilization of pressure hull, non-uniform rib layout scheme is introduced in the cylindrical pressure hull design with the arrangement of unequal stiff-ness and unequal spaced ribs. In the process of optimization, according to the approximate model theory, the structure optimization design method of non-uniform ring-frames cylindrical shell based on approximate model is set up. Approximate models were established through the sample point selected in the design of experiments. And then, the ring-stiffened cylindrical pressure shell is optimized and analyzed by the way of optimization, which are optimization direct used approximate model. The research results show that rea-sonable arrangement ribs layout scheme for non-uniformly ring stiffened cylindrical pressure hull can effec-tively improve its mechanical and material utilization; the second-order polynomial response surface model （RSM） and the radial basis functions model （RBF） can reasonably reflect the properties of the optimize space. Based on the approximate model optimization method, numerical noise and errors during the process of optimization can be overcome with less computation. The excellent optimization results indicate that the optimization method has wide application prospects and space.