考虑不确定性的船舶坐墩配墩优化

Optimization for block placement with uncertainty during ship docking

提出了一个考虑支墩组合刚度不确定性的船舶坐墩支墩配置优化设计的数学模型 .用凸模型法处理支墩组合刚度的不确定性 ,用分级优化方法求解所提出的优化模型 ,并讨论了支墩组合刚度不确定性程度对设计结果的影响 .计算结果表明 ,考虑参数不确定性后 ,配墩方案发生了变化 ,支墩结构质量也有所增加 .增加的支墩材料是用于提高结构物抵抗不确定性参数波动变化的能力 .

In this paper, a mathematical model is proposed for optimizing the block placement during ship docking in consideration of uncertain combined stiffness of blocks. The convex model in which the indeterminacy about the uncertain variables may be expressed in terms of defining some sets to which these uncertain variables belong is employed to describe the uncertainties. A two level optimization technique is used to solve the proposed model that is a nested optimization. The effect of degrees of uncertainties in combined stiffness of blocks on optimal solution is discussed. Numerical results show that uncertainties affect the optimal block placement and lead to increase in blocks′ weights. Increased weights are utilized to increase the resistance of the structure to variation of uncertain variables.