生长进化拓扑优化算法在油船中剖面结构优化上的运用  

Applying the evolution topology algorithm to the VLCC's mid-section structure optimization

作　　者：刘宏亮[1] 夏利娟[1] 吴嘉蒙[2] 

机构地区：[1]上海交通大学海洋工程国家重点实验室,上海200240 [2]中国船舶及海洋工程设计研究院,上海200011

出　　处：《船舶力学》2017年第4期464-471,共8页Journal of Ship Mechanics

基　　金：国家自然科学基金资助项目(50909060);海洋工程国家重点实验室青年创新基金资助(GKZD010059-20)

摘　　要：单元进化生长拓扑优化算法较之其他拓扑优化算法有其独特之处,文章通过引入单元生长进化算法对VLCC中剖面横撑结构进行优化设计。结合单元应力指标函数及单元权重系数确定优化模型的目标函数,通过计算单元应力确定单元权重系数的迭代递推关系式,结合有限元平衡方程建立优化数学模型,通过解析计算知优化模型目标函数的取值主要取决于体积函数值,依此建立完整的单元生长进化优化流程。通过与ANSYS连续体拓扑优化计算的比较可知单元生长进化算法更加简单高效,对VLCC轻量化设计具有一定的理论参考价值。Evolutionary structural topology optimization shows some specific features compared with other topology optimization algorithms. Which can be applied on the optimization design of the VLCC mid-section cross-brace structure. According to the element＇s stress index and the element weight coefficient, the objective function was established. Then, the iteration equation of the element＇s weight coefficient was created based on the obtained element stress. Finally, combining the FEM＇s balance equation the total optimization mathematical model was created. The mathematical calculation results show that the objective function depends mainly on the model＇s volume function. Compared with the result of the ANSYS continuous structure topology optimization, the calculation with the evolution algorithm is more simple and efficient.This method using in this paper may provide something useful to the VLCC＇s lightweight design.

关 键 词：单元生长进化算法 拓扑优化 应力指标函数 VLCC中剖面优化 

分 类 号：U662[交通运输工程—船舶及航道工程]