生长进化拓扑优化算法在油船中剖面结构优化上的运用

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。

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

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-sec-tion 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 cre-ated based on the obtained element stress. Finally, combining the FEM's balance equation the total opti-mization mathematical model was created. The mathematical calculation results show that the objective func-tion 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.