深孔弧门三维拓扑优化应用研究

当前拓扑优化在水工闸门中的应用均为二维平面内的拓扑优化设计,未涉及闸门空间拓扑形式的问题。针对此,以某水电站工程深孔弧形钢闸门为例,基于连续体拓扑优化方法中的变密度法进行深孔弧门三维拓扑优化的应用研究,采用有限元软件对拓扑结果进行数值分析,并与工程中常用V型二支臂结构形式进行对比。结果表明采用三维拓扑优化得到的弧形闸门支臂最优拓扑构型为Y型树状结构,且在满足局部稳定要求前提下构建的箱型截面树状支臂结构承载能力满足规范要求。与规范中常用V型支臂结构进行对比分析,结果表明,拓扑优化的树枝状支臂结构整体位移减小15.8%,最大应力减小15%且整体分布更加均匀。三维拓扑优化方法可以应用于深孔弧形闸门的结构优化设计当中。

Application of Topology Optimization Theory toThree-dimensional Design of Deep Orifice Radial Gate

At present, topology optimization of hydraulic gate all involves two-dimensional rather than spatial scale. In view of this, the simple isotropic material with penalization (SIMP) in continuum topology optimization method is adopted to the three-dimensional topology optimization of a deep orifice radial gate. Moreover, the topology result are simulated by finite element software, and are compared with the V-shaped dual-arm structure commonly used in engineering. The optimum topology design for radial gate arms is a tree structure, with the bearing capacity of the box section built under the requirements of local stability meeting specification standards. Comparison with V-shaped structure demonstrates that the tree structure obtained by topology optimization could reduce the holistic displacement by 15.8% and cut the maximum stress by 15% yet more evenly distributed.