Method of multi-domain topology optimization for continuum structures
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摘要: 针对大变形非线性结构拓扑优化问题,提出了基于混合细胞自动机(HCA, Hybrid Cellular Automata)多空间域连续体结构拓扑优化方法;采用密度法,建立了单元相对密度表示的材料弹-塑性模型;以单元相对密度和应变能作为细胞自动机(CA,Cellular Automata)的状态信息,利用CA局部控制规则,修改相对密度,迭代实现各设计空间域应变能均匀分布;设计了多空间域拓扑优化HCA算法,采取多个对象同时耦合优化迭代,各自收敛策略,解决了多空间域优化迭代算法收敛稳定性问题;最后,以汽车保险杆结构横梁和支撑等两个设计空间为例,施加大变形动态载荷作用,对提出的多空间结构优化算法进行了验证,优化后结构有效地降低了碰撞作用力峰值达54％,提高了结构安全性.Abstract: To solve the problem of continuum-based structural topology optimization under large deformation loading, the hybrid cellular automata (HCA) paradigm for multi-domain topology optimization technique was proposed, a relative density-based material parameterization was developed to model both elastic and plastic material behavior. The state of each cellular automata (CA) was defined by the density and strain energy density, and the uniform strain energy distribution of each design domain was realized by modification the relative density in accordance with CA local control rules. The multi-domain optimization HCA algorithm and convergence strategies were also discussed, these strategies include the simultaneous design of multiple, coupled components and converged individually. An example of bumper structure was presented to demonstrate the results of the multi-domain HCA algorithm, the bumper generated by the HCA algorithm for reduce the peak of reaction force 54% at a suitable sacrifice of stiffness.
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Key words:
- structure design /
- topology optimization /
- convergence /
- multi-domain optimization
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