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Parameter effect analysis of local failure modes for fail-safe topology optimization[J].计算力学学报,2019,36(3):317~323

Parameter effect analysis of local failure modes for fail-safe topology optimization
Parameter effect analysis of local failure modes for fail-safe topology optimization

DOI：10.7511/jslx20180201001

 作者 单位 E-mail 彭细荣 湖南城市学院 土木工程学院, 益阳 413000 pxr568@163.com 隋允康 北京工业大学 工程数值模拟中心, 北京 100022

针对连续体结构，考虑破损-安全拓扑优化中如何处理结构局部破损的关键问题，以位移约束下结构体积极小化拓扑优化问题为例，基于独立连续映射ICM方法，建立了优化模型，给出了求解方法。以单荷载及多荷载工况的数值算例为例，探讨了结构局部破损模式的形状和大小及结构局部破损状况预估分布等对最优结构拓扑的影响。结果表明，（1）相比于不考虑破损-安全的结构拓扑优化，考虑破损-安全得到的最优拓扑具有更多冗余构件及传力路径；（2）不同形状及大小的结构局部破损模式会得到不同的最优结构拓扑；（3）结构局部破损模式布置间距越小，得到的最优拓扑越趋复杂。故在进行考虑破损-安全拓扑优化设计时，宜依据工程问题，合理定义结构局部破损模式的形状和大小及结构局部破损状况的预估分布等，以准确模拟实际结构的局部破损，得到具有适度冗余的最优拓扑。

For the fail-safe topology optimization of continuum structures,aiming at the key problem of handling handle the local failure of a structure,a topology optimization model considering fail-safe is established and solved based on the independent continuous and mapping (ICM) method.The topology optimization problem minimizing structural volume with displacement constraints is taken as an example.The effects of the shape and size of the local failure mode and the pre-estimation distribution of structural failure cases on the optimal structure topology are discussed.Numerical examples with single-load cases and multiple-load cases are given.The following conclusions can be obtained.(1) Compared with the topology optimization without fail-safe,optimal topologies obtained by the fail-safe topology optimization have more redundant components and more paths transferring forces.(2) Optimal topologies are different while the shape and size of the local failure mode of structures changes.(3) optimal topology is more complex while the space between neighboring distributed failure modes decreases.Therefore,it is appropriate to define a reasonable shape and size of the failure mode and the pre-estimation distribution of structural failure cases based on engineering topology optimization problems considering the fail-safe design principle.The local structural failure should be simulated accurately to obtain the optimal topological with moderate redundancy.