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Fail-safe topology optimization generating reasonable redundant structure for safety and effect analysis of local failure modes

DOI：

 作者 单位 E-mail 彭细荣 湖南城市学院 pxr568@163.com

针对连续体结构考虑安全－失效的拓扑优化问题中的关键问题——如何处理结构的局部失效，本文以位移约束下结构体积极小化拓扑优化问题为例，基于拓扑优化ICM方法，建立了连续体结构失效－安全拓扑优化模型，给出了求解方法。在此基础上，探讨了结构局部失效模式的形状及大小、结构局部失效状况预估分布等对最优结构拓扑的影响，给出了单荷载及多荷载工况的数值算例，结果表明：(1) 在相同约束条件下，相比于不考虑失效-安全的结构拓扑优化，考虑失效－安全的拓扑优化得到的最优拓扑更复杂，所用材料更多，由此具有更多冗余构件及传力路径，从而具有更高的安全度；(2) 一定结构局部失效模式下，结构局部失效模式布置间距越小，得到的最优拓扑趋于复杂；(3) 不同形状及大小的结构局部失效模式，会得到不同的最优结构拓扑。故此，在进行连续体结构失效－安全拓扑优化设计时，宜依据工程问题，合理定义结构局部失效模式的形状及大小、结构局部失效状况的预估分布等，尽量准确模拟实际的结构局部失效，以得到具有适度冗余的最优拓扑构型。

For the fail-safe topology optimization of continuum structures, aiming at the key problem to handle the local failure of the structure, a topology optimization model considering fail-safe is established and solved based on the ICM (independent continuous and mapping) method. The topology optimization problem minimizing structural volume with displacement constraints is taken for example. On this basis, the influences 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 cased and multiple load cases are given. Following conclusion can be obtained. (1) Under the same constraints, compared with the structural topology optimization without fail-safe, the optimal topology obtained by the fail-safe topology optimization is more complex, uses more materials, has more redundant components and more paths transferring force., thus, is more safe. (2) With a specified shape and size of the local failure mode, the smaller the space between neighbor distributed failure mode s is, the more complex the optimal topology is. (3) Different optimal topologies are obtained with different shape and size of the local failure mode of structures. 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.
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