Multi-scale parallel topology optimization design method for missile seeker with thermo-dynamic coupling loads
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摘要:
针对导弹导引头在高温高负载下的结构设计问题，引入多尺度拓扑优化设计方法对导弹导引头进行优化设计，提出了一种在稳态热源情况下热力耦合连续体结构多尺度并行化拓扑优化方法。该方法在宏观尺度上，将热源引入的等效热载荷耦合至力载荷当中，获得符合热力耦合载荷的宏观构型分布；在微观尺度上，通过聚类方法划分微结构类型，提升微结构计算效率和解决宏微观结构尺度分离问题。以结构柔度作为目标函数，材料的体分比为约束，建立了基于固体各向同性材料惩罚模型的多尺度并行拓扑优化模型；采用直接法对热力耦合情况下的灵敏度进行分析计算，运用OC准则法对设计变量进行优化，从而获得有效的热力耦合情况下的宏微观并行拓扑优化模型。利用悬臂梁结构对所提方法进行了验证，结果表明所设计的结构既具有热力耦合工况下的承载能力，也具有一定的热防护的能力。应用该方法对导弹引导头进行结构一体化优化设计，获得了较好的既具有承载性能，又具有隔热性能的引导头结构。两个案例展示了在保证质量减少50%的情况下，依然都获得了理想的优化结构，从而验证了所提方法的正确性与有效性。也为类似热力耦合工况下的结构一体化设计提供了可行方法，具有一定的工程应用意义。
Abstract:In order to solve the structural design problem of missile seeker with high temperature and high loads, a multi-scale topology optimization design method was introduced to optimize the missile seeker. A multi-scale parallel topology optimization method for thermo-mechanical coupled continuum structures under steady-state heat source was proposed. With this method, the equivalent thermal load introduced by heat source was coupled to the force load on the macroscopic scale, and the macroscopic configuration distribution consistent with the thermo-mechanical coupled load was obtained. At the micro scale, the clustering method was used to classify microstructures to improve the computational efficiency and solve the problem of scale separation in macro and micro structures. A multi-scale parallel topology optimization model based on solid isotropic material with penalization model was established with the structural flexibility as the objective function and the volume fraction of materials as the constraint. The sensitivity was analyzed and calculated by the direct method under the thermodynamic coupling condition, and the design variables were optimized by the OC criterion method. Hence, the effective macro- and micro-scales parallel topology optimization model was obtained with thermo-mechanical coupled loads. The proposed method was validated by optimizing a cantilever beam structure and the results showed that the designed structure not only had the load-bearing capacity under thermo-mechanical coupling loads, but also had a certain degree of thermal protection ability. At last, the proposed method was applied for performing the integrated design of the missile seeker structure under the force-thermal coupling condition. A good structure of the missile seeker with both load-bearing performance and thermal insulation performance was designed. The two cases demonstrated that the ideal optimized structures were achieved while ensuring 50% mass reduction. Therefore, this has provided a feasible method for structure integrated design under the force-thermal coupling condition, showing that the present method is rational and valuable in engineering application.
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表 1 悬臂梁结构微结构并行优化结果
Table 1. Parallel optimization results of cantilever beam structure microstructure
体积分数 单胞 3×3微结构 0.272 
0.517 
0.816 
下载: 导出CSV
表 2 导引头结构微结构并行优化结果
Table 2. Parallel optimization results of the microstructure of the fairing structure
体积分数 单胞 3×3微结构 0.196 
0.416 
0.780 
下载: 导出CSV
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