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Topology Optimization of Thermal Structures with Stress Constraints

机译:具有应力约束的热结构的拓扑优化

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It is known in topology optimization, that in the presence of thermal loading, the conventional maximum stiffness design objectives generally do not lead to maximum strength structures due to the design dependency of thermoelastic loads. In this paper we present the application of stress constraints to structural topology optimization problems with thermal loading in an effort to develop a new technique for the design of hot structures where thermal stresses are of primary concern. A modern stress-relaxation technique is employed to circumvent the singularity phenomena in the stress constraints. In addition, we utilize stress aggregation functions to reduce the number of constraints in the optimization problem. We note that pre-existing formulations for thermoelastic topology optimization and stress-constraint handling are employed, but for the first time they are combined to consider thermal stresses. Preliminary numerical results indicate that the stress-constrained problem leads to different designs with superior thermoelastic performance when compared to the minimum compliance problems. In today's aerospace industry, a number of practical examples are evident where the capability developed in this work is desirable. These include the design of engine exhaust-washed structures (EEWS) on embedded engine aircraft and integrated thermal protection systems (TPS) on hypersonic vehicles. In both cases, structural components are subjected to an extreme combined loading environment that is characterized by elevated temperatures and design against thermal stresses is of paramount concern.
机译:在拓扑优化中已知,在存在热载荷的情况下,由于热弹性载荷的设计依赖性,常规的最大刚度设计目标通常不会导致最大强度的结构。在本文中,我们介绍了应力约束在具有热载荷的结构拓扑优化问题中的应用,以努力开发一种新的技术来设计热应力为主要问题的热结构。采用现代应力松弛技术来规避应力约束中的奇异现象。此外,我们利用压力聚集函数来减少优化问题中的约束数量。我们注意到,已采用了用于热弹性拓扑优化和应力约束处理的现有公式,但是第一次将它们组合起来考虑了热应力。初步的数值结果表明,与最小柔量问题相比,应力约束问题导致具有优良热弹性性能的不同设计。在当今的航空航天工业中,许多实际例子很明显,这些方面都需要这项工作中开发的功能。其中包括嵌入式发动机飞机上的发动机排气冲洗结构(EEWS)和高超音速飞机上的集成热保护系统(TPS)的设计。在这两种情况下,结构部件都经受极端组合的负载环境,该环境的特征是温度升高,因此,应对热应力的设计至关重要。

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