基于混合mmc-aabh +方法的显边界壳级配填充结构快速优化设计

IF 2.6 4区 工程技术 Q2 MECHANICS Journal of Applied Mechanics-Transactions of the Asme Pub Date : 2023-11-08 DOI:10.1115/1.4064035
Yikang Bi, Shaoshuai Li, Yichao Zhu
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引用次数: 0

摘要

摘要本文提出了一种用于壳级配填充结构快速优化设计的混合MMC-AABH +方法。关键思想是正确描述渐变微结构填料和涂层外壳。为此,采用一组可移动的可变形构件来表示涂层外壳的边界,而梯度填充则通过空间变化的正交各向异性多孔结构来体现。在此处理下,在设计变量较少的情况下,可以同时优化涂层外壳和梯度微结构填充体的边界。本研究的其他吸引人的特点总结如下。首先,与其他类似方法相比,该方法可以自动满足微结构填充物的平滑变化;其次,利用拉普拉斯方程的极值原理,在优化过程中对最小特征尺寸进行显式控制。第三,与其他前沿方法相比,本文提出的方法大大降低了计算成本,可以实现涂层结构的近最优设计。通过数值算例进一步验证了该方法的有效性。
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FAST OPTIMAL DESIGN OF SHELL-GRADED-INFILL STRUCTURES WITH EXPLICIT BOUNDARY BY A HYBRID MMC-AABH PLUS APPROACH
Abstract In this study, a hybrid MMC-AABH plus approach is developed for the fast optimal design of shell-graded-infill structures. The key idea is to use a proper description about the graded microstructural infill and the coating shell. To this end, a set of moving morphable components is adopted to represent the boundary of the coating shell, while the graded infill is embodied by spatially varying orthotropic porous configurations. Under such a treatment, with a small number of design variables, both the boundary of the coating shell and the graded microstructure infill can be optimized simultaneously. Other attractive features of the present study are summarized as follows. Firstly, the smooth variation across the microstructural infill can be automatically satisfied based on the proposed approach compared with other similar method. Secondly, with the use of the extreme value principle of Laplace equation, the minimum feature size can be explicit controlled during the optimization. Thirdly, compared with other methods in the frontier, the approach proposed in the present study enjoys considerable reduction in the computation cost and can obtain near-optimal design of coating structure. The effectiveness of the proposed approach is further demonstrated with numerical examples.
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来源期刊
CiteScore
4.80
自引率
3.80%
发文量
95
审稿时长
5.8 months
期刊介绍: All areas of theoretical and applied mechanics including, but not limited to: Aerodynamics; Aeroelasticity; Biomechanics; Boundary layers; Composite materials; Computational mechanics; Constitutive modeling of materials; Dynamics; Elasticity; Experimental mechanics; Flow and fracture; Heat transport in fluid flows; Hydraulics; Impact; Internal flow; Mechanical properties of materials; Mechanics of shocks; Micromechanics; Nanomechanics; Plasticity; Stress analysis; Structures; Thermodynamics of materials and in flowing fluids; Thermo-mechanics; Turbulence; Vibration; Wave propagation
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