Quinteros Leonel, Meruane Viviana, Lenz Cardoso Eduardo, Ruiz Rafael O
Department of Mechanical Engineering, Universidad de Chile, Av. Beauchef 851, Santiago 8370456, Chile.
Millennium Nucleus on Smart Soft Mechanical Materials, Av. Beauchef 851, Santiago 8370456, Chile.
Materials (Basel). 2021 Sep 11;14(18):5236. doi: 10.3390/ma14185236.
The development of custom cellular materials has been driven by recent advances in additive manufacturing and structural topological optimization. These contemporary materials with complex topologies have better structural efficiency than traditional materials. Particularly, truss-like cellular structures exhibit considerable potential for application in lightweight structures owing to their excellent strength-to-mass ratio. Along with being light, these materials can exhibit unprecedented vibration properties, such as the phononic bandgap, which prohibits the propagation of mechanical waves over certain frequency ranges. Consequently, they have been extensively investigated over the last few years, being the cores for sandwich panels among the most important potential applications of lattice-based cellular structures. This study aims to develop a methodology for optimizing the topology of sandwich panels using cellular truss cores for bandgap maximization. In particular, a methodology is developed for designing lightweight composite panels with vibration absorption properties, which would bring significant benefits in applications such as satellites, spacecraft, aircraft, ships, automobiles, etc. The phononic bandgap of a periodic sandwich structure with a square core topology is maximized by varying the material and the geometrical properties of the core under different configurations. The proposed optimization methodology considers smooth approximations of the objective function to avoid non-differentiability problems and implements an optimization approach based on the globally convergent method of moving asymptotes. The results show that it is feasible to design a sandwich panel using a cellular core with large phononic bandgaps.
定制细胞材料的发展受到增材制造和结构拓扑优化方面近期进展的推动。这些具有复杂拓扑结构的现代材料比传统材料具有更高的结构效率。特别是，桁架状细胞结构因其出色的强度质量比而在轻质结构应用中展现出巨大潜力。除了重量轻之外，这些材料还能展现出前所未有的振动特性，比如声子带隙，它能阻止机械波在特定频率范围内传播。因此，在过去几年里它们受到了广泛研究，作为夹芯板的芯材是基于晶格的细胞结构最重要的潜在应用之一。本研究旨在开发一种方法，用于优化使用细胞桁架芯的夹芯板拓扑结构以实现带隙最大化。具体而言，开发了一种用于设计具有吸振特性的轻质复合板的方法，这将在卫星、航天器、飞机、船舶、汽车等应用中带来显著益处。通过在不同配置下改变芯材的材料和几何特性，使具有方形芯拓扑的周期性夹芯结构的声子带隙最大化。所提出的优化方法考虑了目标函数的光滑近似以避免不可微问题，并基于移动渐近线的全局收敛方法实现了一种优化方法。结果表明，使用具有大声子带隙的细胞芯设计夹芯板是可行的。
