Li Zihao, Li Shiqiang, Wang Zhihua
Institute of Applied Mechanics, College of Aeronautics and Astronautics, Taiyuan University of Technology, Taiyuan 030024, China.
State Key Laboratory of Explosion Science and Safety Protection, Beijing Institute of Technology, Beijing 100081, China.
Materials (Basel). 2024 Dec 12;17(24):6086. doi: 10.3390/ma17246086.
Based on the basic theoretical framework of the Bi-directional Evolutionary Structural Optimization method (BESO) and the Solid Isotropic Material with Penalization method (SIMP), this paper presents a multiscale topology optimization method for concurrently optimizing the sandwich structure at the macro level and the core layer at the micro level. The types of optimizations are divided into macro and micro concurrent topology optimization (MM), macro and micro gradient concurrent topology optimization (MMG), and macro and micro layered gradient concurrent topology optimization (MMLG). In order to compare the multiscale optimization method with the traditional macroscopic optimization method, the sandwich simply supported beam is illustrated as a numerical example to demonstrate the functionalities and superiorities of the proposed method. Moreover, several samples are printed through micro-nano 3D printing technology, and then the static three-point bending experiments and the numerical simulations are carried out. The mechanical properties of the optimized structures in terms of deformation modes, load-bearing capacity, and energy absorption characteristics are compared and analyzed in detail. Finally, the multiscale optimization methods are extended to the design of 2D sandwich cantilever beams and 3D sandwich fully clamped beams.
基于双向进化结构优化方法（BESO）和带惩罚的实体各向同性材料方法（SIMP）的基本理论框架，本文提出了一种多尺度拓扑优化方法，用于同时在宏观层面优化夹层结构和在微观层面优化芯层。优化类型分为宏观与微观并发拓扑优化（MM）、宏观与微观梯度并发拓扑优化（MMG）以及宏观与微观分层梯度并发拓扑优化（MMLG）。为了将多尺度优化方法与传统宏观优化方法进行比较，以夹层简支梁为例进行数值算例，以展示所提方法的功能和优势。此外，通过微纳3D打印技术打印了几个样本，然后进行了静态三点弯曲实验和数值模拟。详细比较和分析了优化结构在变形模式、承载能力和能量吸收特性方面的力学性能。最后，将多尺度优化方法扩展到二维夹层悬臂梁和三维夹层全固支梁的设计中。
