基于能量均匀化的高剪切强度周期性点阵结构拓扑优化

发布时间：2018-07-13 13:55

【摘要】：传统多孔结构构型型式单一、缺乏科学设计方法的指导,为了从拓扑构型角度设计抗剪切性能更优的周期性点阵结构,基于拓扑优化技术,以周期性单胞为研究对象,以其切变模量最大为目标,以结构的材料用量和力学控制方程为约束条件,利用能量均匀化方法建立基于宏观力学性能的细观点阵结构的优化模型,通过改进的优化算法求解模型,得到了一种宏观上的拓扑边界清晰的周期性点阵结构。然后根据优化结果,在考虑胞元非等壁厚和横向剪切变形影响条件下进行等效材料力学性能分析,得到剪切性能关于微结构胞元几何参数的表征,同时加工制造了优化得到的周期性点阵结构,并进行了剪切力学性能测试。从理论分析和性能试验两个方面与六边形蜂窝结构相应的切变模量进行对比,结果表明,经优化得到的周期性点阵结构切变模量有大幅提升、抗剪切性能更优越。验证了所提出方法能有效地应用于周期性点阵结构抗剪切性能的优化设计。
[Abstract]:In order to design periodic lattice structures with better shear resistance from the point of view of topological configuration, the traditional porous structure is simple and lacks the guidance of scientific design method. Based on topology optimization technology, periodic unit cells are taken as the research object. Aiming at the maximum shear modulus and taking the material content and mechanical control equation of the structure as the constraint conditions, the optimization model of meso-lattice structure based on macroscopic mechanical properties is established by energy homogenization method. By using the improved optimization algorithm to solve the model, a periodic lattice structure with clear topological boundary is obtained. Then according to the optimization results, the mechanical properties of the equivalent materials are analyzed under the condition of cell non-equal wall thickness and transverse shear deformation, and the properties of the shear properties about the geometric parameters of the microstructural cells are obtained. At the same time, the optimized periodic lattice structure was fabricated and the shear mechanical properties were tested. The theoretical analysis and performance test are compared with the corresponding shear modulus of hexagonal honeycomb structure. The results show that the optimized shear modulus of periodic lattice structure is greatly improved and the shear resistance is better. It is verified that the proposed method can be effectively applied to the optimal design of shear resistance of periodic lattice structures.
【作者单位】：三峡大学机械与动力学院;三峡大学水电机械设备设计与维护湖北省重点实验室;悉尼科技大学电机机械和机械电子系统工程学院;
【基金】：国家自然科学基金(51105229,51475265) 湖北省杰出青年基金(2013CFA022) 湖北省科技支撑计划对外科技合作(2015BHE026) 湖北省教育厅科学研究计划(D20161205)资助项目
【分类号】：TB383.4

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