增材制造BCCZ点阵夹芯梁结构的自由振动分析

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (1) : 318-325.

论文

张武昆1,2，谭永华3，高玉闪1,2，王珺1,2，赵剑1,耿小亮4

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Free vibration analysis of BCCZ lattice sandwich beam structure manufactured with additives

ZHANG Wukun1,2, TAN Yonghua3, GAO Yushan1,2, WANG Jun1,2, ZHAO Jian1, GENG Xiaoliang4

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摘要

通过理论、有限元和试验方法研究了悬臂边界条件下BCCZ(体心立方点阵边界添加Z向杆件增强构型)点阵夹芯梁结构的振动行为。基于哈密顿原理和“改进折线”法，获得其振动频率理论模型。并使用SLM(选择性激光熔融)技术和钛合金TC4材料制备了BCCZ点阵夹芯梁试件，进行了模态试验，有限元和试验验证了理论模型的准确性。然后研究了胞元直径、面板厚度和芯子高度等结构几何参数和材料性能对BCCZ点阵结构振动性能的影响规律。结果表明：减小胞元直径，减小面板厚度，提高芯子高度均可以提高BCCZ点阵夹芯梁结构的一阶固有频率参数(一阶固有频率与同质量同面板面积的实体结构之比)，胞元直径的影响最明显。面板-芯子-面板材料组合为钛-铝-钛时一阶固有频率最高。研究结果对BCCZ点阵夹芯结构的设计及工程应用具有一定的指导意义。

Abstract

The vibration behavior of a cantilevered sandwich beam with BCCZ (boundary of BCC lattice added with bar in Z direction) lattice sandwich structures was studied by theoretical, numerical and experimental methods. The equivalent shear modulus of BCCZ lattice under constraint boundary was used to obtain the nature frequency based on the "improved fold-line" deformation theory and Hamilton principles. The BCCZ lattice specimen was fabricated by selective laser melting (SLM) and TC4. Modal test experiments were also carried out to verify the accuracy of the theoretical model and finite element model. The structural geometric parameters, such as cell diameter, panel thickness and core height, and the influence of materials on the vibration properties of BCCZ lattice structures were studied as well. The results show that the 1st frequency parameters (the ratio of the 1st frequency to the solid structure with the same mass and panel area) of BCCZ lattice sandwich beam can be improved by reducing the cell diameter, reducing the panel thickness and increasing the core height. The effect of cell diameter is the most obvious. The 1st frequency is the highest when the material combination of panel-core-panel is Ti-Al-Ti. This paper will be useful for the design and engineering applications of BCCZ lattice sandwich.

关键词

点阵夹芯梁 / 自由振动 / 固有频率 / 增材制造 / 有限元

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张武昆1,2，谭永华3，高玉闪1,2，王珺1,2，赵剑1,耿小亮4. 增材制造BCCZ点阵夹芯梁结构的自由振动分析[J]. 振动与冲击, 2023, 42(1): 318-325

ZHANG Wukun1,2, TAN Yonghua3, GAO Yushan1,2, WANG Jun1,2, ZHAO Jian1, GENG Xiaoliang4. Free vibration analysis of BCCZ lattice sandwich beam structure manufactured with additives[J]. Journal of Vibration and Shock, 2023, 42(1): 318-325

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