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。
Here,vibration behavior of BCCZ lattice sandwich beam structure with cantilever boundary condition was studied with theory,finite element and test method.Based on Hamilton principle and the“improved broken line”method,the theoretical model of its vibration frequency was obtained.BCCZ lattice sandwich beam specimens were prepared using the selective laser melting(SLM)technology and titanium alloy TC4 material,and modal tests were conducted.The correctness of the theoretical model was verified using finite element method and tests.Then,effects of structural geometric parameters and material properties,such as,cell diameter,panel thickness and core height on vibration performance of BCCZ lattice structure were studied.The results showed that reducing cell diameter,reducing panel thickness and increasing core height can all increase the first order natural frequency parameter of BCCZ lattice sandwich beam structure,i.e.,the ratio of its first order natural frequency to a solid structure with the same mass and panel area,and cell diameter’s effects is the most obvious;the first order natural frequency is the highest when panel-core-panel material combination is Ti-Al-Ti;the study results have a certain guiding significance for design and engineering application of BCCZ lattice sandwich structure.
作者
张武昆
谭永华
高玉闪
王珺
赵剑
耿小亮
ZHANG Wukun;TAN Yonghua;GAO Yushan;WANG Jun;ZHAO Jian;GENG Xiaoliang(Xi’an Aerospace Power Research Institute,Xi’an 710100,China;National Key Lab of Science and Technology on Liquid Rocket Engines,Xi’an Aerospace Power Research Institute,Xi’an 710100,China;Academy of Aerospace Propulsion Technology,Xi’an 710100,China;School of Mechanics,Civil Engincering and Architecture,Northwestern Polytechnical University,Xi’an 710072,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2023年第1期318-325,共8页
Journal of Vibration and Shock
基金
航天先进制造技术研究联合基金(U1737205)
国家自然科学基金面上项目(51775412)
液体火箭发动机重点实验室开发基金(6142704200405)。
关键词
点阵夹芯梁
自由振动
固有频率
增材制造
有限元
lattice sandwich beam
free vibration
natural frequency
additive manufacturing
finite element
