蜂窝铝芯面外等效弹性常数预测及屈曲性能分析

发布时间：2018-02-03 19:56

本文关键词： 蜂窝铝芯面外弹性常数屈曲性能三维均匀化有限元　出处：《湘潭大学》2015年硕士论文　论文类型：学位论文

【摘要】：蜂窝铝芯夹层结构具有比强度比模量高、可设计性强、重量轻等显著优点,已成为航空航天、建筑等领域的主要承力结构。蜂窝铝芯夹层结构的面外宏观等效弹性性能和屈曲稳定性能在其结构面外承载稳定性等方面起着重要作用。本文通过均匀化理论与三维有限元方法相结合,预测蜂窝铝芯夹层结构面外宏观等效弹性常数,并对其轴向静力承载时的临界失稳屈曲载荷进行分析。将渐近均匀化理论与三维有限元方法相结合,推导出了蜂窝铝芯夹层结构复合材料细观尺度下的预测宏观等效弹性模量计算公式。利用MATLAB语言编写了均匀化方法的有限元程序,结合ANSYS APDL参数化建模,实现了对蜂窝铝芯复合材料等效性能的预测。建立了蜂窝铝芯不同胞元结构参数下的不规则细观三维模型,计算了蜂窝铝芯在不同胞元结构参数条件下的等效弹性参数,得到了蜂窝铝芯胞元参数对其面外等效弹性参数的影响规律。将三维均匀化等效弹性参数预测与材料效率分析相结合,从结构轻量化角度分析蜂窝铝芯胞元结构参数对其材料效率的影响。采用MATLAB语言编写蜂窝材料效率计算程序,得到了胞元结构参数对面外各个等效弹性模量下的材料效率值。基于薄板屈曲理论,分析了蜂窝铝芯夹层结构材料壁板在简支、弹性支和固支条件下的临界屈曲载荷。利用ANSYS有限元软件,建立了蜂窝铝芯特征胞元有限元模型,验证了该模型的可靠性,模拟了蜂窝铝芯面外轴向载荷下的静力特征屈曲和非线性屈曲失稳模态,得到了胞元结构参数对蜂窝铝芯面外静力载荷作用下的承载能力影响规律。本文研究为蜂窝铝芯夹层结构材料设计及工程应用提供理论依据。
[Abstract]:Aluminum honeycomb core sandwich structure has high specific strength and specific modulus, good design, light weight and other significant advantages, has become the aerospace, construction and other fields. The main load-bearing structure plays an important role in aluminum honeycomb core sandwich structure surface macro equivalent elastic properties and buckling bearing capacity in the structure of plane stability etc. This paper through homogenization theory combined with finite element method, the prediction of aluminum honeycomb core sandwich structure surface macro equivalent elastic constants and the critical buckling load of the axial static analysis. Combining asymptotic homogenization theory and finite element method, a formula is derived to calculate the aluminum honeycomb core sandwich composite meso macro equivalent elastic modulus prediction scale. Using the MATLAB language to write the program of finite element homogenization method, combined with ANSYS APDL parametric modeling, implementation The equivalent properties of aluminum honeycomb core composite material. Prediction for irregular aluminum honeycomb core is not fellow the meso structure parameters of 3D model, equivalent elastic parameters of aluminum honeycomb core in different cellular structure parameters were calculated, and obtains the influence law of aluminum honeycomb core cell parameters on the equivalent plane elastic parameters. Three dimensional homogenization analysis prediction and material efficiency of equivalent elastic parameters of the combination effect of aluminum honeycomb core cell structure parameters on the efficiency of the materials from the angle of lightweight structure. Using MATLAB language cellular material efficiency calculation program, the equivalent elastic modulus across the cellular structure under different parameters the material efficiency value. Based on the theory analysis of the buckling of thin plate, aluminum honeycomb core sandwich structure panel in simply supported, the critical buckling load of elastic support and fixed support conditions. By using the finite element software ANSYS build The characteristics of aluminum honeycomb core cell finite element model, verify the reliability of the model and Simulation of aluminum honeycomb core surface features of static buckling and nonlinear buckling under axial load instability modes, the cellular structure parameters on aluminum honeycomb core surface static load bearing capacity are studied. This paper studies to provide a theoretical basis for the design of aluminum honeycomb sandwich material and engineering application.

【学位授予单位】：湘潭大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TB383.4

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