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Dimensional Analysis of Shell-like Buckling in IsoTruss® Structures Using Numerical Methods

机译:使用数值方法的Isotruss®结构壳体屈曲的尺寸分析

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This study is a dimensional analysis of the shell-like buckling failure mode of 8-node IsoTruss® structures, composite lattice grid columns, subject to uniaxial compression. The specimens analyzed herein are composed of graphite/epoxy materials and were designed in a preceding study for light-weight space applications, being approximately 3 m (10 ft.) long and 0.14 kg (0.31 lb.). Buckingham's Pi Theorem is implemented to reduce the critical geometric and material design parameters to a smaller set of independent, non-dimensional Π variables. The shell-like buckling load is also made non-dimensional and assigned as the dependent Π variable. Finite element analyses are performed to predict the shell-like buckling loads of various configurations of IsoTruss structures. The predicted shell-like buckling loads are plotted in the form of Π variables with respect to design parameters to characterize trends. The finite element predictions are also plotted with analytical predictions to evaluate the accuracy of an analytical expression derived in a preceding study. Results indicate that the analytical expression accurately represents the influence of the longitudinal radius and bay length, however, the stiffness contributed by the helical radius is underestimated.
机译:本研究是8节点ISOTRUSS®结构的壳状屈曲失效模式的尺寸分析,复合晶格网格柱,受单轴压缩。本文分析的样品由石墨/环氧材料构成,并设计在前述研究中,用于轻量度空间应用,约为3μm(10英尺)长和0.14kg(0.31磅)。 Chiblingham的PI定理被实施为将临界几何和材料设计参数减少到较小的独立,非维度π变量。壳状屈曲负载也是不维的,并作为从属π变量分配。进行有限元分析以预测Isotruss结构各种配置的壳状屈曲负载。关于设计参数的π变量的形式绘制预测的外壳状屈曲载荷以表征趋势。还具有分析预测的有限元预测,以评估前述研究中衍生的分析表达的准确性。结果表明,分析表达式准确地表示纵向半径和湾长度的影响,然而,由螺旋半径贡献的刚度低估。

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