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bucking of tri-axial woven fabric composite structures subjected to Bi-axial loadi:non-linear finite element analysis and analytical solution

机译:双轴载荷作用下三轴机织物复合结构的屈曲:非线性有限元分析和解析解

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In the present study, non-linear global buckling analysis of tri-axial composite structures subjected to bi-axial loading is performed using the updated Langrangian incremental finite element formulation. The analysis first considers simple tri-axial structures and then proceeds to more complicated structures. These structures include basic tri-axial structure, modified tri-axial structure and enlarged tri-axial structure. The non-linear finite element analysis results reveal that these structures approximately have the same buckling behavior, but with different values of buckling load. When more X-crossovers are involved in the tri-axial structures, their buckling loads tend to approach some certain value. The sensitivity of the buckling behavior of the basic tri-axial structure to the change in the boundary conditions and to the imperfection due to initial configuration is also investigated.In order to provide confirmation to the numerical solutions and to provide simpler ways to obtain the results, approximate analytical solutions corresponding to the different tri-axial structures have been derived using equivalent anisotropic plate theory. Both numerical solution and approximate analytical solution are comparable. The techniques used for approximate analytical solution can be used to obtain the buckling load of a real life tri-axial structure.
机译:在本研究中,使用更新的Langrangian增量有限元公式对承受双轴载荷的三轴复合结构进行了非线性整体屈曲分析。分析首先考虑简单的三轴结构,然后进行更复杂的结构。这些结构包括基本的三轴结构,改进的三轴结构和扩大的三轴结构。非线性有限元分析结果表明,这些结构大致具有相同的屈曲行为,但屈曲载荷的值不同。当三轴结构中涉及更多的X交越点时,它们的屈曲载荷趋于接近某个确定值。还研究了基本三轴结构的屈曲行为对边界条件的变化以及由于初始配置而引起的缺陷的敏感性。 为了确认数值解并提供更简单的方法来获得结果,已使用等效各向异性板理论推导了对应于不同三轴结构的近似解析解。数值解和近似解析解都是可比较的。用于近似解析解的技术可用于获得现实生活中的三轴结构的屈曲载荷。

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