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提供了一种处理具有结构耦合的大挠度复合材料柔性梁的分析方法。在将三维弹性问题分解为二维线性剖面特性分析和一维非线性分析的基础上,采用有限元法计算梁的二维剖面刚度特性,编制了具有多个单元库的程序软件,它能有效地处理复杂剖面形状,对参考剖面点的翘曲位移未加任何限制;一维非线性分析时用Euler角描述梁的空间变形位置,建立的非线性微分方程组适用于任意大变形情况。文中给出了详细的分析与试验结果,并着重分析和试验了根部安装角分别为0°,45°的两种情况,揭示了结构耦合对变形的影响,试验与分析具有良好的一致性,表明本文方法及处理简便、可行。
An analytical method is provided for handling large-deflection composite flexible beams with structural coupling. On the basis of decomposing the three-dimensional elastic problem into two-dimensional linear profile characteristics and one-dimensional nonlinear analysis, the finite element method is used to calculate the two-dimensional profile stiffness characteristics of the beam, and a program software with a plurality of unit libraries is prepared, which is effective In the one-dimensional nonlinear analysis, the Euler angle is used to describe the spatial deformation position of the beam. The nonlinear differential equations are established for any large deformation case. The detailed analysis and experimental results are given in this paper. Two cases of the installation angles of 0 ° and 45 ° are respectively analyzed and tested. The effects of structural coupling on the deformation are revealed. The tests and analyzes have good consistency, This paper shows that the method and processing is simple and feasible.