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首页> 外文会议>ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2007 >FULLY COMPREHENSIVE GEOMETRICALLY NON-LINEAR ANALYSIS OF ANISOTROPIC COMPOSITE BEAM SYSTEMS
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FULLY COMPREHENSIVE GEOMETRICALLY NON-LINEAR ANALYSIS OF ANISOTROPIC COMPOSITE BEAM SYSTEMS

机译：各向异性复合梁系统的完全综合几何非线性分析

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摘要

This paper describes a comprehensive approach to analyse anisotropic composite beams. Based on geometrically non-linear elasticity theory, the non-linear 3-D beam problem splits into either a linear or non-linear 2-D analysis of the beam cross-section and a non-linear 1-D analysis along the beam reference line. Usually cross-sectional analyses are linear, but there are a few exceptions, like the "trapeze effect" and "Brazier effect". The two sub-tasks of this work (viz. non-linear analysis of the beam cross-section and non-linear beam analysis) are to be accomplished on a single platform using object-oriented framework. First, we perform a non-linear numerical cross-sectional analysis, based on the Variational-Asymptotic Method (VAM). It is capable of treating cross-sections of arbitrary geometry and generally anisotropic material. Second, we formulate the comprehensively non-linear 1-D governing equations along the beam reference line using the mixed variational method and the expressions for non-linear stiffness matrix. The dynamic response of non-linear, flexible multi-body systems is thus simulated within the framework of energy-preserving and energy-decaying time integration schemes that provide unconditional stability for non-linear systems. Finally, local 3-D stress, strain and displacement fields for representative sections in the component beams are recovered, based on the stress resultants from a 1 -D global beam analysis. Results from this analysis are compared with those available in the literature, both theoretical and experimental, and focus on the behavior of multi-body systems involving members with elastic couplings.
机译：本文介绍了一种分析各向异性复合梁的综合方法。基于几何非线性弹性理论，非线性3-D梁问题分为梁横截面的线性或非线性2-D分析和沿梁参考的非线性1-D分析线。通常，横截面分析是线性的，但也有一些例外，例如“飞人效应”和“巴西效应”。这项工作的两个子任务（即梁截面的非线性分析和梁的非线性分析）将在单个平台上使用面向对象的框架来完成。首先，我们基于变分渐近方法（VAM）进行非线性数值截面分析。它能够处理任意几何形状和一般各向异性的材料的横截面。其次，我们使用混合变分法和非线性刚度矩阵的表达式，沿梁参考线制定了全面的非线性一维控制方程。因此，在为非线性系统提供无条件稳定性的能量保存和能量衰减时间积分方案的框架内，模拟了非线性柔性多体系统的动态响应。最后，基于一维整体梁分析的应力结果，恢复了组成梁中代表性截面的局部3-D应力，应变和位移场。将该分析的结果与文献中的理论和实验结果进行了比较，并着重于涉及具有弹性耦合构件的多体系统的行为。

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