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Homogenization and Equivalent Beam Model for Fiber-Reinforced Tubular Profiles

机译:纤维增强型材的均质化和等效梁模型

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摘要

The current work presents a study on hollow cylinder composite beams, since hollow cylinder cross-sections are one of the principal geometry in many engineering fields. In particular, the present study considers the use of these profiles for scaffold design in offshore engineering. Composite beams cannot be treated as isotropic ones due to couplings mainly present among traction, torsion, bending and shear coefficients. This research aims to present a simple approach to study composite beams as they behave like isotropic ones by removing most complexities related to composite material design (e.g., avoid the use of 2D and 3D finite element modeling). The work aims to obtain the stiffness matrix of the equivalent beam through an analytical approach which is valid for most of the laminated composite configurations present in engineering applications. The 3D Euler–Bernoulli beam theory is considered for obtaining the correspondent isotropic elastic coefficients. The outcomes show that negligible errors occur for some equivalent composite configurations by allowing designers to continue using commercial finite element codes that implement the classical isotropic beam model.
机译:由于空心圆柱体的横截面是许多工程领域的主要几何形状之一,因此目前的工作是对空心圆柱体组合梁的研究。特别是,本研究考虑了在海上工程支架设计中使用这些轮廓。由于主要存在于牵引,扭转,弯曲和剪切系数之间的耦合,因此不能将复合梁视为各向同性梁。这项研究旨在提供一种简单的方法,通过消除与复合材料设计相关的大多数复杂性(例如避免使用2D和3D有限元建模)来研究复合梁的各向同性。这项工作旨在通过一种分析方法来获得等效梁的刚度矩阵,该方法对于工程应用中存在的大多数叠层复合结构均有效。为了获得相应的各向同性弹性系数,考虑使用3D欧拉-伯努利梁理论。结果表明,通过允许设计人员继续使用实现经典各向同性梁模型的商业有限元代码,对于某些等效的复合结构,可以忽略不计的误差。

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