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Flexible Multibody Systems Models Using Composite Materials Components

机译:使用复合材料组件的灵活多体系统模型

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摘要

The use of a multibody methodology to describe the large motion of complex systems that experience structural deformations enables to represent the complete system motion, the relative kinematics between the components involved, the deformation of the structural members and the inertia coupling between the large rigid body motion and the system elastodynamics. In this work, the flexible multibody dynamics formulations of complex models are extended to include elastic components made of composite materials, which may be laminated and anisotropic. The deformation of any structural member must be elastic and linear, when described in a coordinate frame fixed to one or more material points of its domain, regardless of the complexity of its geometry. To achieve the proposed flexible multibody formulation, a finite element model for each flexible body is used. For the beam composite material elements, the sections properties are found using an asymptotic procedure that involves a two-dimensional finite element analysis of their cross-section. The equations of motion of the flexible multibody system are solved using an augmented Lagrangian formulation and the accelerations and velocities are integrated in time using a multi-step multi-order integration algorithm based on the Gear method.
机译:使用多体方法来描述经历结构变形的复杂系统的大运动,可以表示完整的系统运动,所涉及组件之间的相对运动学,结构构件的变形以及大刚体运动之间的惯性耦合和系统的弹性动力学。在这项工作中,复杂模型的灵活多体动力学公式被扩展为包括由复合材料制成的弹性部件,这些部件可以是层压的并且是各向异性的。当在固定于其结构域的一个或多个材料点的坐标框中进行描述时,无论其几何结构的复杂性如何,任何结构构件的变形都必须是弹性且线性的。为了实现所提出的柔性多体公式,使用了每个柔性体的有限元模型。对于梁组合材料元素,使用渐近过程找到截面特性,该过程涉及截面的二维有限元分析。使用增强的拉格朗日公式求解柔性多体系统的运动方程,并使用基于Gear方法的多步多阶积分算法对加速度和速度进行实时积分。

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