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Dynamics of rotating non-linear thin-walled composite beams: analysis of modeling uncertainties

机译:旋转非线性薄壁组合梁的动力学:建模不确定性分析

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In this article a non-linear model for dynamic analysis of rotating thin-walled composite beams is introduced. The theory is deduced in the context of classic variational principles and the finite element method is employed to discretize and furnish a numerical approximation to the motion equations. The model considers shear flexibility as well as non-linear inertial terms, Coriolis' effects, among others. The clamping stiffness of the beam to the rotating hub is modeled through a set of spring factors. The model serves as a mean deterministic basis to the studies of stochastic dynamics, which are the objective of the present article. Uncertainties should be considered in order to improve the predictability of a given modeling scheme. In a rotating structural system, uncertainties are present due to a number of facts, namely, loads, material properties, etc. In this study the uncertainties are incorporated in the beam-to-hub connection (i.e. the connection angle and the springs) and the rotating velocity. The probability density functions of the uncertain parameters are derived employing the Maximum Entropy Principle. Different numerical studies are conducted to show the main characteristics of the uncertainty propagation in the dynamics of rotating composite beams.
机译:本文介绍了一种用于旋转薄壁复合梁动力分析的非线性模型。该理论是在经典变分原理的背景下推导的,并且采用有限元方法离散化并提供了运动方程的数值近似。该模型考虑了剪切弹性以及非线性惯性项,科里奥利效应等。梁对旋转轮毂的夹紧刚度通过一组弹簧系数建模。该模型是研究随机动力学的平均确定性基础,这是本文的目标。为了提高给定建模方案的可预测性,应考虑不确定性。在旋转的结构系统中,由于多种因素(例如,载荷,材料特性等)而存在不确定性。在这项研究中,不确定性并入了梁到轮毂的连接(即连接角度和弹簧),并且旋转速度。使用最大熵原理导出不确定参数的概率密度函数。进行了不同的数值研究,以显示旋转复合梁动力学中不确定性传播的主要特征。

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