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首页> 外文期刊>Engineering Structures >Dynamic analysis of a thin-walled beam with open cross section subjected to dynamic loads using a high-order implicit algorithm
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Dynamic analysis of a thin-walled beam with open cross section subjected to dynamic loads using a high-order implicit algorithm

机译：使用高阶隐式算法对动荷载作用下具有开放截面的薄壁梁进行动力分析

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In this paper, the forced nonlinear dynamic behavior of thin-walled beams with open cross section under external dynamic loads is analyzed by means of a high order implicit algorithm. This algorithm is developed using a 3D nonlinear model that takes into account the large torsion without any assumption on the torsion angle amplitude neither in the constitutive law nor in the derivation for governing dynamic equations. This algorithm is built by employing the following four steps: 1 - the space and time discretization procedures, 2 - a change of variable, 3 - a homotopy transformation, 4 - techniques used in the Asymptotic Numerical Method (ANM) (Cochelin et al., 2007; Mottaqui et al., 2010) [1,2]. The originality of this work reside in the fact that we use, for the first time, this algorithm for nonlinear analysis of thin-walled beams with open cross section under an arbitrary load. The space and time discretizations are performed respectively by the finite elements method and by the classical implicit Newmark scheme. The performance of the high order implicit algorithm is tested on four examples of nonlinear dynamic: a mono-symmetrical beam with a T cross section under external dynamic load, a mono-symmetrical beam with U cross-section under external dynamic load, a bi-symmetrical clamped-free beam IPE300 under harmonic loads and a bi-symmetrical simply supported beam with cruciform section under harmonic loads. A comparison of the obtained results with those computed by the Abaqus industrial code is given. This comparison confirms the robustness, accuracy and efficiency of this high order implicit algorithm. (C) 2016 Elsevier Ltd. All rights reserved.
机译：本文采用高阶隐式算法，分析了开放壁薄壁梁在外部动力荷载作用下的强迫非线性动力特性。该算法是使用3D非线性模型开发的，该模型考虑了大扭转力，而在本构定律和控制动态方程的推导中都没有对扭转角振幅做任何假设。通过以下四个步骤构建该算法：1-时空离散过程，2-变量变化，3-同伦变换，4-渐近数值方法（ANM）中使用的技术（Cochelin等。 ，2007； Mottaqui等人，2010）[1,2]。这项工作的独创性在于我们首次使用这种算法对任意载荷下具有开放截面的薄壁梁进行非线性分析。时空离散分别通过有限元方法和经典隐式Newmark方案执行。高阶隐式算法的性能在非线性动力学的四个示例上进行了测试：在外部动载荷下具有T截面的单对称梁，在外部动载荷下具有U截面的单对称梁，谐波载荷下的对称对称无夹持梁IPE300和谐波载荷下的具有十字形截面的双对称简支梁。将获得的结果与通过Abaqus工业规范计算的结果进行比较。这种比较证实了这种高阶隐式算法的鲁棒性，准确性和效率。 （C）2016 Elsevier Ltd.保留所有权利。

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