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首页> 外文期刊>Discrete and continuous dynamical systems▼hSeries S >EFFICIENT HIGH-ORDER IMPLICIT SOLVERS FOR THE DYNAMIC OF THIN-WALLED BEAMS WITH OPEN CROSS SECTION UNDER EXTERNAL ARBITRARY LOADINGS
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EFFICIENT HIGH-ORDER IMPLICIT SOLVERS FOR THE DYNAMIC OF THIN-WALLED BEAMS WITH OPEN CROSS SECTION UNDER EXTERNAL ARBITRARY LOADINGS

机译：高效的高阶隐式求解器，用于在外部任意载荷下具有开放横截面的薄壁梁的动态

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摘要

This paper aims to investigate, in large displacement and torsion context, the nonlinear dynamic behavior of thin-walled beams with open cross section subjected to various loadings by high-order implicit solvers. These homotopy transformations consist to modify the nonlinear discretized dynamic problem by introducing an arbitrary invertible pre-conditioner [K★] and an arbitrary path following parameter. The nonlinear strongly coupled equations of these structures are derived by using a 3D nonlinear dynamic model which accounts for large displacements and large torsion without any assumption on torsion angle amplitude. Coupling complex structural phenomena such that warping, bending-bending, and flexural-torsion are taken into account. Two examples of great practical interest of nonlinear dynamic problems of various thin-walled beams with open section are presented to validate the efficiency and accuracy of high-order implicit solvers. The obtained results show that the proposed homotopy transformations reveal a few number of matrix triangulations. A comparison with Abaqus code is presented.
机译：本文旨在调查大型位移和扭转背景下，通过高阶隐式求解器经受各种负载的开放横截面的薄壁梁的非线性动力学行为。这些同型变换包括通过引入任意可逆的预调节器[k★]和任意路径来修改非线性离散的动态问题。通过使用3D非线性动态模型来导出这些结构的非线性强耦合方程，其考虑大的位移和大扭转而没有任何关于扭转角幅度的假设。耦合复杂结构现象，使得翘曲，弯曲和弯曲扭转​​被考虑在内。提出了具有开口部分各种薄壁梁的非线性动态问题的极大实际兴趣的两个例子，以验证高阶隐式求解器的效率和准确性。所获得的结果表明，所提出的同型变换显示了几数量的矩阵三角形。呈现与ABAQUS代码的比较。

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  • 作者

    AHMED EL KAIMBILLAH; OUSSAMA BOURIHANE; BOUAZZA BRAIKAT; MOHAMMAD JAMAL; FOUDIL MOHRI; NOUREDDINE DAMIL;

  • 作者单位

    Laboratoire d'Ingenierie et Materiaux (LIMAT) Faculte des Sciences Ben M'Sik Hassan Ⅱ University of Casablanca Avenue Cdt Driss El Harti B.P. 7955 Sidi Othman Casablanca Morocco;

    Laboratoire d'Ingenierie et Materiaux (LIMAT) Faculte des Sciences Ben M'Sik Hassan Ⅱ University of Casablanca Avenue Cdt Driss El Harti B.P. 7955 Sidi Othman Casablanca Morocco Laboratoire de Genie Mecanique (LGM) Faculte des Sciences et Techniques Fes Universite Sidi Mohamed Ben Abdellah Route d'Imouzzer B.P. 2202 Fes Maroc;

    Laboratoire d'Ingenierie et Materiaux (LIMAT) Faculte des Sciences Ben M'Sik Hassan Ⅱ University of Casablanca Avenue Cdt Driss El Harti B.P. 7955 Sidi Othman Casablanca Morocco;

    Laboratoire d'Ingenierie et Materiaux (LIMAT) Faculte des Sciences Ben M'Sik Hassan Ⅱ University of Casablanca Avenue Cdt Driss El Harti B.P. 7955 Sidi Othman Casablanca Morocco;

    Laboratoire d'Etude des Microstructures et de Mecanique des Materiaux (LEM3) Universite de Lorraine Metz CNRS UMR 7239 Ile du Saulcy 57057 France;

    Laboratoire d'Ingenierie et Materiaux (LIMAT) Faculte des Sciences Ben M'Sik Hassan Ⅱ University of Casablanca Avenue Cdt Driss El Harti B.P. 7955 Sidi Othman Casablanca Morocco;

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  • 正文语种 eng
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  • 关键词

    Thin-walled beam; open cross section; large displacement; large torsion; forced nonlinear dynamic; finite element; homotopy; power series expansion; Asymptotic Numerical Method (ANM);

    机译：薄壁梁;打开横截面;大流离失所;大扭转;强制非线性动态;有限元;同型;电源系列扩展;渐近数值方法（ANM）;

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