Dynamic analysis of a thin-walled beam with open cross section subjected to dynamic loads using a high-order implicit algorithm

Bourihane, Oussama; Braikat, Bouazza; Jamal, Mohammad; Mohri, Foudil; Damil, Noureddine

doi:10.1016/j.engstruct.2016.04.003

Cited by 20 publications

(20 citation statements)

References 27 publications

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“…of a point M on the section contour are expressed by the following nonlinear relations [8,19,21,12] :…”

Section: Statement Of the Problem And Its Nonlinear Kinematic Relatiomentioning

confidence: 99%

“…The objective is to investigate the influence of homotopies. Two other new efficient homotopies are considered in this paper, which are different from that adopted in [8]. The choice of these proposed homotopy transformations leads to strong reduction of stiffness matrix triangulations.…”

mentioning

confidence: 99%

“…The choice of these proposed homotopy transformations leads to strong reduction of stiffness matrix triangulations. This high-order implicit algorithm was applied successfully to solving instationary nonlinear problems [15,28,18] and to structural nonlinear dynamic problems [8,9]. Two numerical examples of forced nonlinear dynamic problems of thin-walled beams with open cross section subjected to external arbitrary dynamic loads are analyzed to access the efficiency and the reliability of the developed high-order implicit algorithm by considering new homotopy transformations.…”

mentioning

confidence: 99%

“…Two numerical examples of forced nonlinear dynamic problems of thin-walled beams with open cross section subjected to external arbitrary dynamic loads are analyzed to access the efficiency and the reliability of the developed high-order implicit algorithm by considering new homotopy transformations. It is proven that the used implicit highorder algorithm is more reliable and less time consuming than the classical iterative methods and than the developed algorithm in [8].…”

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confidence: 99%

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Efficient high-order implicit solvers for the dynamic of thin-walled beams with open cross section under external arbitrary loadings

Kaimbillah¹,

Bourihane²,

Braikat³

et al. 2019

Discrete &Amp; Continuous Dynamical Systems - S

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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 Key words and phrases. Thin-walled beam, open cross section, large displacement, large torsion, forced nonlinear dynamic, finite element, homotopy, power series expansion, Asymptotic Numerical Method (ANM).

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“…of a point M on the section contour are expressed by the following nonlinear relations [8,19,21,12] :…”

Section: Statement Of the Problem And Its Nonlinear Kinematic Relatiomentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Efficient high-order implicit solvers for the dynamic of thin-walled beams with open cross section under external arbitrary loadings

Kaimbillah¹,

Bourihane²,

Braikat³

et al. 2019

Discrete &Amp; Continuous Dynamical Systems - S

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“…The Newmark method is employed to resolve the differential equation of motion. This method is frequently used in numerical evaluation of the dynamic response of structures [12][13][14]. The wind loads applied in the dynamic analyses are generated from synthetic records obtained by spectral representation with the well-known Shinozuka method [15], which has been shown to give the best results in terms of overall quality of the signal [16].…”

Section: Introductionmentioning

confidence: 99%

Prediction of Maximum Story Drift of MDOF Structures under Simulated Wind Loads Using Artificial Neural Networks

et al. 2017

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Abstract:The aim of this paper is to investigate the prediction of maximum story drift of Multi-Degree of Freedom (MDOF) structures subjected to dynamics wind load using Artificial Neural Networks (ANNs) through the combination of several structural and turbulent wind parameters. The maximum story drift of 1600 MDOF structures under 16 simulated wind conditions are computed with the purpose of generating the data set for the networks training with the Levenberg-Marquardt method. The Shinozuka and Newmark methods are used to simulate the turbulent wind and dynamic response, respectively. In order to optimize the computational time required for the dynamic analyses, an array format based on the Shinozuka method is presented to perform the parallel computing. Finally, it is observed that the already trained ANNs allow for predicting adequately the maximum story drift with a correlation close to 99%.

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Nonlinear dynamic response of functionally graded material plates using a high‐order implicit algorithm

2020

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In this paper, the forced nonlinear dynamic behavior of functionally graded material (FGM) plate under external dynamic loads is analyzed by means of a high‐order implicit algorithm. The model is developed using the third‐order shear deformation plate kinematics (TSDT). Unlike previous works, in this contribution, the formulation is written without resorting to any homogenization technique neither rule of mixture nor considering FGM as a laminated composite. To handle integrals in the case of inhomogeneous FGMs, the stress vector is split to four parts and it is written in dimensionless form. The resulting equations of motion are established using the Hamilton principle. Finite element discretization is adopted using a four‐node quadrilateral element with seven degrees of freedom per node. The resolution of the nonlinear equations is made by a high‐order implicit algorithm based on the asymptotic numerical method (ANM) techniques. Numerical comparisons of vibration natural frequencies and dynamic response of FGM plates under external loading with literature and laminate composite modeling results are presented to validate the accuracy and the performance of the proposed model.

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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

Cited by 20 publications

References 27 publications

Efficient high-order implicit solvers for the dynamic of thin-walled beams with open cross section under external arbitrary loadings

Efficient high-order implicit solvers for the dynamic of thin-walled beams with open cross section under external arbitrary loadings

Prediction of Maximum Story Drift of MDOF Structures under Simulated Wind Loads Using Artificial Neural Networks

Nonlinear dynamic response of functionally graded material plates using a high‐order implicit algorithm

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