Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations

Ibrahimbegović, Adnan; Mamouri, Said

doi:10.1016/s0045-7825(02)00377-8

Cited by 86 publications

(62 citation statements)

References 19 publications

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“…An energy conserving/decaying time-stepping algorithm has been used for the dynamic analysis of the problem [20] [21] [22]. This approach ensures the stability in the nonlinear geometric range.…”

Section: Structural Solvermentioning

confidence: 99%

A FEM fluid–structure interaction algorithm for analysis of the seal dynamics of a Surface-Effect Ship

García¹,

Capua²,

Serván-Camas³

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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This paper shows the recent work of the authors in the development of a time-domain FEM model for evaluation of the seal dynamics of a surface effect ship. The fluid solver developed for this purpose, uses a potential flow approach along with a stream-line integration of the free surface. The paper focuses on the free surface-structure algorithm that has been developed to allow the simulation of the complex and highly dynamic behavior of the seals in the interface between the air cushion, and the water. The developed fluid-structure interaction solver is based, on one side, on an implicit iteration algorithm, communicating pressure forces and displacements of the seals at memory level and, on the other side, on an innovative wetting and drying scheme able to predict the water action on the seals. The stability of the iterative scheme is improved by means of relaxation, and the convergence is accelerated using Aitken's method. Several validations against experimental results have been carried out to demonstrate the developed algorithm.

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Section: Structural Solvermentioning

confidence: 99%

A FEM fluid–structure interaction algorithm for analysis of the seal dynamics of a Surface-Effect Ship

García¹,

Capua²,

Serván-Camas³

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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“…However, a numerical damping gives also a dissipation of the total energy, which can affect long time analyses. It can be noted that for beam structures, more robust alternatives to the HHT α method have been proposed in the literature [23].…”

Section: Numerical Examplementioning

confidence: 99%

A New 3d Co-Rotational Beam Element for Nonlinear Dynamic Analysis

Le¹,

Battini²,

Hjiaj³

2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. The paper investigates the contribution of the warping deformations and the shear center location on the dynamic response of 3D thin-walled beams obtained with an original consistent co-rotational formulation developed by the authors. Consistency of the formulation is ensured by employing the same kinematic assumptions to derive both the static and dynamic terms. Hence, the element has seven degrees of freedom at each node and cubic shape functions are used to interpolate local transversal displacements and axial rotations. Accounting for warping deformations and the position of the shear center produces additional terms in the expressions of the inertia force vector and the tangent dynamic matrix. The performance of the present formulation is assessed by comparing its predictions against 3D-solid FE solutions.

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“…These algorithms involve a multistage computation per time step and require solving a larger system than those solved with classical schemes, due to the coupling between the displacement and velocity. Another approach is to construct the algorithm from an energy conserving integrator [32,30,1,2,36,27]. These algorithms are designed using a specialized approximation of the element stress tensor and the velocity to ensure a positive numerical damping.…”

Section: Introductionmentioning

confidence: 99%

A robust composite time integration scheme for snap-through problems

et al. 2015

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A robust time integration scheme for snapthrough buckling of shallow arches is proposed. The algorithm is a composite method that consists of three sub-steps. Numerical damping is introduced to the system by employing an algorithm similar to the backward differentiation formulas (BDF) method in the last substep. Optimal algorithmic parameters are established based on stability criteria and minimization of numerical damping. The proposed method is accurate, numerically stable, and efficient as demonstrated through several examples involving loss of stability, large deformation, large displacements and large rotations.

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Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations

Cited by 86 publications

References 19 publications

A FEM fluid–structure interaction algorithm for analysis of the seal dynamics of a Surface-Effect Ship

A FEM fluid–structure interaction algorithm for analysis of the seal dynamics of a Surface-Effect Ship

A New 3d Co-Rotational Beam Element for Nonlinear Dynamic Analysis

A robust composite time integration scheme for snap-through problems

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