Corotational finite element analysis of planar flexible multibody systems

Elkaranshawy, Hesham A.; Dokainish, M. A.

doi:10.1016/0045-7949(94)00346-5

Cited by 39 publications

(28 citation statements)

References 19 publications

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“…The key idea is to separate the motion of each finite element in a rigid body part and a deformational part, which is small relative to a local coordinate system [3,6]. The equations of motion are defined in the global frame while strains are measured in the co-rotational coordinate system of the element.…”

Section: Co-rotational Finite Element Formulationmentioning

confidence: 99%

Dynamic responses of flexible-link mechanisms with passive/active damping treatment

Deü

Galucio

Ohayon

2008

Computers & Structures

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This work presents a finite element formulation for non-linear transient dynamic analysis of adaptive beams. The main contribution of this work concerns the development of an original co-rotational sandwich beam element, which allows large displacements and rotations, and takes active/passive damping into account. This element is composed of a viscoelastic core and elastic/piezoelectric laminated faces. The latter are modeled using classical laminate theory, where the electromechanical coupling is considered by modifying the stiffness of the piezoelectric layers. For the core, a four-parameter fractional derivative model is used to characterize its viscoelastic dissipative behavior. Equations of motion are solved using an incremental-iterative method based on the Newmark direct time integration scheme in conjunction with the Grü nwald approximation of fractional derivatives, and the Newton-Raphson algorithm.

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Section: Co-rotational Finite Element Formulationmentioning

confidence: 99%

Dynamic responses of flexible-link mechanisms with passive/active damping treatment

Deü

Galucio

Ohayon

2008

Computers & Structures

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“…Both types of the FMD equations mentioned above can be computed by means of various temporal domain integral techniques such as explicit integral, implicit integral and explicit-implicit mixed integral methods [6][7][8][9][10][11][12][13][14][15][16][17]. In addition, researchers attempted some other methods, such as recursive solution procedures, parallel computational strategies, object-oriented strategies, computerized symbolic manipulation and adaptive approximation strategies, to improve computational efficiency of the FMD problems.…”

Section: Introductionmentioning

confidence: 99%

Study on sub-cycling algorithm for flexible multi-body system—integral theory and implementation flow chart

et al. 2007

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A sub-cycling integration algorithm (or named multi-time-steps integration algorithm), which has been successfully applied to FEM dynamical analysis, was firstly presented by Belytschko et al. (Comput Methods Appl Mech Eng 17/18:259-275, 1979). However, the problem of how to apply this type of algorithm to flexible multi-body dynamics (FMD) problems still lacks investigation up to now. Similar to the region-partitioning method used in FEM, this paper presents a central-difference-based sub-cycling integral method by decomposing the variables of an FMD equation into several groups and adopting different integral step sizes to each group of the variables. Based on the condensed form of an FMD equation, a group of common update formulae and a sub-step update formula, which constitute the sub-cycling together, are established in the paper. Furthermore, an implementation flowchart of the sub-cycling is presented. Stability of the sub-cycling will be analyzed and numerical examples will be performed to verify availability and precision of the sub-cycling in part II of the paper.

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“…(13). Consequently, several additional terms have been introduced in the expressions of the inertia force vector and the tangent (mass and gyroscopic) matrices.…”

Section: Finite Rotations and Warping Variablesmentioning

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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Corotational finite element analysis of planar flexible multibody systems

Cited by 39 publications

References 19 publications

Dynamic responses of flexible-link mechanisms with passive/active damping treatment

Dynamic responses of flexible-link mechanisms with passive/active damping treatment

Study on sub-cycling algorithm for flexible multi-body system—integral theory and implementation flow chart

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

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