Flexible multibody systems: preliminaries

Bauchau, Olivier A.

doi:10.1007/978-94-007-0335-3_15

Cited by 59 publications

(86 citation statements)

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“…The most common approach to model flexibility is a modal representation based on Component Mode Synthesis from FEM [26], which adds to the generalized coordinates the modal participation factors of each mode used to represent a body's flexibility. This however limits the applicability to linear structures with small elastic displacements.…”

Section: Fig 2 Structural (A) and Aerodynamic (B) Mesh Of The Hale Uavmentioning

confidence: 99%

Nonlinear Static Aeroelasticity of High-Aspect-Ratio-Wing Aircraft by Finite Element and Multibody Methods

Castellani

Cooper

Lemmens

2017

Journal of Aircraft

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Section: Fig 2 Structural (A) and Aerodynamic (B) Mesh Of The Hale Uavmentioning

confidence: 99%

Nonlinear Static Aeroelasticity of High-Aspect-Ratio-Wing Aircraft by Finite Element and Multibody Methods

Castellani

Cooper

Lemmens

2017

Journal of Aircraft

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“…Time integration of systems with a relative important participation of kinematic constraints is then not an easy task. This explains why a great amount of literature can be found about time-integration in flexible multibody dynamics [13].…”

Section: Hzmentioning

confidence: 99%

Some Remarks on Time Integration of 3d Rotor-Stator Assembly

Prabel¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. This paper focuses on the application of time integration methods to rotor-stator assembly modeled by Finite Element Method. In particular the average acceleration method (which is implicit) and the central differences method (which is explicit) are examined. Both belong to the Newmark's time integrator family and are widely used. It is found that the first one is unstable due to the periodic kinematic constraints linking the rotating to the non rotating parts of the structure. A proposed remedy is to add numerical damping leading to the implicit HHT and α-generalized schemes. Concerning the integration with an explicit scheme, it is demonstrated that a classical implementation lead to a vanishingly small critical time step because of the strong gyroscopic effects. An exact implementation of this kind of scheme is proved to maintain the value of the critical time step. 4624

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“…Herein, acts as a push-forward operator, and as a result if f, m, δγ and δκ are expressed in the undeformed frame, F, M, δΓ and δK are expressed in the deformed frame. In order to present the expressions of δγ and δκ, first the definition of virtual rotation is introduced as [3]:…”

Section: Virtual Work Equationmentioning

confidence: 99%

“…It is mentioned that there exists no such a vector like φ for which the variation δφ exists [3]. So the term δφ is used instead of using δ φ.…”

Section: Virtual Work Equationmentioning

confidence: 99%

Large deflection analysis of geometrically exact spatial beams under conservative and nonconservative loads using intrinsic equations

Masjedi

Ovesy

2014

Acta Mech

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Large deflection analysis of geometrically exact beams under conservative and nonconservative loads is considered. A Chebyshev collocation method is used for the discretization of the governing equations of the spatial beam with intrinsic formulation. In the case of nonconservative (follower) loads, since the formulation is expressed in a deformed frame, the formulation is fully free from any displacement or rotational variables, and a direct solution can be achieved. In the case of conservative loads, the applied loads are functions of beam rotations, and in order to retain the intrinsic nature of the formulation, a direct integration of rotations is avoided and an iterative solution of the governing equations in addition to an update on the beam rotations as a post-processing step has been employed. A number of test cases have been considered and are compared to the existing experimental as well as numerical results in the literature. A very good agreement has been observed in the comparison cases, and it is shown that the intrinsic formulation in conjunction with a Chebyshev collocation method while exhibiting advantages in ease of implementation, computational cost and convergence characteristics over other methods can effectively capture the large deflection behavior of spatial beams under various load conditions.

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Flexible multibody systems: preliminaries

Cited by 59 publications

References 0 publications

Nonlinear Static Aeroelasticity of High-Aspect-Ratio-Wing Aircraft by Finite Element and Multibody Methods

Nonlinear Static Aeroelasticity of High-Aspect-Ratio-Wing Aircraft by Finite Element and Multibody Methods

Some Remarks on Time Integration of 3d Rotor-Stator Assembly

Large deflection analysis of geometrically exact spatial beams under conservative and nonconservative loads using intrinsic equations

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