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Finite Element Method in Dynamics of Flexible Multibody Systems: Modeling of Holonomic Constraints and Energy Conserving Integration Schemes (2000)

Ibrahimbegović, Adnan ; Mamouri, Saïd ; Taylor, Robert L. ; [et al.]

Springer

Multibody system dynamics 4 (2000), S. 195-223

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ISSN: 1573-272X

Keywords: flexible multibody system ; holonomic constraint ; time integration

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: Abstract In this work we discuss an application of the finite elementmethod to modeling of flexible multibody systems employing geometricallyexact structural elements. Two different approaches to handleconstraints, one based on the Lagrange multiplier procedure and anotherbased on the use of release degrees of freedom, are examined in detail.The energy conserving time stepping scheme, which is proved to be wellsuited for integrating stiff differential equations, gouverning themotion of a single flexible link is appropriately modified and extendedto nonlinear dynamics of multibody systems.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1009867627506

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Computational aspects of vector-like parametrization of three-dimensional finite rotations (1995)

Ibrahimbegović, Adnan ; Frey, François ; Kožar, Ivica

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 38 (1995), S. 3653-3673

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ISSN: 0029-5981

Keywords: three-dimensional finite rotations ; parametrization ; computational procedure ; Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: Theoretical and computational aspects of vector-like parametrization of three-dimensional finite rotations, which uses only three rotation parameters, are examined in detail in this work. The relationship of the proposed parametrization with the intrinsic representation of finite rotations (via an orthogonal matrix) is clearly identified. Careful considerations of the consistent linearization procedure pertinent to the proposed parametrization of finite rotations are presented for the chosen model problem of Reissner's non-linear beam theory. Pertaining details of numerical implementation are discussed for the simplest choice of the finite element interpolations for a 2-node three-dimensional beam element. A number of numerical simulations in three-dimensional finite rotation analysis are presented in order to illustrate the proposed approach.

Additional Material: 7 Ill.