Non-linear dynamics of flexible multibody systems

Ibrahimbegović, Adnan; Taylor, Robert L.; Lim, H.C.

doi:10.1016/s0045-7949(03)00032-4

Cited by 33 publications

(15 citation statements)

References 25 publications

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“…in Mamouri (2000 and, Ibrahimbegović et al (2003), Romero (2008), Ghosh andRoy (2009), Betsch andSteinmann (2003), Jelenić and Crisfield (2001) and Romero and Armero (2002). Most of those studies state that the Newmark time integration procedure cannot be used in nonlinear dynamics as a whole, however, finite rotation based methods are not the unique strategy to solve nonlinear dynamics.…”

Section: Latin American Journal Of Solids and Structures 14 (2017) 52-71mentioning

confidence: 99%

Flexible Multibody Dynamics Finite Element Formulation Applied to Structural Progressive Collapse Analysis

Sanches

Coda

2017

Lat. Am. j. solids struct.

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This paper presents a two-dimensional frame finite element methodology to deal with flexible multi-body dynamic systems and applies it to building progressive collapse analysis. The proposed methodology employs a frame element with Timoshenko kinematics and the dynamic governing equation is solved based on the stationary potential energy theorem written regarding nodal positions and generalized vectors components instead of displacements and rotations. The bodies are discretized by lose finite elements, which are assembled by Lagrange multipliers in order to make possible dynamical detachment. Due to the absence of rotation, the time integration is carried by classical Newmark algorithm, which reveals to be stable to the position based formulation. The accuracy of the proposed formulation is verified by simple examples and its capabilities regarding progressive collapse analysis is demonstrated in a more complete building analysis.

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Section: Latin American Journal Of Solids and Structures 14 (2017) 52-71mentioning

confidence: 99%

Flexible Multibody Dynamics Finite Element Formulation Applied to Structural Progressive Collapse Analysis

Sanches

Coda

2017

Lat. Am. j. solids struct.

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“…In [131] energy preserving implicit and explicit integrators for constrained multi-body systems are developed. A survey about non-linear dynamics of flexible multi-body systems is given in [109].…”

Section: Time-stepping Schemementioning

confidence: 99%

“…Consideringη sh = Nη sh (e) and p sh = Np sh (e) , it is possible to consider the FE approximation of the linearized form of the internal contribution to the virtual work principle, (109), relative to the element I h e at a given configuration, as which is not necessarily symmetric. A deep analysis about this and other aspects was provided by Simo in Ref.…”

Section: Fe Approximation Of the Tangential Stiffnessmentioning

confidence: 99%

Constitutive and Geometric Nonlinear Models for the Seismic Analysis of RC Structures with Energy Dissipators

Mata

Barbat

Oller

et al. 2008

Arch Computat Methods Eng

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Nowadays, the use of energy dissipating devices to improve the seismic response of RC structures constitutes a mature branch of the innovative procedures in earthquake engineering. However, even though the benefits derived from this technique are well known and widely accepted, the numerical methods for the simulation of the nonlinear seismic response of RC structures with passive control devices is a field in which new developments are continuously preformed both in computational mechanics and earthquake engineering. In this work, a state of the art of the advanced models for the numerical simulation of the nonlinear dynamic response of RC structures with passive energy dissipating devices subjected to seismic loading is made. The most commonly used passive energy dissipating devices are described, together with their dissipative mechanisms as well as with the numerical procedures used in modeling RC structures provided with such devices. The most important approaches for the formulation of beam models for RC structures are reviewed, with emphasis on the theory and numerics of formulations that consider both geometric and constitutive sources on nonlinearity. In the same manner, a more complete treatment is given to the constitutive nonlinearity in the context of fiber-like approaches including the corresponding cross sectional analysis. Special attention is paid to the use of damage indices able of estimating the remaining load carrying capacity of structures after a seismic action. Finally, nonlinear constitutive and geometric formulations for RC beam elements are examined, together with energy dissipating devices formulated as simpler beams with adequate constitutive laws. Numerical examples allow to illustrate the capacities of the presented formulations.

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“…It should be pointed out, however, that the lumped mass concept leads to an error in the computation of the moment of inertia (see [11]). The absolute values of energy and angular momentum are affected by this error.…”

Section: Flexible System With Diagonal Mass Matrixmentioning

confidence: 99%

Analysis of flexible structures with occasionally rigid parts under transient loading

Göttlicher

Schweizerhof

2005

Computers & Structures

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In the computation of solid structures under long duration transient loading it is often advisable to treat parts of the structure at least for some time of the analysis as rigid bodies. Such a procedure increases first the efficiency of the analysis considerably and second the numerical condition of the system of equations benefits substantially within the numerical solution process. In particular structural modeling capabilities concerning boundary conditions and load transfer are considerably extended compared to a straightforward modeling with rigid bodies. The parts assumed rigid with small strains and sharing almost only a rigid body motion can be found in systems with high difference in stiffness as well as in systems with modestly loaded parts.A methodology based on the Energy Momentum Method is developed for creating occasionally rigid bodies within the computation. A criterion based on strain rates is used to decide for the modification from flexible to rigid. For optimal reduction of the number of degrees of freedom the rigid bodies are formulated using a transformation to minimal coordinates, also called master slave concept. The numerical examples involving long duration motion and large rotations demonstrate the possibilities of the developed procedure.

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Non-linear dynamics of flexible multibody systems

Cited by 33 publications

References 25 publications

Flexible Multibody Dynamics Finite Element Formulation Applied to Structural Progressive Collapse Analysis

Flexible Multibody Dynamics Finite Element Formulation Applied to Structural Progressive Collapse Analysis

Constitutive and Geometric Nonlinear Models for the Seismic Analysis of RC Structures with Energy Dissipators

Analysis of flexible structures with occasionally rigid parts under transient loading

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