Computational strategies for flexible multibody systems

Wasfy, Tamer M.; Noor, Ahmed K.

doi:10.1115/1.1590354

Cited by 324 publications

(175 citation statements)

References 446 publications

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“…This method is usually able to include only small deformations and linear material models. The large deformations and nonlinearities might be modeled with the finite element analysis (FEA) [4], but the FEA does not work perfectly with the MBS [42].…”

Section: Introductionmentioning

confidence: 99%

Nearly incompressible nonlinear material models in the large deformation analysis of beams using ANCF

Orzechowski

Frączek

2015

Nonlinear Dyn

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Many modern applications of the flexible multibody systems require formulations that can effectively solve problems that include large displacements and deformations having the ability to model nonlinear materials. One method that allows dealing with such systems is continuum-based absolute nodal coordinate formulation (ANCF). The objective of this study is to formulate an efficient method of modeling nonlinear nearly incompressible materials with polynomial Mooney-Rivlin models and volumetric energy penalty function in the framework of the ANCF. The main part of this paper is dedicated to the examination of several ANCF fully parameterized beam elements under incompressible regime. Moreover, two volumetric suppression methods, originating in the finite element analysis, are proposed: a well-known selective reduced integration and F-bar projection. It is also presented that the use of these methods is crucial for performing reliable analysis of models with bending-dominated loads when lower-order elements are employed. The results of the simulations carried on with considered elements and proposed methods are compared with the results obtained from commercial finite element package and existing ANCF implementation. The results

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Section: Introductionmentioning

confidence: 99%

Nearly incompressible nonlinear material models in the large deformation analysis of beams using ANCF

Orzechowski

Frączek

2015

Nonlinear Dyn

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“…There are various approaches to modeling of flexibility of bodies [37,38]. There are practically endless possibilities (e.g., when the finite element method is used, the same rigid body may be in many ways divided into finite elements, and different types of elements may be used).…”

Section: The Role Of Flexibility In Joint Forces Distributionmentioning

confidence: 99%

Modeling of static friction in closed-loop kinematic chains—Uniqueness and parametric sensitivity problems

Wojtyra

2016

Multibody Syst Dyn

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Problems with uniqueness and high parametric sensitivity of the solution of equations of motion, encountered in the static friction regime, are addressed. Friction in joints of a multibody system with closed-loop kinematic chains is discussed. Three different models of friction are studied: the discontinuous Coulomb model with stiction regime represented in terms of additional constraints; the approximate Coulomb model, smoothed in the vicinity of zero relative velocity; and the LuGre model with presliding displacements represented in terms of auxiliary state variables. Firstly, a rigid body model is investigated. It is shown that in the case of constraint addition approach, problems with uniqueness of solution emerge in the static friction regime. In the case of continuous models of friction, the solution in the stiction regime and its vicinity is highly sensitive to some hardly measurable or arbitrarily chosen parameters of the model of friction. Origins of nonuniqueness and high sensitivity are investigated, and the questionable credibility of the stiction regime simulation results is discussed. Secondly, a simplified model of body and joint elasticity is introduced to investigate the impact of flexibility on the mechanism frictional behavior. It is shown that taking the flexibility into consideration may eliminate the uniqueness and sensitivity problems. Moreover, the quantities that represent flexibility may be regarded as the key factors influencing the results of stiction regime simulation. Five examples are provided to illustrate the presented considerations.

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“…If the reference coordinate system is included in the deformation description and if a linear straindisplacement relationship is assumed, model order reduction techniques can be used to reduce the complexity of the calculations [9]. Model reduction enables computationally efficient description of structural flexibility such that real-time simulation becomes possible [1,4].…”

Section: Introductionmentioning

confidence: 99%

Inertia forces and shape integrals in the floating frame of reference formulation

2017

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Modeling and analysis of complex dynamical systems can be effectively performed using multibody system (MBS) simulation software. Many modern MBS packages are able to efficiently and reliably handle rigid and flexible bodies, often offering a wide choice of different formulations. Despite many advances in modeling of flexible systems, the most widely used formulation remains the well-established floating frame of reference formulation (FFRF). Although FFRF usually allows inclusion of only small elastic deformations, this assumption is adequate for many industrial applications. In addition, FFRF is computationally efficient if implemented with appropriate model order reduction techniques and effective handling of system inertia terms by utilization of so-called inertia shape integrals. However, derivation of the system of equations of motion for FFRF bodies is a complex and often error-prone task. The main goal of this paper is to provide a reliable, detailed, universal and

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Computational strategies for flexible multibody systems

Cited by 324 publications

References 446 publications

Nearly incompressible nonlinear material models in the large deformation analysis of beams using ANCF

Nearly incompressible nonlinear material models in the large deformation analysis of beams using ANCF

Modeling of static friction in closed-loop kinematic chains—Uniqueness and parametric sensitivity problems

Inertia forces and shape integrals in the floating frame of reference formulation

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