Application of the Absolute Nodal Co-Ordinate Formulation to Multibody System Dynamics

Escalona, José L.; Hussien, Hussien A.; Shabana, Ahmed A.

doi:10.1006/jsvi.1998.1563

Cited by 139 publications

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“…Note that the general expression for the elastic forces obtained in this investigation using the continuum mechanics approach and the nonlinear strain-displacement relationships is much simpler than the expression obtained in previous investigations [6,9] using the element local coordinate system and linear strain-displacement relationships. The general expression obtained in this paper automatically captures the effect of geometric centrifugal stiffening.…”

Section: )mentioning

confidence: 77%

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Development of a Shear Deformable Element Using the Absolute Nodal Coordinate Formulation

Omar¹,

Shabana²

2000

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Section: )mentioning

confidence: 77%

“…Shabana, et al [6,8,9,10,11] proposed two methods for formulating the elastic forces of the twodimensional beam element. In the first method, a local element coordinate system is introduced for the convenience of describing the element deformation.…”

Section: Introductionmentioning

confidence: 99%

Development of a Shear Deformable Element Using the Absolute Nodal Coordinate Formulation

Omar¹,

Shabana²

2000

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“…In this paper a planar gradient deficient [25] Euler-Bernoulli beam element is used [30][31][32], Fig. 1.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Absolute Nodal Coordinate Formulation in a Pre-Stressed Large-Displacements Dynamical System

Skrinjar

Slavič

Boltežar

2017

Stroj. vest. - Jour. Mech. Eng.

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The design process for dynamical models has to consider all the properties of a mechanical system that have an effect on its dynamical response. In multi-body dynamics, flexible bodies are frequently modeled as rigid, resulting in non-valid Keywords: ANCF, pre-stress, multibody system, measurement Highlights • A numerical model of a rigid-flexible multibody system is used in the analysis of kinematic properties during switch-off. • A flexible body is modeled with the Absolute Nodal Coordinate Formulation to include the pre-stress effect. • The influence of different parameters on the switch-off time and the contact distance is investigated. • The numerical model was validated and shows good agreement with the experimental values. INTRODUCTIONWhen modeling dynamical systems the proper material and contact properties of the numerical model are crucial for simulating an accurate dynamic response. One of the properties to be considered is the effect of pre-stress on rigid and flexible bodies, as it can have a significant impact on the dynamical response of multibody mechanical systems.The modeling of deformable bodies in a multibody system can be done using a floating frame of reference (FFR) [1], which is based on the classic finite element (FE) method that is widely used in a variety of applications [2] and [3]. While in a floating frame of reference formulation a mixed set of absolute reference and local elastic coordinates are used, in the absolute nodal coordinate formulation (ANCF) only absolute coordinates are used, which include global displacement and global vector gradients [4]. The ANCF is a non-incremental method and it has been used for solving many different problems in mechanics, such as vehicle components [5] and [6], the modeling of belt drives [7], railroad applications [8], bio-mechanics [9] and also in the field of digital image correlation (DIC) [10]. The main features of the ANCF are a constant mass matrix, zero centrifugal and Coriolis inertia forces and the possibility for exact modeling of rigid-body movement.The modeling of the pre-stress effect on bodies in mechanical systems is an interesting research topic in civil-engineering applications [11], where the static [12] and dynamic responses of structural elements are considered [13]. The effect of pre-stress is introduced to the ANCF finite elements to create an accurate model of a leaf spring, where pre-stress is evaluated based on the known geometrical states in the undeformed and deformed configurations that define the vector of absolute nodal coordinates [14]. In [15] the effect of the non-dimensional axial pre-stress of eigenfrequencies on a simply supported beam is researched. The pre-stress effect is included in the model of a flexible multibody belt-drive [16], where the belt-drive is modeled with ANCF two-dimensional shear deformable beam elements that account for the longitudinal and shear deformations.When modeling mechanical systems [17-20] a validation is needed to evaluate the results from the numerical model, this can be ...

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“…This choice of the coordinates leads to isoparametric elements. The use of the absolute nodal coordinate formulation in the analysis of flexible multibody systems has been demonstrated in several previous piiblica-tions■ [5,7,22]. The equivalence between this formulation and the floating frame of reference formulation was also demonstrated [1,17].…”

Section: Introductionmentioning

confidence: 99%

A Finite Element Study of the Geometric Centrifugal Stiffening Effect

Berzeri¹,

Shabana²

1999

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Application of the Absolute Nodal Co-Ordinate Formulation to Multibody System Dynamics

Cited by 139 publications

References 0 publications

Development of a Shear Deformable Element Using the Absolute Nodal Coordinate Formulation

Development of a Shear Deformable Element Using the Absolute Nodal Coordinate Formulation

Absolute Nodal Coordinate Formulation in a Pre-Stressed Large-Displacements Dynamical System

A Finite Element Study of the Geometric Centrifugal Stiffening Effect

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