Ideal Compliant Joints and Integration of Computer Aided Design and Analysis

Hamed, A. A.; Jayakumar, Paramsothy; Letherwood, Michael D.; Gorsich, David; Recuero, Antonio M.; Shabana, Ahmed A.

doi:10.21236/ada590062

Cited by 4 publications

(3 citation statements)

References 20 publications

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“…Shear and torsion represent important independent modes of deformation that must be properly represented in the mathematical model. Their effect in large displacement and large deformation problems can be systematically captured using ANCF finite elements, which have been successfully used in many applications [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Capturing shear deformations does not require the use of two independent meshes and does not require interpolation of rotations.…”

Section: Independent Deformation Modes and Locking Problemsmentioning

confidence: 99%

A two-dimensional shear deformable ANCF consistent rotation-based formulation beam element

Zheng

Shabana

2016

Nonlinear Dyn

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It has been demonstrated recently that the absolute nodal coordinate formulation (ANCF) can be used to develop lower-order consistent rotation-based formulations (CRBF) that employ finite rotation parameters as nodal coordinates without the need for interpolating the rotation field. The objective of this study is to develop new planar shear-deformable ANCF/CRBF beam elements and demonstrate their use. A cubic ANCF/CRBF shear deformable beam element is first developed starting with the ANCF kinematic description that employs position vector gradients as nodal coordinates. The transverse position vector gradients at the nodes are expressed in terms of finite rotation parameters, leading to a lower-dimensional beam element model that captures the shear deformation, ensures continuity of the stresses and rotations at the nodes, allows for an arbitrary large displacement, and has a kinematic description consistent with geometry methods and suitable for systematically modeling curved structures. The results, obtained using the new planar ANCF/CRBF shear deformable beam element, are compared with the original and more general ANCF shear deformable beam element. Another lower-dimension bilinear CRBF beam element which has three coordinates at each node, two translation coordinates and one rotation parameter, is also developed in this investigation. The formulations of the three finite elements, including the ANCF finite element, considered in this investigation are compared. Numerical results are presented in order to demonstrate the use of the new formulations and test their performances in the analysis of large displacements and deformations. While the ANCF/CRBF assumptions are evaluated numerically, the results obtained show, in general, a good agreement between the elements considered in this study. The results also show that the CRBF finite elements, which have nonlinear mass matrix, can be more efficient for smaller meshes. As the mesh size and the number of finite elements increase, the original higher order ANCF finite elements, which have constant mass matrix and zero Coriolis and centrifugal forces, become more efficient. The ANCF/CRBF approach clearly demonstrates that there is no need for introducing an independent rotation field to capture the shear effect.

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Section: Independent Deformation Modes and Locking Problemsmentioning

confidence: 99%

A two-dimensional shear deformable ANCF consistent rotation-based formulation beam element

Zheng

Shabana

2016

Nonlinear Dyn

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“…ANCF element technology includes several different types of beam, plate/shell and solid elements based on standard polynomial basis functions (Von Dombrowski, 1997, Omar and Shabana, 2001, Mikkola and Shabana, 2003, Shabana, 2013, Olshevskiy et al, 2014, rational basis functions Shabana, 2009, Pappalardo et al 2016) and with rotations as degrees of freedom instead of gradient vectors (Zheng andShabana, 2016, Pappalardo et al 2017). ANCF elements have been used in a diverse range of applications like tracked vehicles, tires, satellites and pantograph-catenary systems (Hamed et al, 2015, Patel et al, 2015, Liu et al, 2011, Kulkarni et al, 2017. However, like classical finite elements, ANCF elements can suffer from the locking phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Locking alleviation in the large displacement analysis of beam elements: the strain split method

Patel

Shabana

2018

Acta Mech

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This paper proposes a new locking alleviation technique for absolute nodal coordinate formulation (ANCF) beam and plate elements based on a strain split approach. The paper also surveys classical finite element (FE) and ANCF locking alleviation techniques discussed in the literature. Because ANCF beam elements, which allow for the cross section stretch, fully capture the Poisson effect, Poisson locking is an issue when such beam elements are considered. The two-dimensional fullyparameterized ANCF beam element is primarily used in this investigation because such an element can serve as a good surrogate model for three-dimensional ANCF beams and plates as far as membrane, bending and transverse shearing behavior is concerned. In addition to proposing the strain split method (SSM) for ANCF locking alleviation, this work assesses the ANCF FE performance in the cases of higher-order interpolation, enhanced assumed strain method, elastic line method, and the enhanced continuum mechanics approach; and demonstrates the design of the enhanced strain interpolation function by using the shape functions of higher-order ANCF elements. Additionally, a new higher-order ANCF two-dimensional beam element is proposed in order to compare its performance with other finite elements that require the use of other locking alleviation techniques proposed and reviewed in the paper. Finally, several numerical examples are shown to demonstrate the effectiveness of the locking alleviation methods applied to ANCF elements. The purpose of this investigation, apart from proposing a new locking alleviation technique, a new higher-order beam element, and comparing several existing locking alleviation techniques, is to show that dealing with locking in fully-parameterized ANCF elements is feasible and that several methods exist to effectively improve the ANCF element performance without sacrificing important ANCF element properties and features including position vector gradient continuity. Because of the use of ANCF position vector gradients as nodal coordinates, complex stress-free initially-curved geometries can be systematically obtained. Such initially-curved geometries require special attention when attempting to solve locking problems, as will be discussed in this paper.

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“…An ANCF preprocessor can also be developed such that the joints can be defined at arbitrary points that are not necessarily nodal points. 22 The rigid rim can be defined using the concept of the ANCF reference node which is not associated with any of the tire mesh FEs. 23,24 The concept of the reference node allows developing a detailed tire assembly model as the one shown in Figure 1 using one ANCF mesh.…”

Section: Introductionmentioning

confidence: 99%

A new multibody system approach for tire modeling using ANCF finite elements

Patel

Orzechowski

Tian

et al. 2015

Proceedings of the Institution of Mechanical Engineers, Part K:

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This paper introduces a new computational multibody system framework for developing accurate tire models using the finite element absolute nodal coordinate formulation (ANCF). Absolute nodal coordinate formulation finite elements are used to create the geometry and perform the finite element/multibody system analysis of the tires. The computational procedure used in this study allows for modeling composite tires and for using a continuum-based air pressure and contact tire force models. The absolute nodal coordinate formulation tire mesh, which allows for high spinning speed, has a constant inertia matrix and zero Coriolis and centrifugal forces. The concept of the absolute nodal coordinate formulation reference node, introduced recently, is used to develop linear connectivity conditions between the tire tread and rim, thereby allowing for imposing these linear conditions at a preprocessing stage. Using this approach, the dependent variables are eliminated at a preprocessing stage before the start of the simulation. The reference node, which is not associated with a particular finite element, is used to define the inertia of the rigid rims. The inertia coefficients associated with the rim reference nodes are first developed in terms of the absolute nodal coordinate formulation position and gradient coordinates. The rigidity of each rim is enforced during the dynamic analysis using six nonlinear algebraic constraint equations that are combined with the dynamic differential equations of motion using the technique of Lagrange multipliers. It is shown in this investigation that the concept of the absolute nodal coordinate formulation reference node can be used to develop a complete vehicle model using one absolute nodal coordinate formulation mesh in which the redundant variables are systematically eliminated at a preprocessing stage, and consequently, the number of differential and algebraic equations that need to be solved is significantly reduced. The use of the new approach proposed in this paper is demonstrated using a vehicle model described by one absolute nodal coordinate formulation mesh.

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Ideal Compliant Joints and Integration of Computer Aided Design and Analysis

Cited by 4 publications

References 20 publications

A two-dimensional shear deformable ANCF consistent rotation-based formulation beam element

A two-dimensional shear deformable ANCF consistent rotation-based formulation beam element

Locking alleviation in the large displacement analysis of beam elements: the strain split method

A new multibody system approach for tire modeling using ANCF finite elements

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