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Proceedings ArticleDOI

Multibody System/Finite Element Simulation of Belt Drives and Rubber Tracked Vehicles

About: The article was published on 2008-10-07. It has received None citations till now. The article focuses on the topics: Multibody system & Belt drive.
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Book
01 Jan 1989
TL;DR: In this article, the authors propose a floating frame of reference formulation for large deformation problems in linear algebra, based on reference kinematics and finite element formulation for deformable bodies.
Abstract: 1. Introduction 2. Reference kinematics 3. Analytical techniques 4. Mechanics of deformable bodies 5. Floating frame of reference formulation 6. Finite element formulation 7. Large deformation problem Appendix: Linear algebra References Index.

2,125 citations

MonographDOI
01 Jan 2005

473 citations

Journal ArticleDOI
TL;DR: In this article, an absolute nodal coordinate formulation is presented for the large rotation and deformation analysis of three dimensional beam elements, taking into account the effect of rotary inertia, torsion and shear, and ensuring continuity of the slopes as well as the rotation of the beam cross section at the nodal points.
Abstract: The description of a beam element by only the displacement of its centerline leads to some difficulties in the representation of the torsion and shear effects. For instance such a representation does not capture the rotation of the beam as a rigid body about its own axis. This problem was circumvented in the literature by using a local coordinate system in the incremental finite element method or by using the multibody floating frame of reference formulation. The use of such a local element coordinate system leads to a highly nonlinear expression for the inertia forces as the result of the large element rotation. In this investigation, an absolute nodal coordinate formulation is presented for the large rotation and deformation analysis of three dimensional beam elements. This formulation leads to a constant mass matrix, and as a result, the vectors of the centrifugal and Coriolis forces are identically equal to zero. The formulation presented in this paper takes into account the effect of rotary inertia, torsion and shear, and ensures continuity of the slopes as well as the rotation of the beam cross section at the nodal points. Using the proposed formulation curved beams can be systematically modeled.

401 citations

Journal ArticleDOI
TL;DR: In this paper, two beam elements that relax the assumptions of Euler-Bernoulli and Timoshenko beam theories are developed, which take into account the effect of rotary inertia, shear deformation and torsion, and yet they lead to a constant mass matrix.
Abstract: This part of these two companion papers demonstrates the computer implementation of the absolute nodal coordinate formulation for three-dimensional beam elements. Two beam elements that relax the assumptions of Euler-Bernoulli and Timoshenko beam theories are developed. These two elements take into account the effect of rotary inertia, shear deformation and torsion, and yet they lead to a constant mass matrix. As a consequence, the Coriolis and centrifugal forces are identically equal to zero. Both beam elements use the same interpolating polynomials and have the same number of nodal coordinates. However, one of the elements has two nodes, while the other has four nodes. The results obtained using the two elements are compared with the results obtained using existing incremental methods. Unlike existing large rotation vector formulations, the results of this paper show that no special numerical integration methods need to be used in order to satisfy the principle of work and energy when the absolute nodal coordinate formulation is used. These results show that this formulation can be used in manufacturing applications such as high speed forming and extrusion problems in which the element cross section dimensions significantly change.

279 citations

Book
10 Mar 2008
TL;DR: In this article, the authors present a finite element formulation for small deformation, large rotation problem, and force and stresses for large deformation and rotation problem with a small number of forces.
Abstract: 1. Introduction 2. Kinematics 3. Forces and stresses 4. Constitutive equations 5. Plasticity formulations 6. Finite element formulation: large deformation, large rotation problem 7. Finite element formulation: small deformation, large rotation problem.

238 citations