Journal ArticleDOI
A finite strain beam formulation. The three-dimensional dynamic problem. Part I
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This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1985-05-01. It has received 996 citations till now. The article focuses on the topics: Beam (structure) & Timoshenko beam theory.read more
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Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures
TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Book
Dynamics of multibody systems
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.
Journal ArticleDOI
A three-dimensional finite-strain rod model. Part II: Computational aspects
Juan C. Simo,Loc Vu-Quoc +1 more
TL;DR: In this article, a variational formulation and computational aspects of a three-dimensional finite-strain rod model, considered in Part I, are presented, which bypasses the singularity typically associated with the use of Euler angles.
Journal ArticleDOI
Flexible Multibody Dynamics: Review of Past and Recent Developments
TL;DR: A review of past and recent developments in the dynamics of flexible multibody systems is presented, and some of the basic approaches used in the computer aided kinematic and dynamic analysis of flexible mechanical systems are reviewed to identify future directions in this research area.
References
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Book
Manifolds, tensor analysis, and applications
TL;DR: In this paper, the authors provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists, including manifolds, dynamical systems, tensors, and differential forms.
Journal ArticleDOI
The Mathematical Theory of Elasticity.
Journal ArticleDOI
An excursion into large rotations
TL;DR: In this article, the authors developed an enlarged exploration of the matrix formulation of finite rotations in space initiated in [1] and showed how a consistent but subtle matrix calculus inevitably leads to a number of elegant expressions for the transformation or rotation matrix T appertaining to a rotation about an arbitrary axis.
Journal ArticleDOI
On one-dimensional finite-strain beam theory: the plane problem
TL;DR: In this paper, a one-dimensional large-strain beam theory for plane deformations of plane beams, with rigorous consistency of dynamics and kinematics via application of the principle of virtual work is presented.
Book ChapterDOI
The Theory of Rods
TL;DR: A theory of rods 2 as discussed by the authors is a characterization of the behavior of slender three-dimensional solid bodies by a set of equations having the parameter of a certain curve and the time as the only independent variables.
Related Papers (5)
A three-dimensional finite-strain rod model. Part II: Computational aspects
Juan C. Simo,Loc Vu-Quoc +1 more