Open AccessBook
Dynamics of multibody systems
TLDR
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.read more
Citations
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Dynamic 3D models with local and global deformations: deformable superquadrics
TL;DR: The authors formulate the deformable superquadrics which incorporate the global shape parameters of a conventional superellipsoid with the local degrees of freedom of a spline to form a novel class of dynamic models that can deform both locally and globally.
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.
Journal ArticleDOI
Advanced Engineering Mathematics. By C. R. Wylie. Pp. xiv, 813. 1966. (McGraw-Hill.)
TL;DR: The theory of residues conformal mapping has been studied in this paper, where the Laplace transformation is used to define a complex variable infinite series in the complex plane, and the calculus of variations analytic functions of the infinite series is studied.
Proceedings ArticleDOI
Dynamic 3D models with local and global deformations: deformable superquadrics
TL;DR: A physically-based approach is presented to fitting complex 3D shapes using a novel class of dynamic models which incorporate the global shape parameters of a conventional superellipsoid with the local degrees of freedom of a spline.
Journal ArticleDOI
Multibody System Dynamics: Roots and Perspectives
TL;DR: There is a strong interest on multibody systems in analytical and numerical mathematics resulting in reduction methods for rigorous treatment of simple models and special integration codes for ODE and DAE representations supporting the numerical efficiency.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
Concepts and Applications of Finite Element Analysis
TL;DR: In this article, the authors present a formal notation for one-dimensional elements in structural dynamics and vibrational properties of a structural system, including the following: 1. Isoparametric Elements.
Book
Introduction to Robotics mechanics and Control
TL;DR: This chapter discusses Jacobians: Velocities and Static Forces, Robot Programming Languages and Systems, and Manipulator Dynamics, which focuses on the role of Jacobians in the control of Manipulators.
Book
Non-Linear Elastic Deformations
TL;DR: In this paper, the influence of non-linear elastic systems on a simple geometric model for elastic deformations is discussed, and the authors propose a planar and spatial euler introduction to nonlinear analysis.