contributor author | G. M. T. D’Eleuterio | |
contributor author | T. D. Barfoot | |
date accessioned | 2017-05-09T00:22:33Z | |
date available | 2017-05-09T00:22:33Z | |
date copyright | March, 2007 | |
date issued | 2007 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26621#231_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/135142 | |
description abstract | The discretized equations of motion for elastic systems are typically displayed in second-order form. That is, the elastic displacements are represented by a set of discretized (generalized) coordinates, such as those used in a finite-element method, and the elastic rates are simply taken to be the time-derivatives of these displacements. Unfortunately, this approach leads to unpleasant and computationally intensive inertial terms when rigid rotations of a body must be taken into account, as is so often the case in multibody dynamics. An alternative approach, presented here, assumes the elastic rates to be discretized independently of the elastic displacements. The resulting dynamical equations of motion are simplified in form, and the computational cost is correspondingly lessened. However, a slightly more complex kinematical relation between the rate coordinates and the displacement coordinates is required. This tack leads to what may be described as a discrete quasi-coordinate formulation. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | A Discrete Quasi-Coordinate Formulation for the Dynamics of Elastic Bodies | |
type | Journal Paper | |
journal volume | 74 | |
journal issue | 2 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.2189873 | |
journal fristpage | 231 | |
journal lastpage | 239 | |
identifier eissn | 1528-9036 | |
keywords | Dynamics (Mechanics) | |
keywords | Deformation | |
keywords | Equations of motion | |
keywords | Equations | |
keywords | Stiffness | |
keywords | Displacement AND Hamilton's principle | |
tree | Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 002 | |
contenttype | Fulltext | |