Modal Identities for Elastic Bodies, With Application to Vehicle Dynamics and ControlSource: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 001::page 177Author:P. C. Hughes
DOI: 10.1115/1.3153599Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: It is a standard procedure to analyze a flexible vehicle in terms of its vibration frequencies and mode shapes. However, the entire mode shape is not needed per se, but two integrals of the mode shape, pi and hi , which correspond to the momentum and angular momentum in Mode i. Together with the natural frequencies ωi , these modal parameters satisfy several important identities, 25 of which are derived in this paper. Expansions in terms of both “constrained” and “unconstrained” modes are considered. A simple illustrative example is included. The paper concludes with some remarks on the theoretical and practical utility of these results, and several potential extensions to the theory are suggested.
keyword(s): Vehicle dynamics , Shapes , Frequency , Momentum , Oscillating frequencies , Angular momentum AND Vehicles ,
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contributor author | P. C. Hughes | |
date accessioned | 2017-05-08T23:08:07Z | |
date available | 2017-05-08T23:08:07Z | |
date copyright | March, 1980 | |
date issued | 1980 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26138#177_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/92974 | |
description abstract | It is a standard procedure to analyze a flexible vehicle in terms of its vibration frequencies and mode shapes. However, the entire mode shape is not needed per se, but two integrals of the mode shape, pi and hi , which correspond to the momentum and angular momentum in Mode i. Together with the natural frequencies ωi , these modal parameters satisfy several important identities, 25 of which are derived in this paper. Expansions in terms of both “constrained” and “unconstrained” modes are considered. A simple illustrative example is included. The paper concludes with some remarks on the theoretical and practical utility of these results, and several potential extensions to the theory are suggested. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Modal Identities for Elastic Bodies, With Application to Vehicle Dynamics and Control | |
type | Journal Paper | |
journal volume | 47 | |
journal issue | 1 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3153599 | |
journal fristpage | 177 | |
journal lastpage | 184 | |
identifier eissn | 1528-9036 | |
keywords | Vehicle dynamics | |
keywords | Shapes | |
keywords | Frequency | |
keywords | Momentum | |
keywords | Oscillating frequencies | |
keywords | Angular momentum AND Vehicles | |
tree | Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 001 | |
contenttype | Fulltext |