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    Modal Identities for Elastic Bodies, With Application to Vehicle Dynamics and Control

    Source: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 001::page 177
    Author:
    P. C. Hughes
    DOI: 10.1115/1.3153599
    Publisher: 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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      Modal Identities for Elastic Bodies, With Application to Vehicle Dynamics and Control

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    http://yetl.yabesh.ir/yetl1/handle/yetl/92974
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    contributor authorP. C. Hughes
    date accessioned2017-05-08T23:08:07Z
    date available2017-05-08T23:08:07Z
    date copyrightMarch, 1980
    date issued1980
    identifier issn0021-8936
    identifier otherJAMCAV-26138#177_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/92974
    description abstractIt 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.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleModal Identities for Elastic Bodies, With Application to Vehicle Dynamics and Control
    typeJournal Paper
    journal volume47
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3153599
    journal fristpage177
    journal lastpage184
    identifier eissn1528-9036
    keywordsVehicle dynamics
    keywordsShapes
    keywordsFrequency
    keywordsMomentum
    keywordsOscillating frequencies
    keywordsAngular momentum AND Vehicles
    treeJournal of Applied Mechanics:;1980:;volume( 047 ):;issue: 001
    contenttypeFulltext
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