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    A Perturbation Method for Inverse Frequency Modification of Discrete, Undamped Systems

    Source: Journal of Applied Mechanics:;1994:;volume( 061 ):;issue: 004::page 887
    Author:
    M. J. Smith
    ,
    S. G. Hutton
    DOI: 10.1115/1.2901573
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A method is described for determining the stiffness and mass modifications required in order to modify the natural frequencies of undamped discrete nongyroscopic vibrating systems in a prescribed manner. The method is based upon a new perturbation formulation. Structural changes are represented by perturbed stiffness and mass matrices defined in terms of linear design parameters of the discrete model. The equations are subject to frequency constraints defined by the analyst, and the modified mode shapes are assumed confined to a subspace of the baseline modes. The proposed method provides a complete solution of the perturbation equations without deleting or approximating coupling terms in the unknowns and is therefore suitable for large and small changes alike. Numerical results demonstrate that the new method is superior to the predictor-corrector method for determining large structural changes and that solutions of a high accuracy can be obtained provided a sufficiently rich subspace of baseline modes is used.
    keyword(s): Design , Equations , Frequency , Shapes AND Stiffness ,
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      A Perturbation Method for Inverse Frequency Modification of Discrete, Undamped Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/113015
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    contributor authorM. J. Smith
    contributor authorS. G. Hutton
    date accessioned2017-05-08T23:43:15Z
    date available2017-05-08T23:43:15Z
    date copyrightDecember, 1994
    date issued1994
    identifier issn0021-8936
    identifier otherJAMCAV-26360#887_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/113015
    description abstractA method is described for determining the stiffness and mass modifications required in order to modify the natural frequencies of undamped discrete nongyroscopic vibrating systems in a prescribed manner. The method is based upon a new perturbation formulation. Structural changes are represented by perturbed stiffness and mass matrices defined in terms of linear design parameters of the discrete model. The equations are subject to frequency constraints defined by the analyst, and the modified mode shapes are assumed confined to a subspace of the baseline modes. The proposed method provides a complete solution of the perturbation equations without deleting or approximating coupling terms in the unknowns and is therefore suitable for large and small changes alike. Numerical results demonstrate that the new method is superior to the predictor-corrector method for determining large structural changes and that solutions of a high accuracy can be obtained provided a sufficiently rich subspace of baseline modes is used.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Perturbation Method for Inverse Frequency Modification of Discrete, Undamped Systems
    typeJournal Paper
    journal volume61
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2901573
    journal fristpage887
    journal lastpage892
    identifier eissn1528-9036
    keywordsDesign
    keywordsEquations
    keywordsFrequency
    keywordsShapes AND Stiffness
    treeJournal of Applied Mechanics:;1994:;volume( 061 ):;issue: 004
    contenttypeFulltext
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