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    A New Cluster-Based Harmonic Balance Aided Optimization Procedure With Application to Nonlinear Vibration Absorbers

    Source: Journal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 007::page 71007
    Author:
    Premchand, V. P.
    ,
    Narayanan, M. D.
    ,
    Sajith, A. S.
    DOI: 10.1115/1.4043527
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: This work presents a new strategy in design optimization of nonlinear vibration absorbers with continuous and discontinuous motions. A cluster-based harmonic balance aided optimization technique using force balance or energy balance as the basis is generalized and adapted for nonlinear systems. It is found that optimal design parameters form a cluster in the parameter space and points from the parameter space inside the cluster satisfies design considerations. One of the main disadvantages of using existing optimization methods in nonlinear systems is that the parameter regimes, which provide periodic solutions, are not known beforehand, so one has to first do bifurcation studies to arrive at periodic regimes and optimization has to be conducted in the range. Proposed method combines these two steps as it converges to periodic clusters alone. Since the method admits only periodic solutions, occurrence of conditions such as chaos and quasi periodicity can be eliminated from the dynamics of the system. The proposed method can also be used to find the optimal parameters of both linear and nonlinear dynamical systems.
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      A New Cluster-Based Harmonic Balance Aided Optimization Procedure With Application to Nonlinear Vibration Absorbers

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4259327
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    • Journal of Computational and Nonlinear Dynamics

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    contributor authorPremchand, V. P.
    contributor authorNarayanan, M. D.
    contributor authorSajith, A. S.
    date accessioned2019-09-18T09:08:26Z
    date available2019-09-18T09:08:26Z
    date copyright5/13/2019 12:00:00 AM
    date issued2019
    identifier issn1555-1415
    identifier othercnd_014_07_071007
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4259327
    description abstractThis work presents a new strategy in design optimization of nonlinear vibration absorbers with continuous and discontinuous motions. A cluster-based harmonic balance aided optimization technique using force balance or energy balance as the basis is generalized and adapted for nonlinear systems. It is found that optimal design parameters form a cluster in the parameter space and points from the parameter space inside the cluster satisfies design considerations. One of the main disadvantages of using existing optimization methods in nonlinear systems is that the parameter regimes, which provide periodic solutions, are not known beforehand, so one has to first do bifurcation studies to arrive at periodic regimes and optimization has to be conducted in the range. Proposed method combines these two steps as it converges to periodic clusters alone. Since the method admits only periodic solutions, occurrence of conditions such as chaos and quasi periodicity can be eliminated from the dynamics of the system. The proposed method can also be used to find the optimal parameters of both linear and nonlinear dynamical systems.
    publisherAmerican Society of Mechanical Engineers (ASME)
    titleA New Cluster-Based Harmonic Balance Aided Optimization Procedure With Application to Nonlinear Vibration Absorbers
    typeJournal Paper
    journal volume14
    journal issue7
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4043527
    journal fristpage71007
    journal lastpage071007-11
    treeJournal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 007
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian