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    Uncertain Dynamic Responses of Fuzzy Arbitrary Order Damped Beam

    Source: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering:;2015:;volume( 001 ):;issue: 004::page 41007
    Author:
    Behera, Diptiranjan
    ,
    Chakraverty, S.
    ,
    Tapaswini, Smita
    DOI: 10.1115/1.4030440
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Uncertain dynamic responses of fuzzy fractionally damped beams have been studied using the newly developed double parametric form of fuzzy numbers subject to unit step and impulse loads. Uncertainties are assumed to be present in the initial conditions, and these are modeled through triangular convex normalized fuzzy sets. Using the alphacut form, the corresponding beam equation is first converted to an intervalbased fuzzy equation. Next, it has been transformed to crisp form by applying a doubleparametric form of fuzzy numbers. Finally, homotopy perturbation method (HPM) has been used to solve the same for obtaining the general fuzzy responses. Various numerical examples are taken into consideration. The results are plotted.
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      Uncertain Dynamic Responses of Fuzzy Arbitrary Order Damped Beam

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    http://yetl.yabesh.ir/yetl1/handle/yetl/156892
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    • ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering

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    contributor authorBehera, Diptiranjan
    contributor authorChakraverty, S.
    contributor authorTapaswini, Smita
    date accessioned2017-05-09T01:14:30Z
    date available2017-05-09T01:14:30Z
    date issued2015
    identifier issn2332-9017
    identifier otherRISK_1_4_041007.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/156892
    description abstractUncertain dynamic responses of fuzzy fractionally damped beams have been studied using the newly developed double parametric form of fuzzy numbers subject to unit step and impulse loads. Uncertainties are assumed to be present in the initial conditions, and these are modeled through triangular convex normalized fuzzy sets. Using the alphacut form, the corresponding beam equation is first converted to an intervalbased fuzzy equation. Next, it has been transformed to crisp form by applying a doubleparametric form of fuzzy numbers. Finally, homotopy perturbation method (HPM) has been used to solve the same for obtaining the general fuzzy responses. Various numerical examples are taken into consideration. The results are plotted.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleUncertain Dynamic Responses of Fuzzy Arbitrary Order Damped Beam
    typeJournal Paper
    journal volume1
    journal issue4
    journal titleASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering
    identifier doi10.1115/1.4030440
    journal fristpage41007
    journal lastpage41007
    treeASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering:;2015:;volume( 001 ):;issue: 004
    contenttypeFulltext
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