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    Missing Mass Effect in Coupled Analysis. I: Complex Modal Properties

    Source: Journal of Structural Engineering:;1998:;Volume ( 124 ):;issue: 005
    Author:
    Abhinav Gupta
    ,
    Ajaya K. Gupta
    DOI: 10.1061/(ASCE)0733-9445(1998)124:5(490)
    Publisher: American Society of Civil Engineers
    Abstract: New formulations are developed to account for the effect of uncalculated high frequency rigid modes in the seismic analysis of coupled primary–secondary systems by modal synthesis approach. The effect of uncalculated rigid modes is included in terms of residual modal vectors for both the uncoupled primary and the multiply supported secondary systems. The reduced eigenvalue problem, obtained by transforming the original equation of motion in which the displacements at the secondary system degrees of freedom (DOF) are expressed relative to the base of the primary system, gives incorrect results when all the modes of the secondary system are not included and the effect of high frequency modes is included through residual modal vectors. An alternate formulation is presented in which the original equation of motion is transformed such that the displacements at the secondary system DOF are expressed relative to the primary system connecting DOF. The reduced eigenvalue problem is solved using the transformed equation of motion for the nonrigid and the residual modal vectors of the two uncoupled systems.
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      Missing Mass Effect in Coupled Analysis. I: Complex Modal Properties

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/32969
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    • Journal of Structural Engineering

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    contributor authorAbhinav Gupta
    contributor authorAjaya K. Gupta
    date accessioned2017-05-08T20:57:05Z
    date available2017-05-08T20:57:05Z
    date copyrightMay 1998
    date issued1998
    identifier other%28asce%290733-9445%281998%29124%3A5%28490%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/32969
    description abstractNew formulations are developed to account for the effect of uncalculated high frequency rigid modes in the seismic analysis of coupled primary–secondary systems by modal synthesis approach. The effect of uncalculated rigid modes is included in terms of residual modal vectors for both the uncoupled primary and the multiply supported secondary systems. The reduced eigenvalue problem, obtained by transforming the original equation of motion in which the displacements at the secondary system degrees of freedom (DOF) are expressed relative to the base of the primary system, gives incorrect results when all the modes of the secondary system are not included and the effect of high frequency modes is included through residual modal vectors. An alternate formulation is presented in which the original equation of motion is transformed such that the displacements at the secondary system DOF are expressed relative to the primary system connecting DOF. The reduced eigenvalue problem is solved using the transformed equation of motion for the nonrigid and the residual modal vectors of the two uncoupled systems.
    publisherAmerican Society of Civil Engineers
    titleMissing Mass Effect in Coupled Analysis. I: Complex Modal Properties
    typeJournal Paper
    journal volume124
    journal issue5
    journal titleJournal of Structural Engineering
    identifier doi10.1061/(ASCE)0733-9445(1998)124:5(490)
    treeJournal of Structural Engineering:;1998:;Volume ( 124 ):;issue: 005
    contenttypeFulltext
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