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    Nonparametric Stochastic Modeling of Uncertainty in Rotordynamics—Part I: Formulation

    Source: Journal of Engineering for Gas Turbines and Power:;2010:;volume( 132 ):;issue: 009::page 92501
    Author:
    Raghavendra Murthy
    ,
    Aly El-Shafei
    ,
    Marc P. Mignolet
    DOI: 10.1115/1.3204645
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A systematic and rational approach is presented for the consideration of uncertainty in rotordynamics systems, i.e., in rotor mass and gyroscopic matrices, stiffness matrix, and bearing coefficients. The approach is based on the nonparametric stochastic modeling technique, which permits the consideration of both data and modeling uncertainty. The former is induced by a lack of exact knowledge of properties such as density, Young’s modulus, etc. The latter occurs in the generation of the computational model from the physical structure as some of its features are invariably ignored, e.g., small anisotropies, or approximately represented, e.g., detailed meshing of gears. The nonparametric stochastic modeling approach, which is briefly reviewed first, introduces uncertainty in reduced order models through the randomization of their system matrices (e.g., stiffness, mass, and damping matrices of nonrotating structural dynamic systems). Here, this methodology is extended to permit the consideration of uncertainty in symmetric and asymmetric rotor dynamic systems. More specifically, uncertainties on the rotor stiffness (stiffness matrix) and/or mass properties (mass and gyroscopic matrices) are first introduced that maintain the symmetry of the rotor. The generalization of these concepts to uncertainty in the bearing coefficients is achieved next. Finally, the consideration of uncertainty in asymmetric rotors is described in detail.
    keyword(s): Simulation , Algorithms , Modeling , Rotors , Stiffness , Uncertainty , Rotordynamics , Bearings AND Damping ,
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      Nonparametric Stochastic Modeling of Uncertainty in Rotordynamics—Part I: Formulation

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    http://yetl.yabesh.ir/yetl1/handle/yetl/143103
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    • Journal of Engineering for Gas Turbines and Power

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    contributor authorRaghavendra Murthy
    contributor authorAly El-Shafei
    contributor authorMarc P. Mignolet
    date accessioned2017-05-09T00:37:32Z
    date available2017-05-09T00:37:32Z
    date copyrightSeptember, 2010
    date issued2010
    identifier issn1528-8919
    identifier otherJETPEZ-27131#092501_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/143103
    description abstractA systematic and rational approach is presented for the consideration of uncertainty in rotordynamics systems, i.e., in rotor mass and gyroscopic matrices, stiffness matrix, and bearing coefficients. The approach is based on the nonparametric stochastic modeling technique, which permits the consideration of both data and modeling uncertainty. The former is induced by a lack of exact knowledge of properties such as density, Young’s modulus, etc. The latter occurs in the generation of the computational model from the physical structure as some of its features are invariably ignored, e.g., small anisotropies, or approximately represented, e.g., detailed meshing of gears. The nonparametric stochastic modeling approach, which is briefly reviewed first, introduces uncertainty in reduced order models through the randomization of their system matrices (e.g., stiffness, mass, and damping matrices of nonrotating structural dynamic systems). Here, this methodology is extended to permit the consideration of uncertainty in symmetric and asymmetric rotor dynamic systems. More specifically, uncertainties on the rotor stiffness (stiffness matrix) and/or mass properties (mass and gyroscopic matrices) are first introduced that maintain the symmetry of the rotor. The generalization of these concepts to uncertainty in the bearing coefficients is achieved next. Finally, the consideration of uncertainty in asymmetric rotors is described in detail.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonparametric Stochastic Modeling of Uncertainty in Rotordynamics—Part I: Formulation
    typeJournal Paper
    journal volume132
    journal issue9
    journal titleJournal of Engineering for Gas Turbines and Power
    identifier doi10.1115/1.3204645
    journal fristpage92501
    identifier eissn0742-4795
    keywordsSimulation
    keywordsAlgorithms
    keywordsModeling
    keywordsRotors
    keywordsStiffness
    keywordsUncertainty
    keywordsRotordynamics
    keywordsBearings AND Damping
    treeJournal of Engineering for Gas Turbines and Power:;2010:;volume( 132 ):;issue: 009
    contenttypeFulltext
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