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    Application of Singular Value Decomposition for Analysis of Mechanical System Dynamics

    Source: Journal of Mechanical Design:;1985:;volume( 107 ):;issue: 001::page 82
    Author:
    N. K. Mani
    ,
    K. E. Atkinson
    ,
    E. J. Haug
    DOI: 10.1115/1.3258699
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A singular value decomposition method for efficient solution of mixed differential-algebraic equations of motion of mechanical systems is developed. Differential equations of motion are written in terms of a maximal set of Cartesian generalized coordinates that are related through nonlinear algebraic constraint equations. Singular value decomposition of the constraint Jacobian matrix is used to define a new set of generalized coordinates that are partitioned into optimal independent and dependent sets. Integration of only independent generalized coordinates generates all system information. A numerical example is presented to demonstrate effectiveness of the method.
    keyword(s): Motion , System dynamics , Equations of motion , Differential equations , Equations AND Jacobian matrices ,
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      Application of Singular Value Decomposition for Analysis of Mechanical System Dynamics

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    http://yetl.yabesh.ir/yetl1/handle/yetl/100237
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    contributor authorN. K. Mani
    contributor authorK. E. Atkinson
    contributor authorE. J. Haug
    date accessioned2017-05-08T23:20:56Z
    date available2017-05-08T23:20:56Z
    date copyrightMarch, 1985
    date issued1985
    identifier issn1050-0472
    identifier otherJMDEDB-28049#82_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/100237
    description abstractA singular value decomposition method for efficient solution of mixed differential-algebraic equations of motion of mechanical systems is developed. Differential equations of motion are written in terms of a maximal set of Cartesian generalized coordinates that are related through nonlinear algebraic constraint equations. Singular value decomposition of the constraint Jacobian matrix is used to define a new set of generalized coordinates that are partitioned into optimal independent and dependent sets. Integration of only independent generalized coordinates generates all system information. A numerical example is presented to demonstrate effectiveness of the method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleApplication of Singular Value Decomposition for Analysis of Mechanical System Dynamics
    typeJournal Paper
    journal volume107
    journal issue1
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3258699
    journal fristpage82
    journal lastpage87
    identifier eissn1528-9001
    keywordsMotion
    keywordsSystem dynamics
    keywordsEquations of motion
    keywordsDifferential equations
    keywordsEquations AND Jacobian matrices
    treeJournal of Mechanical Design:;1985:;volume( 107 ):;issue: 001
    contenttypeFulltext
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