YaBeSH Engineering and Technology Library

    • Journals
    • PaperQuest
    • YSE Standards
    • YaBeSH
    • Login
    View Item 
    •   YE&T Library
    • ASME
    • Journal of Applied Mechanics
    • View Item
    •   YE&T Library
    • ASME
    • Journal of Applied Mechanics
    • View Item
    • All Fields
    • Source Title
    • Year
    • Publisher
    • Title
    • Subject
    • Author
    • DOI
    • ISBN
    Advanced Search
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Archive

    A New Algebraic Rigid-Body Collision Law Based on Impulse Space Considerations

    Source: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004::page 939
    Author:
    A. Chatterjee
    ,
    A. Ruina
    DOI: 10.1115/1.2791938
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We present a geometric representation of the set of three-dimensional rigid-body collisional impulses that are reasonably permissible by the combination of non-negative post-collision separation rate, non-negative collisional compression impulse, non-negative energy dissipation and the Coulomb friction inequality. The construction is presented for a variety of special collisional situations involving special symmetry or extremes in the mass distribution, the friction coefficient, or the initial conditions. We review a variety of known friction laws and show how they do and do not fit in the permissible region in impulse space as well as comment on other attributes of these laws. We present a few parameterizations of the full permissible region of impulse space. We present a simple generalization to arbitrary three-dimensional point contact collisions of a simple law previously only applicable to objects with contact-inertia eigenvectors aligned with the surface normal and initial relative tangential velocity component (e.g., spheres and disks). This new algebraic collision law has two restitution parameters for general three-dimensional frictional single-point rigid-body collisions. The new law generates a collisional impulse that is a weighted sum of the impulses from a frictionless but nonrebounding collision and from a perfectly sticking, nonrebounding collision. We describe useful properties of our law; show geometrically the set of impulses it can predict for several collisional situations; and compare it with existing laws. For simultaneous collisions we propose that the new algebraic law be used by recursively breaking these collisions into a sequence ordered by the normal approach velocities of potential contact pairs.
    keyword(s): Impulse (Physics) , Collisions (Physics) , Friction , Separation (Technology) , Coulombs , Construction , Disks , Compression , Eigenvalues , Energy dissipation AND Inertia (Mechanics) ,
    • Download: (1.700Mb)
    • Show Full MetaData Hide Full MetaData
    • Get RIS
    • Item Order
    • Go To Publisher
    • Price: 5000 Rial
    • Statistics

      A New Algebraic Rigid-Body Collision Law Based on Impulse Space Considerations

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/119854
    Collections
    • Journal of Applied Mechanics

    Show full item record

    contributor authorA. Chatterjee
    contributor authorA. Ruina
    date accessioned2017-05-08T23:55:34Z
    date available2017-05-08T23:55:34Z
    date copyrightDecember, 1998
    date issued1998
    identifier issn0021-8936
    identifier otherJAMCAV-26457#939_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119854
    description abstractWe present a geometric representation of the set of three-dimensional rigid-body collisional impulses that are reasonably permissible by the combination of non-negative post-collision separation rate, non-negative collisional compression impulse, non-negative energy dissipation and the Coulomb friction inequality. The construction is presented for a variety of special collisional situations involving special symmetry or extremes in the mass distribution, the friction coefficient, or the initial conditions. We review a variety of known friction laws and show how they do and do not fit in the permissible region in impulse space as well as comment on other attributes of these laws. We present a few parameterizations of the full permissible region of impulse space. We present a simple generalization to arbitrary three-dimensional point contact collisions of a simple law previously only applicable to objects with contact-inertia eigenvectors aligned with the surface normal and initial relative tangential velocity component (e.g., spheres and disks). This new algebraic collision law has two restitution parameters for general three-dimensional frictional single-point rigid-body collisions. The new law generates a collisional impulse that is a weighted sum of the impulses from a frictionless but nonrebounding collision and from a perfectly sticking, nonrebounding collision. We describe useful properties of our law; show geometrically the set of impulses it can predict for several collisional situations; and compare it with existing laws. For simultaneous collisions we propose that the new algebraic law be used by recursively breaking these collisions into a sequence ordered by the normal approach velocities of potential contact pairs.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA New Algebraic Rigid-Body Collision Law Based on Impulse Space Considerations
    typeJournal Paper
    journal volume65
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2791938
    journal fristpage939
    journal lastpage951
    identifier eissn1528-9036
    keywordsImpulse (Physics)
    keywordsCollisions (Physics)
    keywordsFriction
    keywordsSeparation (Technology)
    keywordsCoulombs
    keywordsConstruction
    keywordsDisks
    keywordsCompression
    keywordsEigenvalues
    keywordsEnergy dissipation AND Inertia (Mechanics)
    treeJournal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian