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    A Theory of Nonlinear Regenerative Chatter

    Source: Journal of Manufacturing Science and Engineering:;1974:;volume( 096 ):;issue: 001::page 247
    Author:
    N. H. Hanna
    ,
    S. A. Tobias
    DOI: 10.1115/1.3438305
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A mathematical theory of nonlinear chatter is developed. In this, the structure is represented by an equivalent single degree of freedom system with nonlinear stiffness characteristics and the cutting force by a third degree polynomial of the chip thickness. This model leads to a second order differential equation with nonlinear stiffness and nonlinear time delay terms from which the conditions of steady state chatter are derived. These are then discussed by applying them to an equivalent system derived from experimental data pertaining to a face milling process. The theory provides an explanation for the stages in which chatter develops and also for the “finite amplitude instability” phenomenon.
    keyword(s): Chatter , Stiffness , Thickness , Force , Degrees of freedom , Differential equations , Cutting , Delays , Milling , Polynomials AND Steady state ,
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      A Theory of Nonlinear Regenerative Chatter

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/165153
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    contributor authorN. H. Hanna
    contributor authorS. A. Tobias
    date accessioned2017-05-09T01:38:52Z
    date available2017-05-09T01:38:52Z
    date copyrightFebruary, 1974
    date issued1974
    identifier issn1087-1357
    identifier otherJMSEFK-27603#247_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/165153
    description abstractA mathematical theory of nonlinear chatter is developed. In this, the structure is represented by an equivalent single degree of freedom system with nonlinear stiffness characteristics and the cutting force by a third degree polynomial of the chip thickness. This model leads to a second order differential equation with nonlinear stiffness and nonlinear time delay terms from which the conditions of steady state chatter are derived. These are then discussed by applying them to an equivalent system derived from experimental data pertaining to a face milling process. The theory provides an explanation for the stages in which chatter develops and also for the “finite amplitude instability” phenomenon.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Theory of Nonlinear Regenerative Chatter
    typeJournal Paper
    journal volume96
    journal issue1
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3438305
    journal fristpage247
    journal lastpage255
    identifier eissn1528-8935
    keywordsChatter
    keywordsStiffness
    keywordsThickness
    keywordsForce
    keywordsDegrees of freedom
    keywordsDifferential equations
    keywordsCutting
    keywordsDelays
    keywordsMilling
    keywordsPolynomials AND Steady state
    treeJournal of Manufacturing Science and Engineering:;1974:;volume( 096 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian