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    A General Formulation of the Milling Process Equation: Contribution to Machine Tool Chatter Research—5

    Source: Journal of Manufacturing Science and Engineering:;1968:;volume( 090 ):;issue: 002::page 317
    Author:
    R. Sridhar
    ,
    R. E. Hohn
    ,
    G. W. Long
    DOI: 10.1115/1.3604635
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In the cutting process, forces are induced at each of the cutter teeth in contact with the workpiece, and these forces in turn excite the machine tool structure. Due to the inherent feedback which exists between the cutting forces and the structure deflection, there are conditions under which this system becomes unstable. When this occurs, a condition of self-excited chatter exists. In the theory of self-excited chatter for single point tools wherein the tool is continuously in contact with the workpiece, the system can be described by a time-invariant equation, and has been rather fully developed. However, the milling process cannot be described in this manner. It is characterized by a multitooth cutter, and the cutting process itself is interrupted. Also, the direction of the cutting forces generated by each tooth does not remain constant with respect to the machine tool structure as for turning operations, but changes direction as a function of cutter position. In this paper, more complete description of the milling process is formulated. The resulting equation is a general n th order vector-matrix linear equation with periodic coefficients and a transport lag. Or equally, it is a linear differential-difference equation with time-varying coefficients. This equation is then expressed as n -first order equations (state variable form), consistent with current literature and in a form compatible for digital computer analysis.
    keyword(s): Machine tools , Chatter , Equations , Milling , Force , Cutting , Deflection , Feedback , Turning , Equipment and tools AND Computers ,
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      A General Formulation of the Milling Process Equation: Contribution to Machine Tool Chatter Research—5

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    http://yetl.yabesh.ir/yetl1/handle/yetl/128623
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    contributor authorR. Sridhar
    contributor authorR. E. Hohn
    contributor authorG. W. Long
    date accessioned2017-05-09T00:10:37Z
    date available2017-05-09T00:10:37Z
    date copyrightMay, 1968
    date issued1968
    identifier issn1087-1357
    identifier otherJMSEFK-27523#317_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/128623
    description abstractIn the cutting process, forces are induced at each of the cutter teeth in contact with the workpiece, and these forces in turn excite the machine tool structure. Due to the inherent feedback which exists between the cutting forces and the structure deflection, there are conditions under which this system becomes unstable. When this occurs, a condition of self-excited chatter exists. In the theory of self-excited chatter for single point tools wherein the tool is continuously in contact with the workpiece, the system can be described by a time-invariant equation, and has been rather fully developed. However, the milling process cannot be described in this manner. It is characterized by a multitooth cutter, and the cutting process itself is interrupted. Also, the direction of the cutting forces generated by each tooth does not remain constant with respect to the machine tool structure as for turning operations, but changes direction as a function of cutter position. In this paper, more complete description of the milling process is formulated. The resulting equation is a general n th order vector-matrix linear equation with periodic coefficients and a transport lag. Or equally, it is a linear differential-difference equation with time-varying coefficients. This equation is then expressed as n -first order equations (state variable form), consistent with current literature and in a form compatible for digital computer analysis.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA General Formulation of the Milling Process Equation: Contribution to Machine Tool Chatter Research—5
    typeJournal Paper
    journal volume90
    journal issue2
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3604635
    journal fristpage317
    journal lastpage324
    identifier eissn1528-8935
    keywordsMachine tools
    keywordsChatter
    keywordsEquations
    keywordsMilling
    keywordsForce
    keywordsCutting
    keywordsDeflection
    keywordsFeedback
    keywordsTurning
    keywordsEquipment and tools AND Computers
    treeJournal of Manufacturing Science and Engineering:;1968:;volume( 090 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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