YaBeSH Engineering and Technology Library

    • Journals
    • PaperQuest
    • YSE Standards
    • YaBeSH
    • Login
    View Item 
    •   YE&T Library
    • ASME
    • Journal of Vibration and Acoustics
    • View Item
    •   YE&T Library
    • ASME
    • Journal of Vibration and Acoustics
    • 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 Robust Semi-Analytical Method for Calculating the Response Sensitivity of a Time Delay System

    Source: Journal of Vibration and Acoustics:;2008:;volume( 130 ):;issue: 006::page 64504
    Author:
    Mohammad H. Kurdi
    ,
    Brian P. Mann
    ,
    Raphael T. Haftka
    ,
    Tony L. Schmitz
    DOI: 10.1115/1.2981093
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: It is often necessary to establish the sensitivity of an engineering system’s response to variations in the process/control parameters. Applications of the calculated sensitivity include gradient-based optimization and uncertainty quantification, which generally require an efficient and robust sensitivity calculation method. In this paper, the sensitivity of the milling process, which can be modeled by a set of time delay differential equations, to variations in the input parameters is calculated. The semi-analytical derivative of the maximum eigenvalue provides the necessary information for determining the sensitivity of the process stability to input variables. Comparison with the central finite difference derivative of the stability boundary shows that the semi-analytical approach is more efficient and robust with respect to step size and numerical accuracy of the response. An investigation of the source of inaccuracy of the finite difference approximation found that it is caused by discontinuities associated with the iterative process of root finding using the bisection method.
    keyword(s): Stability , Delays , Eigenvalues , Milling , Spindles (Textile machinery) AND Differential equations ,
    • Download: (179.1Kb)
    • Show Full MetaData Hide Full MetaData
    • Get RIS
    • Item Order
    • Go To Publisher
    • Price: 5000 Rial
    • Statistics

      A Robust Semi-Analytical Method for Calculating the Response Sensitivity of a Time Delay System

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/139566
    Collections
    • Journal of Vibration and Acoustics

    Show full item record

    contributor authorMohammad H. Kurdi
    contributor authorBrian P. Mann
    contributor authorRaphael T. Haftka
    contributor authorTony L. Schmitz
    date accessioned2017-05-09T00:30:59Z
    date available2017-05-09T00:30:59Z
    date copyrightDecember, 2008
    date issued2008
    identifier issn1048-9002
    identifier otherJVACEK-28897#064504_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/139566
    description abstractIt is often necessary to establish the sensitivity of an engineering system’s response to variations in the process/control parameters. Applications of the calculated sensitivity include gradient-based optimization and uncertainty quantification, which generally require an efficient and robust sensitivity calculation method. In this paper, the sensitivity of the milling process, which can be modeled by a set of time delay differential equations, to variations in the input parameters is calculated. The semi-analytical derivative of the maximum eigenvalue provides the necessary information for determining the sensitivity of the process stability to input variables. Comparison with the central finite difference derivative of the stability boundary shows that the semi-analytical approach is more efficient and robust with respect to step size and numerical accuracy of the response. An investigation of the source of inaccuracy of the finite difference approximation found that it is caused by discontinuities associated with the iterative process of root finding using the bisection method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Robust Semi-Analytical Method for Calculating the Response Sensitivity of a Time Delay System
    typeJournal Paper
    journal volume130
    journal issue6
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2981093
    journal fristpage64504
    identifier eissn1528-8927
    keywordsStability
    keywordsDelays
    keywordsEigenvalues
    keywordsMilling
    keywordsSpindles (Textile machinery) AND Differential equations
    treeJournal of Vibration and Acoustics:;2008:;volume( 130 ):;issue: 006
    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