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    Analysis of Milling Stability by the Chebyshev Collocation Method: Algorithm and Optimal Stable Immersion Levels 

    Source: Journal of Computational and Nonlinear Dynamics:;2009:;volume( 004 ):;issue: 003:;page 31003
    Author(s): Eric A. Butcher; Ed Bueler; Praveen Nindujarla; Oleg A. Bobrenkov
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper the dynamic stability of the milling process is investigated through a single degree-of-freedom model by determining the regions where chatter (unstable) vibrations occur in the ...
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    Response and Stability Analysis of Periodic Delayed Systems With Discontinuous Distributed Delay 

    Source: Journal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 003:;page 31010
    Author(s): Oleg A. Bobrenkov; Morad Nazari; Eric A. Butcher
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, the analysis of delay differential equations with periodic coefficients and discontinuous distributed delay is carried out through discretization by the Chebyshev spectral continuous ...
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    Investigation of Period-Doubling Islands in Milling With Simultaneously Engaged Helical Flutes 

    Source: Journal of Vibration and Acoustics:;2012:;volume( 134 ):;issue: 002:;page 21008
    Author(s): Firas A. Khasawneh; Oleg A. Bobrenkov; Brian P. Mann; Eric A. Butcher
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper investigates the stability of a milling process with simultaneously engaged flutes using the state-space TFEA and Chebyshev collocation methods. In contrast to prior works, multiple ...
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