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    Primary Resonance of Computer Numerical Control Worktable With Clearance and Friction 

    Source: Journal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 010:;page 0101001-1
    Author(s): Niu, Jiangchuan; Zhao, Zhishuang; Shen, Yongjun; Yang, Shaopu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Computer numerical control (CNC) worktable is the most important part of CNC machines. The CNC worktable exhibits complex nonlinear dynamic behaviors in the milling process. The physical model and mathematical model of CNC ...
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    Resonance Analysis of Fractional-Order Mathieu Oscillator 

    Source: Journal of Computational and Nonlinear Dynamics:;2018:;volume( 013 ):;issue: 005:;page 51003
    Author(s): Niu, Jiangchuan; Gutierrez, Hector; Ren, Bin
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The resonant behavior of fractional-order Mathieu oscillator subjected to external harmonic excitation is investigated. Based on the harmonic balance (HB) method, the first-order approximate analytical solutions for primary ...
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    Superharmonic Resonance of Fractional-Order Mathieu–Duffing Oscillator 

    Source: Journal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 007:;page 71005
    Author(s): Niu, Jiangchuan; Li, Xiaofeng; Xing, Haijun
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: The superharmonic resonance of fractional-order Mathieu–Duffing oscillator subjected to external harmonic excitation is investigated. Based on the Krylov–Bogolubov–Mitropolsky (KBM) asymptotic method, the approximate ...
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    Primary Resonance of Dry Friction Oscillator With Fractional Order Proportional Integral Derivative Controller of Velocity Feedback 

    Source: Journal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 005:;page 51027
    Author(s): Shen, Yongjun; Niu, Jiangchuan; Yang, Shaopu; Li, Sujuan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The classical massonmovingbelt model describing frictioninduced vibration is studied. The primary resonance of dryfriction oscillator with fractionalorder PID (FOPID) controller of velocity feedback is investigated by ...
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    Subharmonic Resonance of Duffing Oscillator With Dry Friction Under Foundation Excitation 

    Source: Journal of Computational and Nonlinear Dynamics:;2022:;volume( 017 ):;issue: 010:;page 101006
    Author(s): Niu, Jiangchuan;Zhang, Wanjie;Wen, Shaofang;Zhang, Jianchao
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The 1/3 subharmonic resonance response of Duffing oscillator with Coulomb dry friction under foundation excitation is investigated, and the approximate analytical solution of the subharmonic resonance of the system is ...
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