Dynamic analysis and vibration control of nonlinear boring bar with fractional-order model of magnetorheological fluid

[1]  Zhang Jing,et al.  Novel stability condition for delayed fractional-order composite systems based on vector Lyapunov function , 2020 .

[2]  P. Spanos,et al.  Steady-state dynamic response of various hysteretic systems endowed with fractional derivative elements , 2019, Nonlinear Dynamics.

[3]  Xiao Liang,et al.  Stochastic averaging technique for SDOF strongly nonlinear systems with delayed feedback fractional-order PD controller , 2018, Science China Technological Sciences.

[4]  YangQuan Chen,et al.  A new collection of real world applications of fractional calculus in science and engineering , 2018, Commun. Nonlinear Sci. Numer. Simul..

[5]  Wei Xu,et al.  Stochastic analysis of monostable vibration energy harvesters with fractional derivative damping under Gaussian white noise excitation , 2018, Nonlinear Dynamics.

[6]  Earl H. Dowell,et al.  Transmissibility of bending vibration of an elastic beam , 2018 .

[7]  Hector Gutierrez,et al.  Resonance Analysis of Fractional-Order Mathieu Oscillator , 2018 .

[8]  P. Spanos,et al.  Approximate survival probability determination of hysteretic systems with fractional derivative elements , 2017, Probabilistic Engineering Mechanics.

[9]  Qiang Liu,et al.  Analysis of the vibration characteristics and adjustment method of boring bar with a variable stiffness vibration absorber , 2017, The International Journal of Advanced Manufacturing Technology.

[10]  Bingsan Chen,et al.  Fractional modeling and analysis of coupled MR damping system , 2016, IEEE/CAA Journal of Automatica Sinica.

[11]  Jan Awrejcewicz,et al.  Ordinary Differential Equations and Mechanical Systems , 2014 .

[12]  Shaopu Yang,et al.  Primary resonance of fractional-order van der Pol oscillator , 2014 .

[13]  Marina V. Shitikova,et al.  On fallacies in the decision between the Caputo and Riemann–Liouville fractional derivatives for the analysis of the dynamic response of a nonlinear viscoelastic oscillator , 2012 .

[14]  C. Drapaca,et al.  A Fractional Model of Continuum Mechanics , 2012 .

[15]  Xiao Mei Liu,et al.  Analysis of Fractional Derivative Model for MR Damping System , 2010 .

[16]  Mohammad Saleh Tavazoei,et al.  Stability criteria for a class of fractional order systems , 2010 .

[17]  F. Mainardi Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models , 2010 .

[18]  Zaid M. Odibat,et al.  Analytic study on linear systems of fractional differential equations , 2010, Comput. Math. Appl..

[19]  Shaopu Yang,et al.  Recent advances in dynamics and control of hysteretic nonlinear systems , 2009 .

[20]  Zichen Chen,et al.  Magnetorheological fluid-controlled boring bar for chatter suppression , 2009 .

[21]  Weihua Deng,et al.  Remarks on fractional derivatives , 2007, Appl. Math. Comput..

[22]  Pankaj Wahi,et al.  Averaging Oscillations with Small Fractional Damping and Delayed Terms , 2004 .

[23]  Julien Clinton Sprott,et al.  Chaos in fractional-order autonomous nonlinear systems , 2003 .

[24]  Min Wang,et al.  On-line chatter detection and control in boring based on an electrorheological fluid , 2001 .

[25]  Marina V. Shitikova,et al.  Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems , 1997 .

[26]  A. M. Abou-Rayan,et al.  Nonlinear response of a parametrically excited buckled beam , 1993 .

[27]  Donald Margolis,et al.  Heave Mode Dynamics of a Tracked Air Cushion Vehicle With Semiactive Airbag Secondary Suspension , 1975 .

[28]  Muhammad Mahbubur Rashid,et al.  International Symposium on Robotics and Intelligent Sensors 2012 ( IRIS 2012 ) Fuzzy-PID Controller for Semi-Active Vibration Control Using Magnetorheological Fluid Damper , 2016 .

[29]  Liu Xiao-me,et al.  Fractional derivative Bingham model of MR damper , 2015 .

[30]  Sadak Ali Khan,et al.  Principles, Characteristics and Applications of Magneto Rheological Fluid Damper in Flow and Shear Mode☆ , 2014 .

[31]  Lin Chang-pin Implicit difference schemes for fractional diffusion equations , 2013 .

[32]  Ivo Petras,et al.  Fractional-Order Nonlinear Systems , 2011 .

[33]  Yuriy A. Rossikhin,et al.  Reflections on Two Parallel Ways in the Progress of Fractional Calculus in Mechanics of Solids , 2010 .

[34]  Yuriy A. Rossikhin,et al.  New Approach for the Analysis of Damped Vibrations of Fractional Oscillators , 2009 .

[35]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[36]  Jon R. Pratt,et al.  Boring bar chatter control , 1998 .

[37]  Steven B. Skaar,et al.  Computational results for a feedback control for a rotating viscoelastic beam , 1994 .

[38]  P. E. Gygax,et al.  Cutting Dynamics and Stability of Boring Bars , 1990 .

[39]  F. A. Leckie,et al.  Creep problems in structural members , 1969 .

[40]  S. I. Meshkov Description of internal friction in the memory theory of elasticity using kernels with a weak singularity , 1967 .

[41]  J. Rabinow The magnetic fluid clutch , 1948, Electrical Engineering.