Stability Analysis Method for Periodic Delay Differential Equations with Multiple Distributed and Time-Varying Delays
暂无分享,去创建一个
Gang Jin | Jianxin Han | Houjun Qi | Hua Li | Zhanjie Li | Zhang Xinyu | Zhang Kaifei | Zhanjie Li | Kaifei Zhang | Jianxin Han | H. Qi | G. Jin | Hua Li | Xinyu Zhang
[1] C. Hsu,et al. Stability Criteria for Second-Order Dynamical Systems With Time Lag , 1966 .
[2] Qichang Zhang,et al. Stability prediction of milling process with variable pitch and variable helix cutters , 2014 .
[3] Neil D. Sims,et al. Analytical prediction of chatter stability for variable pitch and variable helix milling tools , 2008 .
[4] Gábor Stépán,et al. Semi‐discretization method for delayed systems , 2002 .
[5] Qichang Zhang,et al. Stability prediction for milling process with multiple delays using an improved semi‐discretization method , 2016 .
[6] Haitao Ma,et al. Stability of linear time‐periodic delay‐differential equations via Chebyshev polynomials , 2004 .
[7] Gilles Dessein,et al. On the stability of high-speed milling with spindle speed variation , 2010 .
[8] Jianxin Han,et al. Dynamic modeling and stability analysis for the combined milling system with variable pitch cutter and spindle speed variation , 2018, Commun. Nonlinear Sci. Numer. Simul..
[10] P. Niamsup,et al. Delay-Dependent Robust H∞ Performance for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations , 2018, Mathematical Problems in Engineering.
[12] Berend Denkena,et al. Stable islands in the stability chart of milling processes due to unequal tooth pitch , 2011 .
[13] Keith Ridgway,et al. Modelling of the stability of variable helix end mills , 2007 .
[14] Tamás Insperger,et al. Full-discretization and semi-discretization for milling stability prediction: Some comments , 2010 .
[15] Gábor Stépán,et al. State Dependent Regenerative Delay in Milling Processes , 2005 .
[16] Nejat Olgac,et al. Dynamics and Stability of Variable-pitch Milling , 2007 .
[17] Gang Jin,et al. A frequency-domain solution for efficient stability prediction of variable helix cutters milling , 2014 .
[18] Ye Ding,et al. Variable-step integration method for milling chatter stability prediction with multiple delays , 2011 .
[19] Gábor Stépán,et al. Updated semi‐discretization method for periodic delay‐differential equations with discrete delay , 2004 .
[20] Yusuf Altintas,et al. Analytical Stability Prediction and Design of Variable Pitch Cutters , 1998, Manufacturing Science and Engineering.
[21] Zoltan Dombovari,et al. The Effect of Helix Angle Variation on Milling Stability , 2012 .
[22] Han Ding,et al. A full-discretization method for prediction of milling stability , 2010 .
[24] Neil D. Sims,et al. Optimisation of variable helix tool geometry for regenerative chatter mitigation , 2011 .
[25] Zoltan Dombovari,et al. The effect of serration on mechanics and stability of milling cutters , 2010 .
[26] Min Wan,et al. A unified stability prediction method for milling process with multiple delays , 2010 .
[27] B. Mann,et al. Stability of Interrupted Cutting by Temporal Finite Element Analysis , 2003 .
[28] A. Galip Ulsoy,et al. Delay differential equations via the matrix Lambert W function and bifurcation analysis: application to machine tool chatter. , 2007, Mathematical biosciences and engineering : MBE.
[29] Gábor Stépán,et al. Semi-Discretization for Time-Delay Systems: Stability and Engineering Applications , 2011 .
[30] E. Dowell,et al. The High Dimensional Harmonic Balance Analysis of a Second-Order Delay-Differential Equations , 2007 .
[31] Erhan Budak,et al. An analytical design method for milling cutters with nonconstant pitch to increase stability, Part I: Theory , 2003 .
[32] Firas A. Khasawneh,et al. Stability of delay integro-differential equations using a spectral element method , 2011, Math. Comput. Model..
[33] Pankaj Wahi,et al. Galerkin Projections for Delay Differential Equations , 2005 .
[34] K. Mukdasai,et al. A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation , 2020, Mathematics.
[35] Gábor Stépán,et al. Extension of the spectral element method for stability analysis of time-periodic delay-differential equations with multiple and distributed delays , 2016, Commun. Nonlinear Sci. Numer. Simul..
[36] Nejat Olgac,et al. “Delay Scheduling”: A New Concept for Stabilization in Multiple Delay Systems , 2005 .