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Keywords: Chebyshev approximation
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011011.
Published Online: October 5, 2011
...-technique to solve the static and free vibration problems of anisotropic plates. free vibration analysis damaged boundary rectangular plate Chebyshev collocation perturbation method boundary-value problems Chebyshev approximation convergence of numerical methods perturbation theory...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2011, 6(4): 041003.
Published Online: March 22, 2011
... and Bifurcation Surfaces for Nonlinear Time-Periodic Systems ,” Nonlinear Dyn. 0924-090X , 17 , pp. 1 – 21 . 10.1023/A:1008284325276 21 07 2010 02 02 2011 22 03 2011 22 03 2011 Chebyshev approximation least squares approximations nonlinear dynamical systems time-varying...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2009, 4(3): 031001.
Published Online: May 19, 2009
... is shown in Fig. 8 . States of the original system States of the error dynamics 28 01 2008 23 12 2008 19 05 2009 Chebyshev approximation control system synthesis large-scale systems linear systems Lyapunov methods nonlinear control systems observers...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2009, 4(3): 031003.
Published Online: May 19, 2009
... coefficients, in general the stability criteria of periodic DDE systems cannot be given in a closed form, and an approximation method is needed. Chebyshev approximation cutting differential equations machining chatter mechanical stability milling polynomial approximation vibrations 30 01...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2007, 2(1): 32–39.
Published Online: September 26, 2006
... motion control stability Lyapunov methods Chebyshev approximation polynomials iterative methods The operation of periodic mechanical systems depends, among other things, on two effects: the dissipation (damping) and the excitation. The dissipation is usually produced by friction...