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Keywords: perturbation theory
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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. January 2012, 7(1): 011003.
Published Online: July 22, 2011
... that induced by a fast base displacement. 13 03 2011 23 05 2011 22 07 2011 22 07 2011 elastic constants harmonic oscillators impact (mechanical) perturbation theory vibrations Hertzian contact vibroimpact fast excitation subharmonic resonance superharmonic resonance...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021007.
Published Online: October 22, 2010
... , 4th ed. , Oxford , New York . 30 10 2009 16 05 2010 22 10 2010 22 10 2010 elasticity finite element analysis gears perturbation theory resonance Planetary gears (Fig. 1 ) are widely used power transmission elements because of their compactness, multiple...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2009, 4(2): 021005.
Published Online: March 6, 2009
... physical systems for the study of their nonlinear dynamics ( 6 7 ). multiple time scales method normal form theory Duffing equation internal resonance spring-mass-pendulum system nonlinear differential equations nonlinear dynamical systems perturbation theory 26 11 2007 23...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2009, 4(1): 011003.
Published Online: November 11, 2008
... stable period-2 subharmonic motion is observed. 25 07 2007 26 03 2008 11 11 2008 bifurcation boundary-value problems integro-differential equations nonlinear equations perturbation theory The dynamic analysis of thin wall beams, commonly encountered in civil...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2008, 3(4): 041003.
Published Online: August 19, 2008
... 0.6518 − 0.4089 0.6604 4.6552 ) 19 06 2007 05 01 2008 19 08 2008 control system analysis discrete time systems nonlinear dynamical systems numerical analysis periodic control perturbation theory robust control time-varying systems Nonlinear...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2008, 3(3): 031010.
Published Online: May 5, 2008
... complex system parametric resonance time delay nonlinear dynamical systems oscillations perturbation theory vibration control 14 07 2007 23 10 2007 05 05 2008 2008 American Society of Mechanical Engineers ...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2007, 2(2): 141–145.
Published Online: October 4, 2006
.... 0022-460X , 167 , pp. 564 – 567 . Stevenson , P. M. , 1981 , “ Optimized Perturbation Theory ,” Phys. Rev. D 0556-2821 10.1103/PhysRevD.23.2916 , 23 , pp. 2916 – 2944 . Amore , P. , and Saenz , R. A. , 2005 , “ The Period of a Classical Oscillator ,” Europhys. Lett...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2006, 1(3): 196–204.
Published Online: February 15, 2006
... and the multi-stability phenomena. Based on the Melnikov’s method, horseshoe chaos is found and its control is made by introducing an external periodic perturbation. 23 07 2005 15 02 2006 chaos nonlinear dynamical systems perturbation theory bifurcation nonlinear response chaos...
