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6 - Introduction to Nonlinear Dynamics

Published online by Cambridge University Press:  25 October 2018

Marco Amabili
Affiliation:
McGill University, Montréal
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Publisher: Cambridge University Press
Print publication year: 2018

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References

Amabili, M. 2005 International Journal of Non-Linear Mechanics 40, 683710. Non-linear vibrations of doubly curved shallow shells.CrossRefGoogle Scholar
Amabili, M., Pellicano, F., Vakakis, A. F. 2000 ASME Journal of Vibration and Acoustics 122, 346354. Nonlinear vibrations and multiple resonances of fluid-filled, circular shells, Part 1: equations of motion and numerical results.CrossRefGoogle Scholar
Argyris, J., Faust, G., Haase, M. 1994 An Exploration of Chaos. North-Holland, Amsterdam, The Netherlands.Google Scholar
Doedel, E. J., Champneys, A. R., Fairgrieve, T. F., Kuznetsov, Y. A., Sandstede, B., Wang, X. 1998 AUTO 97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont). Concordia University, Montreal, Canada.Google Scholar
Duffing, G. 1918 Erzwungene Schwingungen bei veranderlicher Eigenfrequenz ihre Technische Bedeutung. Vieweg, Braunschweig, Germany.Google Scholar
Moon, F. C. 1992 Chaotic and Fractal Dynamics. Wiley, New York, USA.CrossRefGoogle Scholar
Nayfeh, A. H., Balachandran, B. 1995 Applied Nonlinear Dynamics. Wiley, New York, USA.CrossRefGoogle Scholar
Schmidt, G., Tondl, A. 1986 Non-linear Vibrations. Cambridge University Press, Cambridge, UK.CrossRefGoogle Scholar

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  • Introduction to Nonlinear Dynamics
  • Marco Amabili, McGill University, Montréal
  • Book: Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
  • Online publication: 25 October 2018
  • Chapter DOI: https://doi.org/10.1017/9781316422892.008
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  • Introduction to Nonlinear Dynamics
  • Marco Amabili, McGill University, Montréal
  • Book: Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
  • Online publication: 25 October 2018
  • Chapter DOI: https://doi.org/10.1017/9781316422892.008
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction to Nonlinear Dynamics
  • Marco Amabili, McGill University, Montréal
  • Book: Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
  • Online publication: 25 October 2018
  • Chapter DOI: https://doi.org/10.1017/9781316422892.008
Available formats
×