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Dynamics of Closed Flexible Cylindrical Shells

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Chaos in Structural Mechanics

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

Complex vibrations of closed cylindrical shells of infinite length and circular cross section subjected to transversal local load in the frame of the classical non-linear theory are studied. A transition from partial differential equations (PDEs) to ordinary differential equations (ODEs) is carried out using a higher order Bubnov-Galerkin approach and Fourier representation. On the other hand, the Cauchy problem is solved using the fourth-order Runge-Kutta method.

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Correspondence to Jan Awrejcewicz .

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© 2008 Springer-Verlag Berlin Heidelberg

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Awrejcewicz, J., Krysko, V.A. (2008). Dynamics of Closed Flexible Cylindrical Shells. In: Chaos in Structural Mechanics. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77676-5_11

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  • DOI: https://doi.org/10.1007/978-3-540-77676-5_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77675-8

  • Online ISBN: 978-3-540-77676-5

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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