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Nonlinear Modeling for Large Deflections of Beams, Plates, and Shallow Shells

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Vibrations of Elastic Plates
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Abstract

In the remaining chapters in this book, we shall extend our treatment to nonlinear vibrations of thin structures that involve large deflections. Nonlinear dynamical modeling for such structures is introduced in the present chapter. This is followed in Chapter 8 with discussions of nonlinear vibrations of layered beams and plates, again including both sandwiches and laminated composites. Chaotic vibrations of elastic beams are then explored in Chapter 9. Finally, in Chapter 10, nonlinear dynamical modeling for large deflections of piezoelectric plates is treated.

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© 1996 Springer-Verlag New York, Inc.

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Yu, YY. (1996). Nonlinear Modeling for Large Deflections of Beams, Plates, and Shallow Shells. In: Vibrations of Elastic Plates. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2338-2_7

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  • DOI: https://doi.org/10.1007/978-1-4612-2338-2_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7509-1

  • Online ISBN: 978-1-4612-2338-2

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