Abstract
This chapter will present a nonlinear plate theory from three-dimensional elastic theory, and the approximate theories of thin plates will be discussed. From such a theory, approximate solutions for nonlinear waves in traveling plates and rotating disks will be presented. In addition, stationary and resonant waves in the traveling plates and rotating disks will be discussed. Finally, chaotic waves in traveling plates under periodic excitation will be presented.
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Luo, A.C.J. (2010). Nonlinear Plates and Waves. In: Nonlinear Deformable-body Dynamics. Nonlinear Physical Science, vol 0. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12136-4_6
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DOI: https://doi.org/10.1007/978-3-642-12136-4_6
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