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Chapter 7: Timoshenko and Sheremetev–Pelekh Beams

      https://doi.org/10.1142/9789814719704_0007Cited by:0 (Source: Crossref)
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      Abstract:

      This chapter deals with the Timoshenko and Sheremetev–Pelekh beam theories and the chaotic vibrations of the beams within the mentioned theories. In both cases the applied assumptions and hypotheses are formulated first, and then the governing PDEs are studied. Numerous examples of chaotic dynamics with the help of classical tools of numerical analysis supported by wavelet transforms and Lyapunov exponents (LEs) computations are reported.