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- W2796865833 abstract "Bending vibrations of thin beams and plates may be described by nonlinear Euler-Bernoulli beam equations with $x$-dependent coefficients. In this paper we investigate existence of families of time-periodic solutions to such a model using Lyapunov-Schmidt reduction and a differentiable Nash-Moser iteration scheme. The results hold for all parameters $(epsilon,omega)$ in a Cantor set with asymptotically full measure as $epsilonrightarrow0$." @default.
- W2796865833 created "2018-04-24" @default.
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- W2796865833 date "2018-04-09" @default.
- W2796865833 modified "2023-09-23" @default.
- W2796865833 title "Periodic Solutions to Nonlinear Euler-Bernoulli Beam Equations" @default.
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- W2796865833 doi "https://doi.org/10.48550/arxiv.1804.03300" @default.
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