Dynamic input estimation and shape sensing for a nonlinear beam based on distributed fiber bragg grating sensor network
Sign Up to like & getrecommendations! Published in 2018 at "Optik"
DOI: 10.1016/j.ijleo.2017.12.045
Abstract: Abstract In the area of structural health monitoring, input estimation and shape sensing play an important role. This paper proposes a method to estimate dynamic input and reconstruct dynamic shape at the same time for… read more here.
Keywords: nonlinear beam; shape; dynamic input; input estimation ... See more keywords
Quasi-periodic solutions to nonlinear beam equations on compact Lie groups with a multiplicative potential
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DOI: 10.1016/j.jde.2018.02.005
Abstract: The goal of this work is to study the existence of quasi-periodic solutions in time to nonlinear beam equations with a multiplicative potential. The nonlinearities are required to only finitely differentiable and the frequency is… read more here.
Keywords: multiplicative potential; nonlinear beam; periodic solutions; beam equations ... See more keywords
Nonlinear beam tapering and two-dimensional ring solitons.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.054205
Abstract: We examine a possibility to exploit the nonlinear lens effect-the initial stage of self-focusing to localize initially broad field distribution into the small central area where wave collapse is arrested-the nonlinear beam tapering. We describe… read more here.
Keywords: two dimensional; beam tapering; nonlinear beam; tapering two ... See more keywords
Sharp criteria of blow-up solutions for the cubic nonlinear beam equation
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DOI: 10.1186/s13661-019-1149-5
Abstract: In this paper, we obtain the precisely sharp criteria of blow-up and global existence for the cubic nonlinear beam equation in the H2$H^{2}$ energy-critical and H2$H^{2}$ sub-critical cases, respectively. read more here.
Keywords: sharp criteria; criteria blow; nonlinear beam; cubic nonlinear ... See more keywords