ArticleScientific reports2022
Vibration control of a nonlinear cantilever beam operating in the 3D space.
Article in Scientific reports, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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0 citing papers in PubMed, 14 citations in OpenAlex.
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Authors and funding
4 authors at 3 institutions in 2 countries.
Funding
Abstract
This paper addresses a control problem of a nonlinear cantilever beam with translating base in the three-dimensional space, wherein the coupled nonlinear dynamics of the transverse, lateral, and longitudinal vibrations of the beam and the base's motions are considered. The control scheme employs two control inputs applied to the beam's base to control the base's position while simultaneously suppressing the beam's transverse, lateral, and longitudinal vibrations. According to the Hamilton principle, a hybrid model describing the nonlinear coupling dynamics of the beam and the base is established: This model consists of three partial differential equations representing the beam's dynamics and two ordinary differential equations representing the base's dynamics. Subsequently, the control laws are designed to move the base to the desired position and attenuate the beam's vibrations in all three directions. The asymptotic stability of the closed-loop system is proven via the Lyapunov method. Finally, the effectiveness of the designed control scheme is illustrated via the simulation results.
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Registered trials
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