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Published in 2017 at "Applied Mathematics and Mechanics"
DOI: 10.1007/s10483-017-2170-9
Abstract: In this paper, transverse vibration of an axially moving beam supported by a viscoelastic foundation is analyzed by a complex modal analysis method. The equation of motion is developed based on the generalized Hamilton’s principle.…
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Keywords:
vibration;
foundation;
moving beam;
vibration axially ... See more keywords
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Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06389-0
Abstract: This paper investigates the forced vibration and dynamic stability of a simply supported axially moving beam coupled to a nonlinear energy sink with the aim of passive vibration control. The equations of motion of the…
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Keywords:
vibration;
energy sink;
moving beam;
beam ... See more keywords
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Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3124754
Abstract: This article deals with, in the framework of absolute stability, boundary stabilization for a nonlinear axially moving beam under boundary velocity feedback controls. The nonlinear boundary control that satisfies a slope-sector condition covering many types…
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Keywords:
control;
nonlinear axially;
axially moving;
stability ... See more keywords
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Published in 2025 at "International Journal of Structural Stability and Dynamics"
DOI: 10.1142/s0219455427501501
Abstract: As one of the most critical dynamic systems, axially moving beam structures are widely used in modern industry. Various engineering systems can be simplified as axially moving beams and their coupled systems, and controlling their…
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Keywords:
axially moving;
beam;
moving beam;
dynamic behavior ... See more keywords
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Published in 2024 at "Mathematics"
DOI: 10.3390/math12172608
Abstract: In this work, quasi-periodic and periodic vibration responses of an axially moving beam are analytically investigated under multiple-frequency excitation. The governing equation is transformed into a nonlinear differential equation by applying the Galerkin method. A…
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Keywords:
periodic periodic;
axially moving;
quasi periodic;
moving beam ... See more keywords