Numerical analysis and simulation for Rayleigh beam equation with dynamical boundary controls
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DOI: 10.1007/s40065-021-00310-8
Abstract: In this paper, the Rayleigh beam system with two dynamical boundary controls is treated. Theoretically, the well-posedness of the weak solution is obtained. Later, we discretize the system by using the Implicit Euler scheme in… read more here.
Keywords: dynamical boundary; numerical analysis; rayleigh beam; boundary controls ... See more keywords
Non-rotating beams isospectral to rotating Rayleigh beams
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DOI: 10.1016/j.ijmecsci.2018.04.049
Abstract: Abstract In this paper, we establish spectral equivalence between certain non-uniform rotating Rayleigh beams and a given uniform Rayleigh beam, and also between non-uniform non-rotating Rayleigh beams and a given uniform rotating Rayleigh beam. Spectrally… read more here.
Keywords: rotating beams; rotating rayleigh; non rotating; beams isospectral ... See more keywords
Isospectrals of non-uniform Rayleigh beams with respect to their uniform counterparts
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DOI: 10.1098/rsos.171717
Abstract: In this paper, we look for non-uniform Rayleigh beams isospectral to a given uniform Rayleigh beam. Isospectral systems are those that have the same spectral properties, i.e. the same free vibration natural frequencies for a… read more here.
Keywords: uniform rayleigh; uniform beam; rayleigh beam; non uniform ... See more keywords