Corpus ID: 235458658

# On the stability of the stretched Euler-Bernoulli beam on a star-shaped graph

@inproceedings{Mahinzaeim2021OnTS,
title={On the stability of the stretched Euler-Bernoulli beam on a star-shaped graph},
author={Mahyar Mahinzaeim and Genqi Xu and Hai Zhang},
year={2021}
}
• Published 2021
• Mathematics, Physics
We deal with the as yet unresolved exponential stability problem for a stretched Euler–Bernoulli beam on a star-shaped geometric graph with three edges. The edges are hinged with respect to the boundary vertices. The inner vertex is capable of both translation and rotation, the latter of which is subject to a combination of elastic and frictional effects. We present detailed results on the properties of the linear monic operator pencil associated with the spectral problem in Hilbert space… Expand

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