• Corpus ID: 235458658

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

  title={On the stability of the stretched Euler-Bernoulli beam on a star-shaped graph},
  author={Mahyar Mahinzaeim and Gen Qi Xu and Hai Zhang},
. We deal with the as yet unresolved exponential stability problem for a stretched Euler–Bernoulli beam on a star-shaped metric graph with three identical edges. The edges are hinged with respect to the outer 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 asymptotic distribution and structure of the spectrum of the linear operator associated with the… 
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