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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 16
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Articles

Boundary stabilization of a hybrid Euler–Bernoulli beam

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Pages 2917-2926 | Received 29 Sep 2018, Accepted 21 Feb 2019, Published online: 04 Mar 2019
 

ABSTRACT

We consider the uniform stabilization of a hybrid model consisting of an Euler–Bernoulli beam with a tip load at the free end of the beam. Our main result proves that the semigroup associated with this model is not exponentially stable. Additionally, we prove that the semigroup decays polynomially to zero as t1 as time goes to infinity.

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2000 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by CNPq 310249/2018-0 (Brazil).

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