| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 110 | |
| Number of page(s) | 24 | |
| DOI | https://doi.org/10.1051/cocv/2020036 | |
| Published online | 10 December 2020 | |
Uniform exponential stabilisation of serially connected inhomogeneous Euler-Bernoulli beams*
Technische Universität Darmstadt, Fachbereich Mathematik, Mathematische Modellierung und Analysis, Schlossgartenstr. 7,
64289
Darmstadt, Germany.
** Corresponding author: augner@mma.tu-darmstadt.de
Received:
13
May
2019
Accepted:
14
June
2020
We consider a chain of Euler-Bernoulli beams with spatial dependent mass density, modulus of elasticity and area moment which are interconnected in dissipative or conservative ways and prove uniform exponential energy decay of the coupled system for suitable dissipative boundary conditions at one end and suitable conservative boundary conditions at the other end. We thereby generalise some results of G. Chen, M.C. Delfour, A.M. Krall and G. Payre from the 1980’s to the case of spatial dependence of the parameters.
Mathematics Subject Classification: 93D15 / 35B35 / 35G46 / 34B09
Key words: Euler-Bernoulli beam / inhomogeneous distributed parameter systems / serially connected beams / exponential stabilisation / frequency domain method
© EDP Sciences, SMAI 2020
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