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On modeling, analysis and simulation of optimal control problems for dynamic networks of Euler-Bernoulli and Rayleigh-beams

Title data

Leugering, Günter ; Rathmann, Wigand:
On modeling, analysis and simulation of optimal control problems for dynamic networks of Euler-Bernoulli and Rayleigh-beams.
In: Chen, Goong ; Lasiecka, Irena ; Zhou, Jianxin (ed.): Control of nonlinear distributed parameter systems. - New York : Dekker , 2001 . - pp. 199-232 . - (Lecture Notes in Pure and Applied Mathematics ; 218 )
ISBN 0-8247-0564-5

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Abstract in another language

We consider a network of Euler-Bernoulli and Rayleigh beams. For the sake of simplicity, we concentrate on scalar displacements coupled to torsion. We show that the model is well-posed in appropriate ramification spaces. We then describe a dynamic nonoverlapping domain decomposition procedure of the network into its individual edges and provide a proof of convergence. Further, we formulate typical optimal control problems, related to exact controllability. The optimality system is solved using conjugate gradients. Various numerical examples illustrate the method.

Further data

Item Type: Article in a book
Refereed: Yes
Keywords: Network models; Euler-Bernoulli- and Rayleigh-beams; Nonoverlapping domain decomposition procedure; Convergence; Optimal control
Subject classification: Mathematics Subject Classification Code: 49M27 (74K10 74M05 93C20)
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science
Result of work at the UBT: Yes
DDC Subjects: 500 Science
500 Science > 500 Natural sciences
500 Science > 510 Mathematics
Date Deposited: 23 Feb 2021 09:59
Last Modified: 23 Mar 2021 09:13
URI: https://eref.uni-bayreuth.de/id/eprint/63329