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

Leugering G, Rathmann W (2001)

Publication Status: Published

Publication Type: Conference contribution

Publication year: 2001

Journal

PARTIAL DIFFERENTIAL EQUATIONS ON MULTISTRUCTURES, PROCEEDINGS

Book Volume: 218

Pages Range: 199-232

Abstract

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.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik Wigand Rathmann Lehrstuhl für Angewandte Mathematik

How to cite

APA:

Leugering, G., & Rathmann, W. (2001). On modeling, analysis and simulation of optimal control problems for dynamic networks of Euler-Bernoulli- and Rayleigh-beams. (pp. 199-232).

MLA:

Leugering, Günter, and Wigand Rathmann. "On modeling, analysis and simulation of optimal control problems for dynamic networks of Euler-Bernoulli- and Rayleigh-beams." 2001. 199-232.

BibTeX: Download