Leugering G, Rathmann W (2001)
Publication Status: Published
Publication Type: Conference contribution
Publication year: 2001
Book Volume: 218
Pages Range: 199-232
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.
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.
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