Regularized Optimal Design Problem for a Viscoelastic Plate Vibrating Against a Rigid Obstacle

Abstract : We deal with a regularized optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing behaviour of a viscoelastic plate vibrating against a rigid obstacle. A variable thickness of a plate plays the role of a control variable. The original problem for the deflection is regularized in order to have the uniqueness of a solution to the state problem and only the existence of an optimal thickness but also necessary optimality conditions.
Document type :
Conference papers
Complete list of metadatas

Cited literature [9 references]  Display  Hide  Download

https://hal.inria.fr/hal-01626915
Contributor : Hal Ifip <>
Submitted on : Tuesday, October 31, 2017 - 2:41:23 PM
Last modification on : Tuesday, October 31, 2017 - 2:44:53 PM
Long-term archiving on : Thursday, February 1, 2018 - 1:24:23 PM

File

447583_1_En_11_Chapter.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

Igor Bock. Regularized Optimal Design Problem for a Viscoelastic Plate Vibrating Against a Rigid Obstacle. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.127-136, ⟨10.1007/978-3-319-55795-3_11⟩. ⟨hal-01626915⟩

Share

Metrics

Record views

50

Files downloads

82