Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 866-877
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V. G. Litvinov. Optimal control of the natural frequency of a plate of variable thickness. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 866-877. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a7/
@article{ZVMMF_1979_19_4_a7,
author = {V. G. Litvinov},
title = {Optimal control of~the natural frequency of~a~plate of~variable thickness},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {866--877},
year = {1979},
volume = {19},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a7/}
}
TY - JOUR
AU - V. G. Litvinov
TI - Optimal control of the natural frequency of a plate of variable thickness
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1979
SP - 866
EP - 877
VL - 19
IS - 4
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a7/
LA - ru
ID - ZVMMF_1979_19_4_a7
ER -
%0 Journal Article
%A V. G. Litvinov
%T Optimal control of the natural frequency of a plate of variable thickness
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1979
%P 866-877
%V 19
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a7/
%G ru
%F ZVMMF_1979_19_4_a7
Plate shape optimization is considered, such that the fundamental frequency of the plate is a maximum for given lower and upper bounds on the weight and thickness of the plate. The existence of an optimal control is proved, and the solutions of the appropriate finite-dimensional problems are shown to be convergent to the solution of the initial infinite-dimensional optimal control problem.
