Optimal design of laminated plate with obstacle

Ján Lovíšek

Applications of Mathematics (1992)

  • Volume: 37, Issue: 5, page 321-342
  • ISSN: 0862-7940

Abstract

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The aim of the present paper is to study problems of optimal design in mechanics, whose variational form is given by inequalities expressing the principle of virtual power in its inequality form. The elliptic, linear symmetric operators as well as convex sets of possible states depend on the control parameter. The existence theorem for the optimal control is applied to design problems for an elastic laminated plate whose variable thickness appears as a control variable.

How to cite

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Lovíšek, Ján. "Optimal design of laminated plate with obstacle." Applications of Mathematics 37.5 (1992): 321-342. <http://eudml.org/doc/15719>.

@article{Lovíšek1992,
abstract = {The aim of the present paper is to study problems of optimal design in mechanics, whose variational form is given by inequalities expressing the principle of virtual power in its inequality form. The elliptic, linear symmetric operators as well as convex sets of possible states depend on the control parameter. The existence theorem for the optimal control is applied to design problems for an elastic laminated plate whose variable thickness appears as a control variable.},
author = {Lovíšek, Ján},
journal = {Applications of Mathematics},
keywords = {optimal control; variational inequality; convex set; laminated plate; thickness-function; rigid obstacle; optimal design in mechanics; elastic laminate plate; rigid obstacle; optimal design in mechanics; elastic laminate plate},
language = {eng},
number = {5},
pages = {321-342},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Optimal design of laminated plate with obstacle},
url = {http://eudml.org/doc/15719},
volume = {37},
year = {1992},
}

TY - JOUR
AU - Lovíšek, Ján
TI - Optimal design of laminated plate with obstacle
JO - Applications of Mathematics
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 5
SP - 321
EP - 342
AB - The aim of the present paper is to study problems of optimal design in mechanics, whose variational form is given by inequalities expressing the principle of virtual power in its inequality form. The elliptic, linear symmetric operators as well as convex sets of possible states depend on the control parameter. The existence theorem for the optimal control is applied to design problems for an elastic laminated plate whose variable thickness appears as a control variable.
LA - eng
KW - optimal control; variational inequality; convex set; laminated plate; thickness-function; rigid obstacle; optimal design in mechanics; elastic laminate plate; rigid obstacle; optimal design in mechanics; elastic laminate plate
UR - http://eudml.org/doc/15719
ER -

References

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