Geodesic
Optimal design of laminated plate with obstacle
Applications of Mathematics, Tome 37 (1992) no. 5, pp. 321-342 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/AM.1992.104514
Classification : 49A27, 49A29, 49A34, 49J40, 49J45, 49N70, 49N75, 49Q10, 49Q20, 73K10, 74K20, 74M05
Keywords: optimal control; variational inequality; convex set; laminated plate; thickness-function; rigid obstacle; optimal design in mechanics; elastic laminate plate 
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Lovíšek, Ján. Optimal design of laminated plate with obstacle. Applications of Mathematics, Tome 37 (1992) no. 5, pp. 321-342. doi: 10.21136/AM.1992.104514

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