an:01789653
Zbl 1042.49036
Hlaváček, Ivan; Lovíšek, Ján
Control in obstacle-pseudoplate problems with friction on the boundary. Optimal design and problems with uncertain data
EN
Appl. Math. 28, No. 4, 407-426 (2001).
1233-7234 1730-6280
2001
j
49Q10 49J40 74K20 74P05 93C30
control of variational inequalities; optimal design; weight minimization; pseudoplate with obstacles; worst scenario; uncertain data
Summary: Four optimal design problems and a weight minimization problem are considered for elastic plates with small bending rigidity, resting on a unilateral elastic foundation, with inner rigid obstacles and a friction condition on a part of the boundary. The state problem is represented by a variational inequality and the design variables influence both the coefficients and the set of admissible state functions. If some input data are allowed to be uncertain a new method of reliable solutions is employed. We prove the existence of a solution to the above-mentioned problems on the basis of a general theorem on the control of variational inequalities.