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Control in obstacle-pseudoplate problems with friction on the boundary. Optimal design and problems with uncertain data. (English) Zbl 1042.49036
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.
Reviewer: Reviewer (Berlin)

MSC:
49Q10 Optimization of shapes other than minimal surfaces
49J40 Variational inequalities
74K20 Plates
74P05 Compliance or weight optimization in solid mechanics
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
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