Control in obstacle-pseudoplate problems with friction on the boundary. optimal design and problems with uncertain data
Volume 28 / 2001
Applicationes Mathematicae 28 (2001), 407-426
MSC: 49J40, 74K20, 74P05, 93C30.
DOI: 10.4064/am28-4-3
Abstract
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.
