Control in obstacle-pseudoplate problems with friction on the boundary. optimal design and problems with uncertain data

• Autorzy: Ivan Hlaváček , Ján Lovíšek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 74P05: Compliance or weight optimization
• 74K20: Plates
• 93C30: Systems governed by functional relations other than differential equations (such as hybrid and switching systems)
• 49J40: Variational methods including variational inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2001
• Tom: 28
• Numer: 4
• Strony: 407-426

Daty

wydano

2001

Twórcy

autor

Ivan Hlaváček

• Mathematical Institute, Academy of Sciences of the Czech Republic, Žitná 25, CZ-115 67 Praha 1, Czech Republic

autor

Ján Lovíšek

• Faculty of Civil Engineering, Slovak Technical University, Radlinského 11, SK-813 68 Bratislava, Slovak Republic
• Institute of Computer Science, Pod vodárenskou věží 2, CZ-182 07 Praha 8, Czech Republic

Identyfikatory

DOI

10.4064/am28-4-3