Problem Of Determination Of Optimal Supports Position For Jumbo Flat Glass With Free Edges

Recent trends in architecture are characterised with wide application of laminated glass plates in facing systems of high-rise buildings, where the plates are oriented in both vertical and horizontal planes. This paper deals with the mathematical description of optimisation problem for location of finite number of rigid supports horizontally placed on jumbo flat glass plate with free edges. Associated state problem corresponding to Kirchoff's hypothesis of plate theory is solved. Further the optimisation problem for finding location of the finite number of rigid supports, with respect to the condition for minimal deflection of the plate in the sense of C1-norm, is solved.