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Non-probabilistic modelling and design of sandwich plates subject to uncertain loads and initial deflections. (English) Zbl 0899.73218

Summary: Analysis and design of simply supported sandwich plates are given under uncertain loading and initial conditions by means of convex modelling. The transverse load and initial conditions are allowed to vary arbitrarily around their average values, but the uncertain components of these functions are required to be bounded in \(L_2\) norm and expressed using a finite number of terms. The effect of uncertainties in loading and initial conditions on bending and design are investigated and the least favourable deflections and the corresponding uncertainty functions are determined. The design problem involves the computation of the minimum thickness of the surface layers such that the least favourable deflection does not exceed a given bound under a specified level of uncertainty in loading and/or initial conditions. Design for minimum thickness is given subject to buckling and material failure constraints.

MSC:

74K20 Plates
74E30 Composite and mixture properties
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