Gajewski, T.; Staszak, N.; Garbowski, T. Optimal Design of Bubble Deck Concrete Slabs: Serviceability Limit State. Materials2023, 16, 4897.
Gajewski, T.; Staszak, N.; Garbowski, T. Optimal Design of Bubble Deck Concrete Slabs: Serviceability Limit State. Materials 2023, 16, 4897.
Gajewski, T.; Staszak, N.; Garbowski, T. Optimal Design of Bubble Deck Concrete Slabs: Serviceability Limit State. Materials2023, 16, 4897.
Gajewski, T.; Staszak, N.; Garbowski, T. Optimal Design of Bubble Deck Concrete Slabs: Serviceability Limit State. Materials 2023, 16, 4897.
Abstract
In engineering practice, one can often encounter issues related to optimization where the goal is to minimize material consumption, minimize stresses or deflections of the structure. In most cases, these issues are addressed with finite element analysis software and simple optimization algorithms. However, in the case of optimization of certain structures, it is not co straightforward. An example of such constructions are bubble deck ceilings, where in order to reduce the dead weight, air cavities are used, which are regularly arranged over the entire surface of the ceiling. In the case of these slabs, the flexural stiffness is not constant in all its cross-sections, which means that the use of structural finite elements (plate or shell) for static calculations is not possible, and therefore the optimization process becomes more difficult. The paper presents a minimization procedure of the weight of bubble deck slabs using numerical homogenization and sequential quadratic programming with constraints. Homogenization allows to determine the effective stiffnesses of the floor, which in the next step are sequentially corrected by changing the geometrical parameters of the floor and voids in order to achieve the assumed deflection. The presented procedure allows to minimize the use of material in a quick and effective way by automatically determining the optimal parameters describing the geometry of the bubble deck floor cross-section.
Copyright:
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