Minimum weight design of composite floors under human induced vibrations

Abstract

The paper is concerned with a minimum weight design of composite floors subjected to dynamic loading, deriving from the rhythmic activity of a group of people. The floor structure consists of concrete slab cast, on thick trapezoidal deck, which is supported by a grid of steel beams. The structure is vibration-prone and exhibits a number of natural frequencies, which are within a range of loading function. Mini-mum weight design consists in assigning, from catalogues of prefabricated plates and beams appropriate elements assuring fulfillment of imposed constraints on dis-placements and accelerations. Applied, practical discrete optimization method is based on graph theory and finite element analysis. Efficiency of the proposed de-sign is demonstrated in an example of real-world engineering structure.

Optimum Design of Fully Composite, Unstiffened, Built-Up, Hybrid Steel Girder Using GRG, NLR, and ANN Techniques

“…Victoria E. Ros ¸ca et al [14] presented an optimization technique for composite beams design according to EN-1994-1-1/2006 using Nonlinear Programming (NLP) approach. Blachowski and W. Gutkowski [15] estimated the minimum weight of steel in composite floors to satisfy the design requirements under human induced vibrations. Roland Abspoel and Frans Bijlaard [16] suggested a new optimized design strategy for both hybrid and nonhybrid plate girder based on experimental and theoretical studies.…”

Density and Strength of Foamed Concrete: The Influence on Dynamic Characteristics of Lightweight Profiled Composite Slabs

“…This investigation signifies that the dynamic characteristics, particularly the natural frequency fully dependent on the mass of slab. In the case where the minimum thickness and span become subject of interest in the design of composite slab, Blackhowski & Gutkowski [20] proposed the discrete optimization method that can be simplified and automated. On the other hand, Sanchez et al [21] tested the serviceability of composite slab under vibration.…”