Abstract

Metal roof sheathings are widely employed in large-span buildings because of their light weight, high strength and corrosion resistance. However, their severe working environment may lead to deformation, leakage and wind-lift, etc. Thus, predicting these damages in advance and taking maintenance measures accordingly has become important to avoid economic losses and personal injuries. Conventionally, the health monitoring of metal roofs mainly relies on manual inspection, which unavoidably compromises the working efficiency and cannot diagnose and predict possible failures in time. Thus, we proposed a novel damage monitoring scheme implemented by laying bend sensors on vital points of metal roofs to precisely monitor the deformation in real time. A fast reconstruction model based on improved Levy-type solution is established to estimate the overall deflection distribution from the measured data. A standing seam metal roof under wind pressure is modeled as an elastic thin plate with a uniform load and symmetrical boundaries. The superposition method and Levy solution are adopted to obtain the analytical model that can converge quickly through simplifying an infinite series. The truncation error of this model is further analyzed. Simulation and experiments are carried out. They show that the proposed model is in reasonable agreement with the experimental results.

Highlights

  • Metal roof sheathings are generally assembled from cold-formed steel with insulation, sound-absorbing insulation and waterproof materials

  • Metal roof panels can be modeled as a kind of elastic thin plate structure and the governing equations are solved with some simplified boundary conditions

  • To analyze the deflection of the metal roof based on thin plate bending theory, the Kirchhoff hypothesis [29] is adopted as follows: (1) the thickness of the plate is much smaller than the hypothesis [29] is adopted as follows: (1) the thickness of the plate is much smaller than the horizontal horizontal and vertical dimensions; the density of the structure is constant throughout; (2) before and vertical dimensions; the density of the structure is constant throughout; (2) before the thin plate the thin plate deforms, a straight line is perpendicular to the middle plane

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Summary

Introduction

Metal roof sheathings are generally assembled from cold-formed steel with insulation, sound-absorbing insulation and waterproof materials Due to their advantages of light weight, high strength, flexible design, unique shape and installation convenience, they are widely employed in large-span steel-structure buildings such as exhibition buildings, performing arts centers, transportation hubs, sports stadiums and production plants [1,2]. The main materials of metal roof systems include aluminum-magnesium-manganese (Al-Mn-Mg) alloy plate, titanium zinc plate and stainless steel with high strength and corrosion resistance. In their complex natural environment metal roof sheathings suffer the effects of wind, rain, snow, wind loads and thermal changes, leading to structural deformation, material fatigue, loose bolts and other possible failures.

Beijing
A Fast Reconstruction Model for the Deflection Distribution of Metal Roof
Governing Equations for Deflection Deformation of Thin Plate q dx dy z
Deflection Calculation of Part I
Deflection Calculation of Part II
Analysis of Model Error
Simulations and Experiments
Simulation and Discussions
Figures and
Experimental
Discussion
Conclusions
Full Text
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