Abstract
In order to monitor and forecast the deformation of the brick-concrete building, by taking a brick-concrete building as research object, fiber grating sensors were used to collect the monitoring data and double logarithmic curve of limit value characteristic and monitoring data were obtained based on the fractal theory. Constant dimension fractal method cannot be used to analyze the data directly. With the method of variable dimension fractal, we accumulate data, and the double logarithmic curve is smooth. Piecewise fractal dimensions are close. The outer interpolation method is used to calculate the fractal dimension of the next point and then back calculate the vertical displacement. The relative errors are calculated by comparing the forecast values and monitoring values, and the maximum relative error is 5.76%. The result shows that the fractal theory is suitable to use in the forecast of the deformation and the accuracy is good.
Highlights
IntroductionIn China, the structure is generally divided into brick-concrete building, post and panel structure, and reinforced concrete structure, and these buildings during service are bound to produce cumulative damage affected by corrosion, fatigue, aging and other factors, so it is important to monitor the buildings which are on active service
Displacement-time curve variability of buildings under various loads satisfies the self-similarity of fractal theory in the process of service, the fractal theory applied to health monitoring and early warning is theoretically feasible
This study is based on the fractal theory, using the methods of constant dimension fractal and variable dimension fractal to deal with the data collected by fiber grating sensors, and we can predict the vertical displacement of the point in time, and to achieve the goal of monitoring and early warning
Summary
In China, the structure is generally divided into brick-concrete building, post and panel structure, and reinforced concrete structure, and these buildings during service are bound to produce cumulative damage affected by corrosion, fatigue, aging and other factors, so it is important to monitor the buildings which are on active service. Fractal theory is a very important part in the modern non-linear science research, it can describe some kinds of scientific complexity of nature and various non-linear systems encountered, and it requires only small amount of data (15 - 30 values) to predict accurately, so the calculation is faster than traditional forecasting methods; it is a new method of processing prototype observation data of buildings. This study is based on the fractal theory, using the methods of constant dimension fractal and variable dimension fractal to deal with the data collected by fiber grating sensors, and we can predict the vertical displacement of the point in time, and to achieve the goal of monitoring and early warning
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