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 ENG  Vol.8 No.9 , September 2016
Application of Fractal Theory in Brick-Concrete Structural Health Monitoring
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.
Cite this paper: Yang, C. , Zhao, X. , Yao, Y. and Zhang, Z. (2016) Application of Fractal Theory in Brick-Concrete Structural Health Monitoring. Engineering, 8, 646-656. doi: 10.4236/eng.2016.89058.
References

[1]   Li, H.-N., Gao, D.-W. and Yi, T.-H. (2008) Advances in Structural Health Monitoring Systems in Civil Engineering. Advances in Mechanics, No. 2, 151-166.

[2]   Zhang, C.-D. and Yang, W. (2009) Research on Buildings Health Diagnosis. Construction Management Modernization, No. 5, 371-374.

[3]   Qin, Q. (2000) Health Monitoring of Long-Span Bridges. China Journal of Highway and Transport, No. 2, 39-44.

[4]   He, H.-X., Yan, W.-M., Ma, H. and Wang, Z. (2008) Review and Prospect of Standardization of Structural Health Monitoring System Design. Journal of Earthquake Engineering And Engineering Vibration, No. 4, 154-160.

[5]   Zhang, Q.-W. (2001) Conception of Long-Span Bridge Health Monitoring and Monitoring System Design. Journal of Tongji University (Natural Science), No. 1, 65-69.

[6]   Jiang, D.-S. and He, W. (2002) Review of Applications for Fiber Bragg Grating Sensors. Journal of Optoelectronics Laser, No. 4, 420-430.

[7]   Zhai, Z.-F. (2005) Study on the Application of Fiber Grating Sensing Technique to Health Monitoring for Space Truss. Zhejiang University, Hangzhou.

[8]   Xiang, L.-Q. (2006) Experiment Study on FBG in Structural Health Monitoring. Dalian University of Technology, Dalian.

[9]   Morey, W.W., et al. (1989) Fiber Optic Bragg Grating Sensors. Proceedings of SPIE, 1169, 98-107.

[10]   Mandelbrot, B.B. (1967) How Long Is the Coast of the Britain? Statistical Self-Similarity and Fractional Dimension. Science, 156, 636-638.
http://dx.doi.org/10.1126/science.156.3775.636

[11]   Sun, H.-J. and Zhao, L.-H. (2005) Creation and Application of the Fractal Theory. Journal of Liaoning Institute of Technology, No. 2, 113-117.

[12]   Qin, P. and Qin, Z.-H. (2010) Forecasting Model of Monitoring Data of High Rock Slope Based on Proved Variable Dimension Fractal Theory. Hydro-Science and Engineering, No. 1, 90-94.

[13]   Jiang, D.-X., Huang, W.-H. and Xu, S.-C. (1996) Fractal Geometry and Its Application in Rotating Machinery Fault Diagnosis. Journal of Harbin Institute of Technology, No. 2:, 27-31.

[14]   Qian, S.-H., Ge, S.-R. and Zhu, H. (2005) Fractal Theory and Application in Mechanical Engineering’s Fields. Coal Mine Machinery, No. 6, 123-125.

[15]   Luo, J., He, L.-M. and Chen, C. (2006) Wavelet Fractal Technology and Its Application to Aeroengine Fault Diagnosis. Journal of Projectiles, Rockets, Missiles and Guidance, No. S4, 862-864.

[16]   Shi, W.-F. (2007) An Analysis of Fractal and Chaotic Oscillation of Two Marine Generators Connected in Parallel. Journal of Harbin Engineering University, No. 9, 960-965.

[17]   Jiang, S.-F. and Su, Y. (2009) Fractal Theory And Its Application in Civil Engineering. Engineering Mechanics, No. S1, 148-152, 162.

[18]   Jin, Y.-Q. (2006) Application of Fractal Theory to Analysis of the Observed Data of Dams. Journal of Hefei University of Technology (Natural Science), No. 11, 1430-1432.

 
 
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