Chaotic Calculation and Prediction on Volume Deformation of MgO Concrete Based on Lyapunov Exponent

Abstract:

For the measured deformation time series of concrete engineering, linear and nonlinear chaotic prediction methods are represented for the autogenously volume deformation of concrete on basis of phase space reconstruction. Thus，the chaotic analytic method is set up for the prediction of the measured deformation time series of concrete engineering. At first，the autogenously volume deformation of RCC mixed with MgO are simply presented. Then，for the measured convergent deformation time series of RCC mixed with MgO，the interpolation method is adopted and an equal interval deformation time series is obtained. The results show that the largest Lyapunov exponent is 0.02 based on phase space reconstruction. Finally，it is separately predicted by the method of equidistance in near neighbor and that of the largest Lyapunov exponent prediction，and the predicted deformation values are ideal compared with the measured deformation values.

• Periodical: Applied Mechanics and Materials (Volumes 34-35)
• Pages: 446-450
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.34-35.446
• Online since: October 2010
• Authors: Jun Wei Song, Xiao Ping Cai
• Keywords: Chaos, Forecast, Largest Lyapunov Exponent, Time-Series, Volume Deformation

References

[1] YU Wen-cheng, NIU Yong-tian, WANG Cheng-shan. Experimental study on micro-expansion concrete mixed by MgO of roller compacted concrete dam [J]. Water Resources & Hydropower of Northeast2003, 21(10): 46-48.

[2] WANG Shu-yin, QIN Li-li, DENG Jian-wu. Study on Autogenous Volume Deformation of RCC Added with MgO [J]. Journal of Yangtze River Scientific Research Institut, 2006, 23(3): 43-46.

[3] WANG li-hua, CHENG li-da. Performance Research on Concrete Mixed with MgO in Changsha Arch Dam Project [J]. Guangdong Water Resources and Hydropower, 2004, (3): 23-25.

[4] LIU Shu-hua, FANG kun-he. Mathematical model of autogenous volume deformation of MgO concrete [J]. Journal of hydroelectric engineering, 2006, 25(1): 81-84.

[5] ZHU Bo-fan. Incremental Type of Computing Model for the Volume Expansion of Concrete with Gentle Volume Expansion[J]. Hydroelectric engineering, 2003, 29(2): 20-23.

[6] ZHU Bo-fan. Computational model and experimental method for bulk expansion of gentle expansive concrete [J]. Shuili Xuebao, 2002, (12): 18-21.

[7] YANG Guang-hua, YUAN Ming-dao. The hyperbola model for autogenous expansion volume deformation of MgO concrete [J]. Journal of hydroelectric engineering, 2004, 23(4): 38-44.