Computing Method of Elastic Foundation Beam by MATLAB and its Application

Abstract:

The elastic foundation beam method is the main method of stress analysis of the supporting structure of the foundation pit, it can easily calculate the internal forces and displacement of the structure, however, the computing method of elastic foundation beam deflection equation is more complicated. So according to the computation principle and method of elastic foundation beam, a computing program has been programmed by MATLAB mathematical software. The program has been applied to compute the internal force and deformation of deep foundation pit of Suzhou subway station. The variation law of displacement and bending moment of supporting structure during excavation has been obtained. The results of the measured and calculated agree well, and the computing results have efficiently guided and optimized supporting design.

• Periodical: Advanced Materials Research (Volumes 368-373)
• Pages: 2760-2763
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.368-373.2760
• Online since: October 2011
• Authors: Qiang Wang, Li Yuan Tong
• Keywords: Deflection Curve Equation, Elastic Foundation Beam, Internal Forces and Deformation, MATLAB Solution

References

[1] Liu Guobin, Wang Weidong. Excavation Engineering Handbook [M] Beijing. China Architecture and Building Press, 2009(in Chinese)

[2] Luo Zhan-you, Liu Wei, Xia Jian-zhong. Effect of improvement soils on lateral deformation of foundation pits [J] Chinese Journal of Geotechnical Engineering 2006, 28(sup): 1538-1540(in chinese)

[3] JGJ120-99 Building foundation pit supporting technology procedures[S] China Architecture and Building Press, 1999(in Chinese)

[4] Wang Xu-dong, Huang Li-ping, Ruan Yong-ping, Xu Jian -long, Back-analysis m value of subgrade reaction in excavation [J] Journal of Nan Jing architectural and Civil Engineering Institute .1998(2):48-54(in Chinese)

[5] Tan Xin ,Wan-tao Ding .Numerical analysis on beams on elastic foundation by Runge-Kutta method and its application to pit construction[J] Chinese Journal of Rock Mechanics and Engineering,2003,22(sup1):2328-2332(in Chinese)

[6] Gong Chun, Wang Zhenglin Proficient in MATLAB optimization[M].Beijing: Publishing House of Electronics Industry, 2009(in Chinese)

[7] Xue DIngyu, Chen Yangquan. MATLAB solving of Higher applied mathematics problem [M] BeiJing: Tsinghua University press, 2004(in Chinese)