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| Boundary value method of ordinary differential equation system for analysing interaction between landslide and stabilizing pile |
| Received:November 29, 2010 Revised:October 19, 2011 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20123022 |
| KeyWord:slope stability landslide stabilizing piles land-slide thrust governing differential equation boundary-value problem boundary-value method |
| Author | Institution |
| 黄诚 |
中国科学院 武汉岩土力学研究所 岩土力学与工程国家重点实验室, 武汉 |
| 任伟中 |
中国科学院 武汉岩土力学研究所 岩土力学与工程国家重点实验室, 武汉 |
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| Abstract: |
| The interaction between stabilizing pile and landslide is abstracted as the first order differential equation system problem constrained by specified boundary conditions.The Runge-Kutta differential method is used to solve this system of equations to obtain the pile’s internal forces and displacement.This approach is quite different from the traditional methods based on the fourth order deflection differential eauation solved by power series,finite difference method and FEM.The pile’s internal forces and displacement can be calculated directly.So,the second variable convertion is not needed.The pile can be analyzed as a complete entity.So,it is not necessary to divide the pile into loading segment and anchoring segment by the sliding surface like the traditional methods.This method coincides with the optimization idea of computational mechanics because of its use of low order differential equation system rather than high oder differential equation.And it is easy to take the pile’s Shear deflection effects into account.In short,the proposed approach is a practical new idea for analyzing landslide stabilizing pile as a useful supplement to traditional methods.The program for pile internal forces analysis and graphics edit is developed.The verification and comparison with the traditional method were performed by an engineering example calculation.The results show that its solution agrees well with the traditional method and the computer program can improve the efficiency of traditional design of landslide stabilizing piles. |