scholarly journals Boundary Value Problem for Analysis of Portal Double-Row Stabilizing Piles

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Cheng Huang
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Value Problem ◽  
Mechanical Behaviour ◽  
Numerical Approach ◽  
Internal Force ◽  
High Accuracy ◽  
Double Row ◽  
Stabilizing Piles ◽  
Stabilizing Pile

This paper presents a new numerical approach for computing the internal force and displacement of portal double-row piles used to stabilize potential landslide. First, the new differential equations governing the mechanical behaviour of the stabilizing pile are formulated and the boundary conditions are mathematically specified. Then, the problem is numerically solved by the high-accuracy Runge-Kutta finite difference method. A program package has been developed in MATLAB depending on the proposed algorithm. Illustrative examples are presented to demonstrate the validity of the developed program. In short, the proposed approach is a practical new idea for analyzing the portal double-row stabilizing pile as a useful supplement to traditional methods such as FEM.

Calculation on the Internal Force of Deeply Buried Anti-Slide Pile by Using Finite Difference Method Based on the m-k Type Method

2011 ◽  
Vol 130-134 ◽  
pp. 128-134 ◽  
Author(s):  
Qiu Yan Fan ◽  
Mei Qian Wang ◽  
Sheng Cai Xu
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Solution Process ◽  
Step Length ◽  
Internal Force ◽  
Power Series Method ◽  
Type Method ◽  
New Type

In the past, when used the foundation coefficient to calculate the internal force of anti-slide pile, power series method is usually adopted. The deformation compatibility conditions and continuity conditions of sliding surface between non-anchoring section and anchoring section are exploited to determine the final result, causing the lengthy solution process and that there is no guarantee for the calculation accuracy. This paper uses the foundation coefficient method in the calculation of internal force of anti-slide pile and employs the “m-k” method with a more complicated up-down foundation structure to get the finite difference equation to determine the new-type deeply buried anti-slide pile displacement and internal force. Then the calculation on the internal force and displacement of the whole pile can be realized easily through the procedure method. Finally, this paper makes a contrastive analysis on the result of the finite difference method and finite element calculation through the case study. As long as the equal differential step length is small enough, the calculation accuracy can meet the demand of engineer design and the program graph processing result can optimize the design of anti-slide pile.

scholarly journals New Mathematical Modelling of Stabilizing Pile with Prestressed Tieback Anchors

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Cheng Huang ◽  
Wei-zhong Ren ◽  
Ling-wei Kong
Keyword(s):  
Differential Equations ◽  
Mathematical Modelling ◽  
Mechanical Response ◽  
High Accuracy ◽  
Comparative Case Study ◽  
System Of Differential Equations ◽  
Slope Stabilization ◽  
Stabilizing Piles ◽  
Stabilizing Pile

This paper presents a novel mathematical modelling for analyzing stabilizing piles with prestressed tieback anchors. The new differential equations governing the mechanical response of the stabilizing pile are formulated and the boundary conditions considering the tie-back anchors are mathematically specified. Then, the system of differential equations is numerically solved by the high-accuracy Runge-Kutta finite difference method. A simple computer program has been written on the platform of MATLAB to run the procedure of the proposed algorithm. This approach is entirely different from the traditional finite element method used to design the anchored piles. The FEM is employed to verify the feasibility of the developed method. The comparative case study indicates that the proposed method has more higher modeling and computing efficiency than the FEM and can be an alternative method for designing the anchored pile used for slope stabilization.

scholarly journals Complexity of Computation of Dominating Sets in Geo-Mathmetics Algorithm : A Review

2021 ◽  
Vol 1 (1) ◽  
pp. 40-47
Author(s):  
Şakir Işleyen
Keyword(s):  
Computational Complexity ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Value Problem ◽  
Complexity Theory ◽  
Decision Problem ◽  
Step Length ◽  
Dominating Sets ◽  
Dominating Number ◽  
Dominant Sets

 In this paper, the complexity on dominating sets of the graph is suppose the G = (V, E) is a subset D of V each head not in D is adjacent to one member on the dominating number γ (G) is the number of vertices in the smallest dominant sets of G. The dominant sets problem by testing whether γ (G) ≤ K of a given graph is G and K input; It is an electronic card NP machines decision problem in computational complexity theory. Infographics, powerful infographics plus graphic mapping. In each example, each white head is adjacent to at least one red cape, and the white cap is said to be dominated by the red cape. The graph in graph is 2: The histogram is an example that illustrates the histogram.Keywords— Boundary Value Problem, Convergence of the Method, Cubic Order, Finite Difference Method, Non-uniform Step Length.

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