Pile foundation buckling critical load analytical solution analysis method based on two-parameter foundation model
A foundation model and analysis method technology, applied in the field of geotechnical engineering, can solve the problem that the Winkler foundation model cannot consider the spread and deformation of stress
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Embodiment 1
[0091] In this example, see Figure 1-Figure 3 , a method for analytical solution analysis of pile foundation buckling critical load based on dual-parameter foundation model, the analysis method includes the following steps:
[0092] a) Based on the dual-parameter foundation model, an analysis method for the analytical solution of the pile foundation buckling critical load is proposed:
[0093] According to the Pasternak two-parameter foundation model, the deflection differential equation of the pile body under the two-dimensional plane strain condition is expressed as follows:
[0094]
[0095] EI is the bending stiffness of the pile section;
[0096] y is the deflection at any point of the pile body;
[0097] Gp is the shear stiffness of foundation soil;
[0098] K is the foundation reaction modulus;
[0099] B is the calculated width of the pile body;
[0100] For the common circular section piles in engineering: when the pile diameter d≤1m, B=0.9(0.5+1.5d); when ...
Embodiment 2
[0117] This embodiment is basically the same as Embodiment 1, especially in that:
[0118] In this embodiment, the analytical solution analysis method of critical load of pile foundation buckling based on the two-parameter foundation model is solved by the energy method as follows:
[0119] (a) Based on the buckling analysis model of super-long rock-socketed piles, the total potential energy functional equation of the pile-soil system is established:
[0120] Such as figure 2 As shown, the total potential energy Π of the pile and soil should be calculated by the strain energy of the pile body U P , based on the elastic deformation energy U of the pile side soil under the dual-parameter foundation S , the load potential energy V of pile side friction f , the potential energy V of the self-weight load of the pile body g and the pile top external load potential energy V p Composition, namely:
[0121] Π=U p +U s +V f +V g +V p
[0122] Pile strain energy U P for: ...
Embodiment 3
[0170] This embodiment is basically the same as the previous embodiment, and the special features are:
[0171] In this embodiment, an analytical solution analysis method for pile foundation buckling critical load based on a two-parameter foundation model. In order to verify the correctness of the calculation method of the two-parameter foundation model, the following test results of the model pile are used for analysis and comparison. The boundary conditions are: the pile end is embedded and the pile top is free. The specific parameters are shown in Table 1, and the theoretical results of the calculated super-long pile buckling load are compared with the experimental results in the literature, as shown in Table 2.
[0172] Table 1. Calculation parameter list of test piles in this embodiment
[0173]
[0174] Table 2. Comparison table of calculation results of buckling critical load in this embodiment
[0175]
[0176] It can be seen from Table 2 that the actual mecha...
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