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Foundation Settlement Prediction Method Based on Time Weighted Gray System Theory
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A grey system theory and time-weighted technology, applied in special data processing applications, complex mathematical operations, geometric CAD, etc., can solve problems such as the prediction accuracy of uneven settlement of bridge pile foundations, reduce costs and improve prediction accuracy. Effect
Active Publication Date: 2022-04-15
HARBIN INST OF TECH
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[0008] Aiming at the defect that the traditional gray system theory GM(1,1) model adopts equal-weight fitting processing on the original data, this paper proposes a gray system theory based on a new Basic Unit-interval Monotonic (BUM) function for time weighting The uneven settlement prediction model can fully consider the reference value of the settlement data close to the time point, and can effectively improve the prediction accuracy of uneven settlement of the pile foundation of the wide bridge. It has a very significant advantage in the case of limited settlement data in the early stage
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specific Embodiment approach 1
[0048] A foundation settlement prediction method based on time-weighted gray system theory, comprising the following steps:
[0049] Step 1. Suppose a set of raw data columns are:
[0050] x (0) =(x (0) (1), x (0) (2),···x (0) (n)) (1)
[0051] n is the number of original data, for {x (0)} sequence, which can weaken the randomness and volatility of the random sequence, and obtain the cumulative sequence:
[0052] x (1) =(x (1) (1), x (1) (2),···x (1) (n)) (2)
[0053] in:
[0054]
[0055] According to the gray system theory, for {x (1)} Establish a first-order one-variable differential equation GM(1,1) in whitened form with respect to t:
[0056]
[0057]where a and u are the coefficients to be solved, respectively the development coefficient and the gray action;
[0058] The effective interval of a is (-2, 2), and a, u form the matrix as the gray parameter:
[0059]
[0060] Find the parameters a, u, then you can find and then find x (0) Predictive...
Embodiment 1
[0094] A foundation settlement prediction method based on time-weighted gray system theory, comprising the following steps:
[0095] (1) Selection of pile foundation settlement data
[0096] The change of settlement of widened bridge pile foundation with time can basically be divided into three stages.
[0097] The first stage is the "rapid settlement stage". In this settlement stage, the new pile foundation has just been constructed. Since the soil around the new pile foundation will be disturbed during the construction of the new pile foundation, the soil around the pile is in secondary consolidation. The loose state of the pile foundation is the most severe stage of settlement in the settlement process of the pile foundation. The second stage is the "slow settlement stage", which is based on the "rapid settlement stage". In this stage, due to factors such as pile foundation extrusion, the pore water pressure in the soil is squeezed out, and the volume of the soil body is r...
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Abstract
The foundation settlement prediction method based on the time-weighted gray system theory involves the optimization and improvement method of the prediction model of the gray system theory, which is suitable for the prediction and evaluation of the uneven settlement of the pile foundation of the widened bridge. The specific scheme is as follows: Aiming at the defects of the traditional gray system theory GM(1,1) model that adopts equal-weight fitting processing to the original data, this paper proposes a new BUM function based on the gray system theory of time-weighted non-uniform settlement Prediction can fully consider the reference value of settlement data closer to the time point, and can effectively improve the prediction accuracy of uneven settlement of pile foundations of wide-spread bridges. In the case of limited settlement data in the early stage, it has a very significant advantage.
Description
technical field [0001] The invention relates to a gray system theory prediction model optimization and improvement method, in particular to a foundation settlement prediction method based on a time-weighted gray system theory, which is suitable for prediction and evaluation of uneven settlement of pile foundations of stretched-width bridges. Background technique [0002] The early highways built in my country were mainly two-way four-lane highways, accounting for about 88% of the total highway mileage. In recent years, with the rapid development of social economy, my country's transportation industry has undergone earth-shaking changes. The traffic volume has increased dramatically due to the rapid development of the regional economy, resulting in traffic problems such as low traffic efficiency and traffic jams. At the same time, the grade of my country's highways continues to improve, and many early-built expressways need to be widened and upgraded. At present, the recons...
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