CN114117799B - Micro-curve rock jacking pipe jacking force computational mechanics model - Google Patents
Micro-curve rock jacking pipe jacking force computational mechanics model Download PDFInfo
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- CN114117799B CN114117799B CN202111435886.9A CN202111435886A CN114117799B CN 114117799 B CN114117799 B CN 114117799B CN 202111435886 A CN202111435886 A CN 202111435886A CN 114117799 B CN114117799 B CN 114117799B
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Abstract
The invention discloses a micro-curve rock jacking pipe jacking force computational mechanics model, and the curve jacking force of a 0# pipe joint is assumed to be F 0 And the jacking force of the 1# pipe section adjacent to the bending area in the bending area is as follows: f 1 ＝F 0 +(F 0 ·μ 1 ·sinβ)+(P w ·u·L)·μ 2 (1) For the second pipe, the jacking force can be written as follows: f 2 ＝F 1 +(F 1 ·μ 1 ·sinβ)+(P w ·u·L)·μ 2 (2) Substituting formula (1) into formula (2) can obtain:
and for the third pipeline, the expression of the jacking force is easily obtained as follows: f 3 ＝F 0 (1+μ 1 sinβ) 3 +3(P w ·u·L)·μ 2 (4) Therefore, the expression for the jacking force of the nth pipe section where micro deflection occurs is: f n ＝F 0 (1+μ 1 sinβ) n +n(P w ·u·L)·μ 2 (5). The model of the invention can explain the stress state of the micro-curve jacking pipe and give out the nonlinear law of jacking pipe jacking force increase, and the magnitude of the jacking force of any one micro-curve jacking pipe end can be calculated by the invention. Due to the adoption of the unique calculation method considering the stress characteristic of the actual micro-curve jacking pipe, the method has the advantage of more accurately calculating the jacking force of the micro-curve state of the rock jacking pipe.
Description
Technical Field
The invention relates to a micro-curve rock jacking pipe jacking force computational mechanics model, and belongs to the technical field of jacking pipe engineering.
Background
Under an ideal state, the movement of the straight jacking pipe strictly advances along the axial lead of the pipe joint, and the jacking force distribution form of the end part of the jacking pipe is uniform load; however, in actual construction, the jacking length of the ultra-long distance jacking pipe far exceeds the pipe diameter of the jacking pipe, so that the problem of slender pressure rods caused by the stress of the jacking pipe under the action of jacking force is solved, and axis deviation is caused. Even under the combined assistance of various high-precision optical and electronic deviation correcting systems, the problem of axis deviation cannot be effectively avoided.
The pipe jacking construction technique when a large turning radius occurs in the pipe jacking direction is called curved pipe jacking. At present, scholars at home and abroad develop a great deal of theoretical research and on-site verification on the jacking force transmission characteristic of the curve jacking pipe. During construction of the curved jacking pipe, the jacking force calculation is related to factors such as the turning radius of the jacking pipe, the opening angle of the joint of the adjacent pipe joints, the contact resistance of soil bodies around the pipe, the pipe-soil contact condition and the like.
The micro-curve jacking pipe is just a special state between a straight jacking pipe and a curve jacking pipe, and also reflects the real state of a so-called straight rock jacking pipe. And the research aiming at the calculation of the jacking force of the rock jacking pipe under the micro-curve state is rarely reported.
Disclosure of Invention
The invention aims to provide a micro-curve rock jacking pipe jacking force computational mechanics model. Analyzing the stress state of the micro-curve jacking pipe according to related monitoring data of the Chongqing viewing port jacking pipe tunnel engineering site, deducing and verifying a micro-curve jacking pipe jacking force calculation model, and serving for the rock jacking pipe engineering
The technical scheme of the invention is as follows: a micro-curve rock jacking pipe jacking force computational mechanics model assumes that the curve jacking force of a 0# pipe joint is F 0 And the jacking force of the 1# pipe joint adjacent to the bending area is as follows:
F 1 ＝F 0 +(F 0 ·μ 1 ·sinβ)+(P w ·u·L)·μ 2 (1)
for the second pipe, the jacking force can be written as follows:
F 2 ＝F 1 +(F 1 ·μ 1 ·sinβ)+(P w ·u·L)·μ 2 (2)
substituting formula (1) into formula (2) can obtain:
and for the third pipeline, the expression of the jacking force is easily obtained as follows:
F 3 ＝F 0 (1+μ 1 sinβ) 3 +3(P w ·u·L)·μ 2 (4)
therefore, the expression for the jacking force of the nth pipe section where micro deflection occurs is:
F n ＝F 0 (1+μ 1 sinβ) n +n(P w ·u·L)·μ 2 (5)
in the formula F 0 Representing the initial jacking force; u represents the length of the effective area of mud pressure around the pipe; mu.s 1 Representing the dynamic friction coefficient of the jacking pipe and the surrounding rock; mu.s 2 Representing the dynamic friction coefficient of the jacking pipe and the slurry; p w Indicating the mud pressure; l is the length of a single pipe joint; beta is the deviation angle between the 0# pipe joint and the 1# pipe joint.
In the micro-curve rock jacking pipe jacking force computational mechanics model, n is less than or equal to 40.
In the micro-curve rock jacking pipe jacking force computational mechanics model, at most every 40 pipelines are a monitoring area, and beta is the maximum deviation angle in the monitoring area.
The invention has the beneficial effects that: compared with the prior art, the traditional straight line jacking pipe jacking force theoretical calculation considers that the jacking pipe is in an ideal linear moving state, the long-distance jacking pipe is in eccentric compression due to uneven jacking force output of jacking force equipment in practice, and the transmission rule of the jacking force is deduced by analyzing the deformation coordination condition when the jacking pipe is in eccentric compression. The model of the invention can explain the stress state of the micro-curve jacking pipe and give out the nonlinear law of jacking pipe jacking force increase, and the magnitude of the jacking force of any one micro-curve jacking pipe end can be calculated by the invention. Due to the adoption of the unique calculation method considering the stress characteristic of the actual micro-curve jacking pipe, the method has the advantage of more accurately calculating the jacking force of the micro-curve state of the rock jacking pipe.
Drawings
FIG. 1 is a schematic diagram of calculation of the jacking force of a micro-curve jacking pipe;
FIG. 2 is a schematic diagram of a verification relation between jacking pipe jacking force monitoring data and model theoretical data.
Detailed Description
The invention will be further illustrated with reference to the following figures 1-2 and examples, without however being construed as limiting the invention thereto.
The embodiment of the invention comprises the following steps: a micro-curve rock jacking pipe jacking force computational mechanics model is shown in figure 1, and the curve jacking force of a 0# pipe joint is assumed to be F 0 And the jacking force of the 1# pipe section adjacent to the bending area in the bending area is as follows:
F 1 ＝F 0 +(F 0 ·μ 1 ·sinβ)+(P w ·u·L)·μ 2 (1)
for the second pipe, the jacking force can be written as follows:
F 2 ＝F 1 +(F 1 ·μ 1 ·sinβ)+(P w ·u·L)·μ 2 (2)
substituting formula (1) into formula (2) can obtain:
and for the third pipeline, the expression of the jacking force is easily obtained as follows:
F 3 ＝F 0 (1+μ 1 sinβ) 3 +3(P w ·u·L)·μ 2 (4)
therefore, the expression of the jacking force of the nth pipe joint subjected to micro deflection is as follows:
F n ＝F 0 (1+μ 1 sinβ) n +n(P w ·u·L)·μ 2 (5)
in the formula F 0 Representing the initial jacking force; u represents the length of the effective area of mud pressure around the pipe; mu.s 1 Representing the dynamic friction coefficient of the jacking pipe and the surrounding rock; mu.s 2 Representing the dynamic friction coefficient of the jacking pipe and the slurry; p w Indicating the mud pressure; l is the length of a single pipe joint; beta is the deviation angle between the 0# pipe joint and the 1# pipe joint.
N is less than or equal to 40, namely, at most 40 pipelines which are connected with each other are monitored by one set of jacking force equipment, 40 pipelines are a monitoring area, the length of each pipeline is calculated by 2.5m, namely, each 100m is provided with one relay, and each relay is provided with one set of jacking force monitoring equipment. The environment around each 100m pipeline is almost the same, and at the moment, the mu taken when each pipeline in the same monitoring area calculates the corresponding jacking force 1 And mu 2 Are all the same fixed value. Each monitoring area needs to confirm mu according to the environment of the jacking pipe 1 And mu 2 。
Within a monitoring zone, β is also a constant value, being the maximum deviation angle in a monitoring zone. If 40 pipelines are arranged in one monitoring area, the deviation angles of the 0# pipeline and the 1# pipeline, the 1# pipeline and the 2# pipeline, the 2# pipeline and the 3# pipeline, and the … … n-2# pipeline and the n-1# pipeline need to be confirmed, and then the maximum deviation angle is confirmed, and the maximum deviation angle is beta.
The micro-curve rock jacking pipe jacking force computational mechanics model is applied to Chongqing sight jacking pipe tunnel engineering construction. And (3) installing one relay at intervals of 40 jacking pipes on the jacking pipe site, namely considering three intervals of 1# to 2# relay, 2# to 3# relay and 3# to 4# relay, wherein only 40# pipe joints in each interval can provide jacking force monitoring data, and the intervals serve as verification points.
The theoretical value is calculated according to the mechanical model jacking force expression and compared with the actual monitoring value, the calculation results are shown in the attached drawing 2,1# to 2# relay, 2# to 3# relay and 3# to 4# relay, jacking force errors are respectively-2.44%, 1.94% and 2.57%, the jacking force errors are smaller than 3%, and the model calculation is accurate.
Claims (3)
1. The utility model provides a little curve rock push pipe jacking force computational mechanics model which characterized in that: now assume that the curve top force of the 0# pipe joint is F 0 And the jacking force of the 1# pipe section adjacent to the bending area in the bending area is as follows:
F 1 ＝F 0 +(F 0 ·μ 1 ·sinβ)+(P w ·u·L)·μ 2 (1)
for the second pipe, the jacking force can be written as follows:
F 2 ＝F 1 +(F 1 ·μ 1 ·sinβ)+(P w ·u·L)·μ 2 (2)
substituting formula (1) into formula (2) yields:
F 2 ＝[F 0 +(F 0 ·μ 1 ·sinβ)+(P w ·u·L)·μ2]
+[F 0 (1+μ 1 sinβ)+(P w ·u·L)·μ 2 ]·μ 1 sinβ+(P w ·u·L)·μ 2 (3)
＝F 0 (1+μ 1 sinβ) 2 +2(P w ·u·L)·μ 2
and for the third pipeline, the expression of the jacking force is easily obtained as follows:
F 3 ＝F 0 (1+μ 1 sinβ) 3 +3(P w ·u·L)·μ 2 (4)
therefore, the expression for the jacking force of the nth pipe section where micro deflection occurs is:
F n ＝F 0 (1+μ 1 sinβ) n +n(P w ·u·L)·μ 2 (5)
in the formula F 0 Representing the initial jacking force; u represents the length of the effective area of mud pressure around the pipe; mu.s 1 Representing the dynamic friction coefficient of the jacking pipe and the surrounding rock; mu.s 2 Representing the dynamic friction coefficient of the jacking pipe and the slurry; p w Indicating the mud pressure; l is the length of a single pipe joint; beta is the deviation angle between the 0# pipe joint and the 1# pipe joint.
2. The micro-curved rock jacking pipe jacking force computational mechanics model of claim 1, characterized in that: n is less than or equal to 40.
3. The micro-curved rock jacking pipe jacking force computational mechanics model of claim 2, wherein: at most one monitoring zone is per 40 pipes and β is the maximum deviation angle in one monitoring zone.
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Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111914373A (en) * | 2020-08-21 | 2020-11-10 | 重庆大学 | Long-distance rock jacking pipe frictional resistance calculation method and pipe rock contact state detection method |
| CN113361118A (en) * | 2021-06-17 | 2021-09-07 | 中国电建集团福建省电力勘测设计院有限公司 | Jacking force calculation method for segmented prefabricated curve jacking pipe |
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111914373A (en) * | 2020-08-21 | 2020-11-10 | 重庆大学 | Long-distance rock jacking pipe frictional resistance calculation method and pipe rock contact state detection method |
| CN113361118A (en) * | 2021-06-17 | 2021-09-07 | 中国电建集团福建省电力勘测设计院有限公司 | Jacking force calculation method for segmented prefabricated curve jacking pipe |
Non-Patent Citations (2)
| Title |
|---|
| 大口径三维曲线顶管顶力估算及实测分析;陈孝湘等;《岩土力学》;20150610;全文 * |
| 长距离顶管管道的失稳分析;魏纲等;《岩石力学与工程学报》;20050815(第08期);全文 * |
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