CN109766610A - A kind of cutterhead design method excavated for round rectangle full section of tunnel profiling - Google Patents

A kind of cutterhead design method excavated for round rectangle full section of tunnel profiling Download PDF

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CN109766610A
CN109766610A CN201811633620.3A CN201811633620A CN109766610A CN 109766610 A CN109766610 A CN 109766610A CN 201811633620 A CN201811633620 A CN 201811633620A CN 109766610 A CN109766610 A CN 109766610A
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cutterhead
profile
cutter
backbreaking
cutter head
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CN109766610B (en
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郑霄峰
荆留杰
陈帅
鞠翔宇
李鹏宇
谌文涛
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China Railway Engineering Equipment Group Co Ltd CREG
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Abstract

The invention proposes a kind of cutterhead design method excavated for round rectangle full section of tunnel profiling, it the steps include: the cutterhead theoretical profile model that profiling is established according to the tangent profile modeling of cutterhead profile and square section;By cutterhead profile discretization, obtain optimal cutter head center away from;Each discrete point maximum amount of backbreaking and the function at cutterhead exhibition angle are fitted using multinomial;Using fit come the maximum amount of backbreaking multinomial push away to obtain cutterhead contour optimization model;Cutterhead locus model after discretization optimization, is fitted each discrete point to obtain cutterhead profile cut path length;Cutterhead profile wear amount is calculated, the minimum number of cutters of corresponding position arrangement in cutterhead exhibition angle is calculated;Center between cutterhead is away from being the optimal cutter head center that acquires away from arranging cutter.The cutterhead that the present invention designs is more reasonable, can be reduced tool wear speed with full face tunneling, be substantially reduced the cutterhead design period, reduce cost of equipment maintenance.

Description

A kind of cutterhead design method excavated for round rectangle full section of tunnel profiling
Technical field
The present invention relates to the technical fields of development machine cutterhead design, more particularly to one kind to be used for round rectangle full section of tunnel The cutterhead design method that profiling is excavated.
Background technique
The development machine for being suitable for Rectangular Tunnel excavation existing at present excavates in system form, with parallel central shaft type, partially It is heart multiaxial type, planetary most commonly seen.The above two are used in mostly in big cross section Rectangular Tunnel Construction, and domestic rectangle driving The principal mode of machine excavation system.For planetary drive structure due to compact-sized, cutterhead does the compound motion of " rotation+revolution ", The profiling that compound section may be implemented is excavated, with the obvious advantage in the light section Rectangular Tunnel Construction of narrow space.Existing In planetary Copying tool pan design, it is designed mostly using trial and error procedure, knife cutting track coenvelope can go out to a certain degree Rectangular cross section, but there is the out break of corner areas.One kind that China Railway Engineering equips group's invention is disconnected for rectangle The planet gear type profiling excavating device (CN108150185A) of face constructing tunnel, proposes a kind of cutterhead skeleton pattern, by setting It sets piecewise function to retain the preferable contour area of profiling, the contour area backbreak will be caused to be modified, correcting region avoids Section is backbreak, but is occurred in the corner region You Qianwa, is not carried out full face tunneling, is needed by shield body cutter, water jet Etc. ancillary measures eliminate excavate blind area.Yangzhou Guang Xin heavy equipment Co., Ltd proposes a kind of square development machine in section Cutter plate driver assembly (CN202970725U), profile modeling are that cutterhead profile pitch circle and ring gear pitch circle do pure rolling, cutterhead When radius and ring gear radii ratio are 4/3, track is approximate quadrangle, and there is no 100% all standing fillets for Cutting trajectory Rectangle, and lack the mathematical relationship of cross dimensions and cutter radius, ring gear radius, can not be used directly to carry out parameter calculate with Selection.Furthermore also without providing the method for calculating and arranging about Copying tool pan cutter life in foregoing invention.
Summary of the invention
Lack development machine cutterhead design method for round rectangle tunnel, cause section backbreak owe dig, cutter changing frequently, The technical problem of design optimization difficulty, the present invention propose a kind of cutterhead design excavated for round rectangle full section of tunnel profiling Method realizes rectangular cross section full face tunneling, fully considered cutterhead layout and cutter equivalent life arrangement, reduce maintenance at This.
In order to achieve the above object, the technical scheme of the present invention is realized as follows: it is a kind of complete for round rectangle tunnel The cutterhead design method that section profiling is excavated, its step are as follows:
Step 1: the side length obtained wait dig square section is 2L, as input constraint;
Step 2: according to 180 ° of exhibition angles of cutterhead profile and square section tangent profile modeling and cutterhead and 45 ° of public affairs It walks around angle phase mapping, establishes the cutterhead theoretical profile model of profiling;
Step 3: according to cutterhead theoretical profile model by cutterhead profile discretization, each discrete point on cutterhead profile is obtained The amount of backbreaking, the analysis cutterhead maximum amount of backbreaking, cutter head center excavate surplus and cutter head center away from relationship, obtain optimal cutter head center Away from;By optimal cutter head center away from the amount of backbreaking is brought into, using multinomial to the letter of each discrete point maximum amount of backbreaking and cutterhead exhibition angle Number is fitted;
Step 4: using fit come the maximum amount of backbreaking multinomial push away to obtain minimum radius of corner and amendment cutter radius, Cutterhead contour optimization model is obtained, and utilizes the cutterhead locus model after cutterhead contour optimization model calculation optimization;
Step 5: the cutterhead profile after discretization optimization, and using multinomial to the Cutting trajectory length of each discrete point into Row fitting obtains the expression formula that angle is opened up about cutterhead;
Step 6: different tool types is selected according to geologic parameter and Tool in Cutting feature;Using cutterhead profile and cut The expression formula for cutting path length calculates cutterhead profile wear amount, calculates knife according to structural parameters, boring parameter and equivalent life principle Disk opens up the minimum number of cutters of corresponding contour position in angle;
Step 7: three cutterheads are uniformly distributed about 120 ° of heart septum in square section, the point of a knife of cutterhead is in just The center of square cross-section, and the center between cutterhead away from the optimal cutter head center acquired for step 3 away from being adopted according to tool dimension Cutter is arranged with traditional spiral of Archimedes or method of altering course with a concentric circle;
Step 8: three cutterheads are rotated around cutter head center to parastate, and point of a knife is directed toward identical direction.
The cutterhead theoretical profile model of the profiling are as follows:
Wherein, R is cutter head center away from θ is that cutterhead opens up angle, and r is cutter radius;(x0, y0) be cutterhead on profile point.
In the step 3 optimal cutter head center away from determination method are as follows: two particle trajectories of cutterhead profile symmetric position Be symmetric, to cutterhead contour area (0,45 °] amount of backbreaking is analyzed in angle range, on the cutterhead profile respectively from The amount of backbreaking of scatterplot isα is cutterhead revolution corner;It is that cutterhead revolves 0 ° of corner that cutter head center, which excavates surplus, When point of a knife to square section center distance, i.e.,Establish the cutterhead maximum amount of backbreaking maxhmax(θ), cutter head center The surplus l relation curve with cutter head center away from R respectively is excavated, with maxhmaxWhen (θ)=l, value of the cutter head center away from R is optimal knife Disk center is away from R0, wherein hmax(θ) be cutterhead open up angle θ take cutterhead revolution corner α when determining value (0, π] amount of backbreaking in range The maximum value of h.
Function in the step 3 using multinomial to each discrete point maximum amount of backbreaking about exhibition angle is fitted, and is obtained The maximum amount of backbreaking is hmax(θ);
According to the cutterhead maximum amount of backbreaking maxhmax(θ) pushes away to obtain minimum radius of cornerMost using discrete point The big amount of backbreaking corrects cutter radius, obtains the equation of cutterhead contour optimization model are as follows:Wherein, sgn (θ) indicates the sign function at cutterhead exhibition angle;
The equation of cutterhead locus model after optimization are as follows:Its In, (x, y) is the point on cutterhead profile cut track.
By the cutterhead profile discretization of cutterhead contour optimization model, each discrete point public affairs of cutterhead profile circle interior length gauge Calculating formula isθ is that cutterhead opens up angle, cuts rail to each discrete point using multinomial Mark length carries out obtaining cutterhead profile cut path length expression formula s (θ), θ ∈ about the fitting of a polynomial of exhibition angle independent variable (0, π].
The cutterhead profile wear amount isWherein, K is barasion coefficient, and nd is walking around certainly for planet cutterhead Speed, LmFor driving distance, v is driving speed, and n is with arranged in tracks number of cutters;
According toLimiting abrasion loss [δ] and driving distance [L allowablem] it is given after calculate The minimum number of cutters that different cutterhead exhibitions angle θ corresponding contour position can be arranged: c1=KLmnd/ (10v), c2=10v [δ]/ (Knd), at this point, limiting abrasion loss [δ]=μ c1, driving distance [L allowablem]=ε c2, μ=s (θ)/n0.333For tunnel coefficient, ε= n0.333/ s (θ) is the coefficient of waste;Calculate to obtain critical driving coefficient coefficient of waste μcWith critical wear coefficient εc
The cutter, which sequentially joins end to end, is inscribed in the profile of cutterhead, and the position of first cutter is arranged perpendicular in cutterhead Heart line, i.e., the position coordinates of first cutter are (0,0.5b), wherein b is given blade widths;Pass through simultaneous contour optimization Model and tool position calculate to obtain the coordinate of cutter endpoint and its corresponding cutterhead exhibition angle θ, take cutter both ends exhibition angle mean value be Cutter head center calculates the minimum arrangement quantity of cutter using center corresponding contour abrasion loss as tool abrasion.
Beneficial effects of the present invention: being analyzed based on the cutterhead theoretical profile Cutting trajectory tangent with section, by determining knife The optimal center of disk away from;It introduces rectangle fillet and establishes cutterhead contour optimization model using the amount of backbreaking as correction term, realize complete disconnected It excavates in face;Copying tool pan tool wear calculation method is further proposed, establishes what cutterhead was arranged with cutter uniformly at intervals Strategy.The cutterhead that the present invention designs is more reasonable, and the full face tunneling of round rectangle may be implemented, and reduces tool wear speed, The cutterhead design period is substantially reduced, cost of equipment maintenance is reduced.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below There is attached drawing needed in technical description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this Some embodiments of invention for those of ordinary skill in the art without creative efforts, can be with It obtains other drawings based on these drawings.
Fig. 1 is flow chart of the invention.
Fig. 2 is the distribution of the present invention amount of backbreaking and fitting function curve.
Fig. 3 is cutterhead contour optimization comparison diagram of the present invention.
Fig. 4 is the covering surface schematic diagram that cutterhead of the present invention optimizes profile cut.
Fig. 5 is that the different cutterheads of the present invention open up angle stroke and matched curve.
Fig. 6 is coefficient of waste graph of relation of the present invention.
Fig. 7 is present invention driving Relationship of Coefficients curve graph.
Fig. 8 is cutter arrangement schematic diagram of the present invention
Fig. 9 is three knife disc tool arrangement schematic diagrams of the invention.
Figure 10 is the cutter head structure figure that the present invention obtains.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on Embodiment in the present invention, those of ordinary skill in the art are obtained every other under that premise of not paying creative labor Embodiment shall fall within the protection scope of the present invention.
As shown in Figure 1, a kind of cutterhead design method excavated for round rectangle underground space tunneling boring profiling, including such as Lower step:
Step 1: the size 2L=1000mm of the specified square section side length of user, as input constraint;
Step 2: according to the tangent profile modeling of profile, it is known that cutterhead profile should with the side of square section is tangent lays equal stress on It closes, 180 ° of exhibition angles of cutterhead and 45 ° of revolution corner phase mappings establish the formula of the cutterhead theoretical profile model of profiling:Calculate cutterhead theoretical profile, wherein cutter head center away from be R, cutterhead revolve corner be α, It is θ, cutter radius r that cutterhead, which opens up angle,.
Step 3: knife cutting track is analyzed, it is known that when disk center is smaller away from R, excavated section is for corner Backbreak serious, and central excavation surplus is larger.Increase with disk center is set away from R, central excavation surplus and the corner amount of backbreaking by It is decrescence few.Two particle trajectories of cutterhead profile symmetric position are also symmetrical, only to exist to cutterhead contour area convenient for analysis (0,45 °] amount of backbreaking is analyzed in angle range, and by cutterhead profile discretization, each discrete point cutterhead corner amount of backbreaking isCutter head center excavates surplusThen center owes to dig when l < 0.Cutterhead maximum is super Digging amount is the maximum value in each discrete point maximum amount of backbreaking, and establishes the cutterhead maximum amount of backbreaking maxhmax(θ) and cutter head center are excavated The surplus l relation curve with cutter head center away from R respectively, it can be found that the cutterhead maximum amount of backbreaking maxhmax(θ) and cutter head center are opened It digs increase of the surplus l with cutter head center away from R and linearly reduces.maxhmaxWhen (θ)=l, R=651.85mm is solved, due to maxhmax(θ) and cutter head center, which excavate surplus l, has a monotonicity away from R about cutter head center, therefore the maximum amount of backbreaking hmax(θ)=l's Solution exists and unique.
By cutterhead profile discretization, the maximum amount of the backbreaking h of each discrete point is calculatedmax(θ), and fitting of a polynomial is carried out to it Obtain hmax(θ)=8.54 θ3-21.07θ2+ 17.66 θ, θ ∈ (0, π], the discrete point amount of backbreaking and matched curve are as shown in Figure 2.
Step 4: orthogonal rectangle angle is changed to fillet.According to the cutterhead maximum amount of backbreaking maxhmax(θ) pushes away to calculate section Minimum radius of cornerObtain r0=266.8mm, the fillet of section design is no less than this value in practice.
Cutter radius is corrected with the amount of backbreaking, calculates cutterhead contour optimization model Cutterhead profile becomes more to put down blunt after optimizing as shown in Figure 3, is greatly improved to the profiling ability of corner.Sgn is common Sign function, as θ < 0, return value is -1;As θ=0, the functional value of return is 0;As θ > 0, return value 1.Here it leads If introducing sgn is avoided to be expressed using piecewise function since cutterhead profile is symmetrically.
Cutterhead profile cut locus model after optimizationmaxhmax When (θ)=l, the cutterhead maximum amount of backbreaking maxh after optimizationmaxIt is 0 that (θ), cutter head center, which excavate surplus l, is realized to side length 2L, circle Angle r0Round rectangle full face tunneling, cutting covering surface it is as shown in Figure 4, it is seen that the cutterhead profile after optimization realizes fillet The full face tunneling of rectangle.
Step 5: by cutterhead profile discretization, to each discrete point public affairs circle in length analyze, calculate cutterhead wheel Wide Cutting trajectory lengthAnd it is fitted using multinomial s (θ)= 5.45θ2- 0.04 θ+7.23, θ ∈ (0, π], profile discrete point Cutting trajectory length and matched curve are as shown in figure 5, can by Fig. 5 When knowing that cutterhead exhibition angle θ is bigger, stroke is also bigger.
Step 6: cutterhead profile wear amount is calculatedδ --- abrasion loss (mm), K --- barasion coefficient (μ M/km), nd--- the rotation revolving speed (r/min) of planet cutterhead, Lm--- driving distance (m), v --- driving speed (cm/min), N --- with arranged in tracks number of cutters;Take parameter input as shown in table 1.
Table 1 inputs parameter
Different tool types is selected according to geologic parameter and Tool in Cutting feature;Cutterhead movement velocity is analyzed, Under different cutterhead exhibition angle values, cutterhead profile tangent line angle, orbit tangent angle are in cyclically-varying with the increase of revolution angle α. Due to not being definite value, and angular range surmounts 90 °, so being not suitable for using hobboing cutter and the unidirectional cutter of tradition.
According toAbrasion loss [δ] and driving allowable are being limited away from inner [Lm] it is given after calculate The minimum number of cutters that exhibition angle θ corresponding contour position can be arranged: c1=KLmnd/ (10v), c2=10v [δ]/(Knd);At this time [δ]=μ c1, [Lm]=ε c2, define μ=s (θ)/n0.333To tunnel coefficient, ε=n is defined0.333/ s (θ) is the coefficient of waste, is calculated Obtain critical wear coefficient μc=7.5, εc=0.13.When geologic parameter, equipment boring parameter, cutter material, cutter limit abrasion loss To timing, using Cutting tool installation manner exhibition angle as abscissa, using the coefficient of waste or driving coefficient as ordinate, driving Relationship of Coefficients figure is such as Shown in Fig. 7, coefficient of waste relational graph is as shown in Figure 6.Straight line in Fig. 6 represents critical wear coefficient, straight line and different n value knives The intersection point of tool coefficient of waste curve represents the maximum in this installation site and limits the corresponding minimum number of cutters of abrasion loss.Fig. 7 In straight line represent critical driving coefficient, straight line is represented from the intersection point of different n value cutters driving coefficient curve and is installed herein Meet under the premise of limiting abrasion loss when position, the minimum driving distance of cutter.Calculate to obtain the knife at least arranged on different exhibition angles It is as shown in table 2 to have quantity.
The different cutterhead exhibitions of table 2 angle is fixed a cutting tool quantity
Cutter, which sequentially joins end to end, is inscribed in cutterhead profile, and cutter is uniformly distributed as shown in Figure 8.Center cutter corresponding exhibition angle generation The table installation site of cutter, to be approximately cutter exhibition angle mean value abrasion loss by tool abrasion convenient for type selection calculation.In cutter Width b to timing, by simultaneous cutterhead contour optimization model withCalculate cutter endpoint seat Mark and corresponding cutterhead open up the angle angle θ, and taking the mean value at cutter both ends exhibition angle is cutter head center, using center corresponding contour abrasion loss as cutter Abrasion loss, the minimum arrangement quantity for calculating cutter accordingly are as shown in table 3.
3 tool position of table and quantity
It is analyzed according to the transmission ratio of epicyclic transmission mechanism, cutterhead then revolves 120 °, when public affairs circle, then often from circling Rotation three weeks.Entire section can be completed by the common cutting movement of three cutterheads every 120 ° of settings, one cutterhead accordingly Excavation.The epicyclic transmission mechanism stress balance of clover form, stable drive, and when cutterhead arranges cutter, same rail Mark cutter can be arranged on different cutterheads, keep cloth knife more reasonable, be also beneficial to reduce single cutter head torque and tool wear.
On cutterhead particle possess it is unique determine track, and be overlapped on three cutterheads with position particle trajectory, when cloth knife will 120 ° of three cutterhead intervals central symmetries are placed, and cutterhead point of a knife is in section center, and cutter head center is away from for R0, use helix Or method of altering course with a concentric circle carries out cutter arrangement, as shown in Figure 9.When cutter single side quantity is greater than 3, at this time close to cutterhead point of a knife point Place can arrange cutter in cutterhead axisymmetric position since the particle trajectory of axisymmetric position on each cutterhead is symmetrical and close.This Since space is limited at external cutterhead point of a knife point, design uses triangle alloy cutter.
Cutter arrangement terminates, and three cutterheads is rotated around cutter head center to parastate, and point of a knife direction is identical.Such as Figure 10 It is shown.
The present invention is based on Copying tool pan profiles and the tangent profile modeling of rectangular cross section, establish the theoretical profile mould of cutterhead Type.Cutting trajectory analysis based on Copying tool pan theoretical profile, orthogonal rectangle can not eliminate corner and backbreak phenomenon, propose that rectangle is disconnected Face setting fillet method, it is determined that optimal center away from minimum cross section radius of corner, establish the knife based on the corner amount of backbreaking Plate wheel exterior feature Optimized model, realizes the full face tunneling to round rectangle.The present invention is proposed and is adopted according to cutterhead kinematics analysis With three cutterhead intervals, 120 ° of layout setting.According to cutterhead profile cut track, fits Copying tool pan and fix a cutting tool the meter of abrasion Formula is calculated, the cutter for calculating different exhibition Angle Positions on cutterhead according to equivalent life arrangement principle arranges quantity, and it is corresponding to propose cutter The strategy for opening up Angle Position helix arrangement, provides foundation for cutterhead design.By verifying the embodiment of the present invention, it was demonstrated that set The feasibility of meter method.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention Within mind and principle, any modification, equivalent replacement, improvement and so on be should all be included in the protection scope of the present invention.

Claims (7)

1. a kind of cutterhead design method excavated for round rectangle full section of tunnel profiling, which is characterized in that its step are as follows:
Step 1: the side length obtained wait dig square section is 2L, as input constraint;
Step 2: turned according to 180 ° of exhibition angles of cutterhead profile and square section tangent profile modeling and cutterhead with 45 ° of revolution Angle phase mapping establishes the cutterhead theoretical profile model of profiling;
Step 3: according to cutterhead theoretical profile model by cutterhead profile discretization, backbreaking for each discrete point on cutterhead profile is obtained Amount, the analysis cutterhead maximum amount of backbreaking, cutter head center excavate surplus and cutter head center away from relationship, obtain optimal cutter head center away from; By optimal cutter head center away from bringing the amount of backbreaking into, using multinomial to the function of each discrete point maximum amount of backbreaking and cutterhead exhibition angle into Row fitting;
Step 4: using fit come the maximum amount of backbreaking multinomial push away to obtain minimum radius of corner and amendment cutter radius, obtain Cutterhead contour optimization model, and utilize the cutterhead locus model after cutterhead contour optimization model calculation optimization;
Step 5: the cutterhead profile after discretization optimization, and intended using Cutting trajectory length of the multinomial to each discrete point Close the expression formula for obtaining that angle is opened up about cutterhead;
Step 6: different tool types is selected according to geologic parameter and Tool in Cutting feature;Utilize cutterhead profile and cutting rail The expression formula of mark length calculates cutterhead profile wear amount, calculates cutterhead exhibition according to structural parameters, boring parameter and equivalent life principle The minimum number of cutters of corresponding contour position in angle;
Step 7: three cutterheads are uniformly distributed about 120 ° of heart septum in square section, the point of a knife of cutterhead is in square The center of section, and the center between cutterhead away from the optimal cutter head center acquired for step 3 away from, according to tool dimension using pass The spiral of Archimedes or method of altering course with a concentric circle of system arrange cutter;
Step 8: three cutterheads are rotated around cutter head center to parastate, and point of a knife is directed toward identical direction.
2. the cutterhead design method according to claim 1 excavated for the profiling of round rectangle full section of tunnel, feature It is, the cutterhead theoretical profile model of the profiling are as follows:
Wherein, R is cutter head center away from θ is that cutterhead opens up angle, and r is cutter radius;(x0, y0) be cutterhead on profile point.
3. the cutterhead design method according to claim 2 excavated for the profiling of round rectangle full section of tunnel, feature Be, in the step 3 optimal cutter head center away from determination method are as follows: two particle trajectories of cutterhead profile symmetric position are in It is symmetrical, to cutterhead contour area (0,45 °] amount of backbreaking is analyzed in angle range, each discrete on the cutterhead profile Point the amount of backbreaking beα is cutterhead revolution corner;When cutter head center excavation surplus is 0 ° of corner of cutterhead revolution Point of a knife to square section center distance, i.e.,Establish the cutterhead maximum amount of backbreaking maxhmax(θ), cutter head center are opened The surplus l relation curve with cutter head center away from R respectively is dug, with maxhmaxWhen (θ)=l, value of the cutter head center away from R is optimal cutterhead Center is away from R0, wherein hmax(θ) be cutterhead open up angle θ take cutterhead revolution corner α when determining value (0, π] amount of backbreaking h in range Maximum value.
4. the cutterhead design method according to claim 3 excavated for the profiling of round rectangle full section of tunnel, feature It is, the function in the step 3 using multinomial to each discrete point maximum amount of backbreaking about exhibition angle is fitted, and is obtained most The big amount of backbreaking is hmax(θ);
According to the cutterhead maximum amount of backbreaking maxhmax(θ) pushes away to obtain minimum radius of cornerIt is super using discrete point maximum Digging amount corrects cutter radius, obtains the equation of cutterhead contour optimization model are as follows:Wherein, sgn (θ) indicates the sign function at cutterhead exhibition angle;
The equation of cutterhead locus model after optimization are as follows:Wherein, (x, It y) is the point on cutterhead profile cut track.
5. the cutterhead design method according to claim 1 or 4 excavated for the profiling of round rectangle full section of tunnel, special Sign is, by the cutterhead profile discretization of cutterhead contour optimization model, each discrete point public affairs of cutterhead profile circle interior length gauge Calculating formula isθ is that cutterhead opens up angle, cuts rail to each discrete point using multinomial Mark length carries out obtaining cutterhead profile cut path length expression formula s (θ), θ ∈ about the fitting of a polynomial of exhibition angle independent variable (0, π].
6. the cutterhead design method according to claim 5 excavated for the profiling of round rectangle full section of tunnel, feature It is, the cutterhead profile wear amount isWherein, K is barasion coefficient, and nd is the rotation revolving speed of planet cutterhead, LmFor driving distance, v is driving speed, and n is with arranged in tracks number of cutters;
According toLimiting abrasion loss [δ] and driving distance [L allowablem] it is given after calculate it is different The minimum number of cutters that cutterhead exhibition angle θ corresponding contour position can be arranged: c1=KLmnd/ (10v), c2=10v [δ]/(Knd), this When, limit abrasion loss [δ]=μ c1, driving distance [L allowablem]=ε c2, μ=s (θ)/n0.333To tunnel coefficient, ε=n0.333/s (θ) is the coefficient of waste;Calculate to obtain critical driving coefficient coefficient of waste μcWith critical wear coefficient εc
7. the cutterhead design method according to claim 1 excavated for the profiling of round rectangle full section of tunnel, feature It is, the cutter, which sequentially joins end to end, is inscribed in the profile of cutterhead, and the position of first cutter is arranged perpendicular to cutter head center Line, i.e., the position coordinates of first cutter are (0,0.5b), wherein b is given blade widths;Pass through simultaneous contour optimization mould Type and tool position calculate to obtain the coordinate of cutter endpoint and its corresponding cutterhead exhibition angle θ, and taking the mean value at cutter both ends exhibition angle is knife Disk center calculates the minimum arrangement quantity of cutter using center corresponding contour abrasion loss as tool abrasion.
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CN110826161A (en) * 2019-11-28 2020-02-21 南京工业大学 Full-face tunneling machine cutter arrangement design method based on stratum conditions
CN111222222A (en) * 2019-11-28 2020-06-02 南京工业大学 Shield cutter head contour design method considering stratum change
CN111222222B (en) * 2019-11-28 2020-08-14 南京工业大学 Shield cutter head contour design method considering stratum change
CN111075468A (en) * 2019-12-30 2020-04-28 中铁工程装备集团有限公司 Novel flexible arm heading machine propulsion system control calculation method
CN111075468B (en) * 2019-12-30 2021-02-23 中铁工程装备集团有限公司 Control calculation method for propulsion system of flexible arm heading machine
CN114395952A (en) * 2021-12-16 2022-04-26 武汉大学 Geometric contour fitting and repairing method for repairing steel rail by water jet
CN114395952B (en) * 2021-12-16 2023-03-07 武汉大学 Geometric contour fitting and repairing method for repairing steel rail by water jet

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