CN108286437B - Logarithmic spiral arrangement method for positive cutters on tunnel boring machine cutter head - Google Patents
Logarithmic spiral arrangement method for positive cutters on tunnel boring machine cutter head Download PDFInfo
- Publication number
- CN108286437B CN108286437B CN201810025013.2A CN201810025013A CN108286437B CN 108286437 B CN108286437 B CN 108286437B CN 201810025013 A CN201810025013 A CN 201810025013A CN 108286437 B CN108286437 B CN 108286437B
- Authority
- CN
- China
- Prior art keywords
- positive
- cutters
- cutter head
- logarithmic
- cutter
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
- 238000000034 method Methods 0.000 title claims abstract description 28
- 238000005520 cutting process Methods 0.000 claims description 9
- 238000009434 installation Methods 0.000 claims description 3
- 239000006185 dispersion Substances 0.000 claims description 2
- 238000010586 diagram Methods 0.000 description 5
- 238000010276 construction Methods 0.000 description 3
- 230000005641 tunneling Effects 0.000 description 3
- 238000009412 basement excavation Methods 0.000 description 2
- 230000005540 biological transmission Effects 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 239000004459 forage Substances 0.000 description 2
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 2
- 241000239290 Araneae Species 0.000 description 1
- 241000237858 Gastropoda Species 0.000 description 1
- 241001481166 Nautilus Species 0.000 description 1
- 238000005299 abrasion Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 150000001875 compounds Chemical class 0.000 description 1
- 238000007796 conventional method Methods 0.000 description 1
- 238000009826 distribution Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 238000005086 pumping Methods 0.000 description 1
- 239000011435 rock Substances 0.000 description 1
Images
Classifications
-
- E—FIXED CONSTRUCTIONS
- E21—EARTH OR ROCK DRILLING; MINING
- E21D—SHAFTS; TUNNELS; GALLERIES; LARGE UNDERGROUND CHAMBERS
- E21D9/00—Tunnels or galleries, with or without linings; Methods or apparatus for making thereof; Layout of tunnels or galleries
- E21D9/06—Making by using a driving shield, i.e. advanced by pushing means bearing against the already placed lining
- E21D9/08—Making by using a driving shield, i.e. advanced by pushing means bearing against the already placed lining with additional boring or cutting means other than the conventional cutting edge of the shield
Landscapes
- Engineering & Computer Science (AREA)
- Mining & Mineral Resources (AREA)
- Environmental & Geological Engineering (AREA)
- Life Sciences & Earth Sciences (AREA)
- General Life Sciences & Earth Sciences (AREA)
- Geochemistry & Mineralogy (AREA)
- Geology (AREA)
- Excavating Of Shafts Or Tunnels (AREA)
- Earth Drilling (AREA)
Abstract
The invention relates toA logarithmic spiral arrangement method of positive cutters on a tunnel boring machine cutter head is characterized in that the arrangement position of cutters on the tunnel boring machine cutter head is determined in a mode that m logarithmic spirals are combined with n concentric circles; the concentric circles are rotary paths of different positive cutters on the cutter head; logarithmic spiral equation is rho ═ rho0×eθcotαIn the formula: rho is the polar diameter and represents the distance from any point on the logarithmic spiral to the origin of coordinates; rho0The included angle between the polar diameter of any point on the logarithmic spiral line and the tangent direction of the point is a certain value α, so that the moving directions of all cutters on the cutter head are equal to the included angle β between the tangent lines of the logarithmic spiral line at the position of the cutter, and the included angles β of all the cutters on the cutter head are kept consistent, so that the integral stress of the cutters on the cutter head is more uniform.
Description
Technical Field
The invention relates to the technical field of design of a cutter head of a tunnel boring machine, in particular to a logarithmic spiral arrangement method of positive cutters on the cutter head of the tunnel boring machine.
Background
The tunnel excavation technology plays an important role in urban infrastructure, a tunnel boring machine (also called a shield machine) is a main development trend of current tunnel boring equipment, a cutter is a key component of the shield machine, and whether the arrangement of the cutter on a cutter head is reasonable or not can directly influence the service life of the cutter, and further influence the construction quality, the construction cost, the construction efficiency and the like. The reasonable arrangement of the cutters on the cutter head is a core technology for realizing stable and efficient tunneling of the cutter head, and the main design principle of the cutter arrangement is as follows: 1) the overturning moment is reduced as much as possible; 2) the stress on each part of the cutter head is uniform as much as possible; 3) the loads borne by each cutter during rock breaking are equal as much as possible; 4) the tunneling resistance is reduced as much as possible.
Cutters on a tunnel boring machine cutterhead are generally divided into hobs, cutters, scrapers and the like according to types, and are generally divided into a center cutter, a positive cutter and an edge cutter according to arrangement positions. The central cutter is generally arranged in a straight shape or a cross shape due to the characteristics of small turning radius, small linear speed and the like when the rotating speed of the cutter head is the same. The arrangement mode of the edge cutters is relatively fixed. At present, the arrangement mode of the main cutters on the cutter head mainly comprises a method of arrangement in a shape of a Chinese character 'mi', arrangement of concentric circles and arrangement of Archimedes spiral lines. In the actual use process, different problems exist, such as uneven cutter stress, inconsistent wear, large overturning moment and the like, so that a more reasonable arrangement mode of the positive cutter on the cutter head needs to be researched.
The logarithmic spiral is called equiangular spiral and features that the included angle between the polar diameter of any point and the tangent of the point is equal. The logarithmic spiral is very common in nature due to the equiangular characteristics of the logarithmic spiral, for example, shells of snails and nautilus are constructed according to the logarithmic spiral, the structure of spider nets is in the shape of logarithmic spiral threads, and wind belts of typhoon and tornado are also distributed according to the logarithmic spiral threads. In agriculture, forage is cut by a fodder chopper with a logarithmic spiral blade, and the forage cutter is fast and labor-saving. In engineering design, the logarithmic spiral is applied to the design of the hyperbolic arch dam, has remarkable advantages in the aspects of reducing engineering quantity, improving stress distribution of a dam body and increasing stability of a dam shoulder compared with other secondary curve type arch rings such as an arc line, and damages the shield tunnel excavation surface and the slope foundation along the logarithmic spiral. In the industry, the turbine blade of the water pump is designed according to the shape of a logarithmic spiral, so that water pumping is stable; the logarithmic spiral line is applied to the cam profile curve of the cam mechanism, so that the transmission process is more stable, and the stress values of the driving part and the driven part are reduced, thereby solving the problem of serious mechanism abrasion. The logarithmic spiral eccentric clamping mechanism has the advantages of constant lead angle, long self-locking stroke range and constant self-locking force. The logarithmic spiral bevel gear can realize the equal pitch angle in the meshing direction of the tooth length, so that the transmission is more stable, the bearing capacity is higher, and the service life is longer. The scanning track of the spiral CT advances in a spiral shape, so that the volume scanning of a human body can be completed quickly, and the quality of a three-dimensional reconstruction image is improved. The logarithmic spiral is used for designing the spacecraft interception orbit, can shorten the operation time of the aircraft, and is applied to designing the radar antenna.
Disclosure of Invention
The invention provides a logarithmic spiral arrangement method of positive cutters on a cutterhead of a tunnel boring machine, which is simple and can keep included angles β of all cutters on the cutterhead consistent, so that the overall stress of the cutters on the cutterhead is more uniform.
In order to achieve the purpose, the invention adopts the following technical scheme:
a logarithmic spiral arrangement method for positive cutters on a tunnel boring machine cutter head is characterized in that the arrangement position of cutters on the tunnel boring machine cutter head is determined in a mode that m logarithmic spirals are combined with n concentric circles; the concentric circles are rotary paths of different positive cutters on the cutter head; logarithmic spiral equation is rho ═ rho0×eθcotαIn the formula: rho is the polar diameter and represents the distance from any point on the logarithmic spiral to the origin of coordinates; rho0The included angle between the polar diameter of any point on the logarithmic spiral line and the tangent direction of the point is a certain value α, so that the included angles β between the moving directions of all cutters on the cutter head and the tangent of the logarithmic spiral line at the position of the cutter are equal.
A logarithmic spiral arrangement method for positive cutters on a tunnel boring machine cutter head specifically comprises the following steps:
1) determining relevant parameters of concentric circles, including the number n of the concentric circles and the radius of each concentric circle;
according to design requirements, firstly determining the number n of positive knives to be arranged and the distance between adjacent knives;the positive cutter is sequentially numbered as Z from the center of the cutter head to the outside according to different turning radiusesi(i is 1,2, 3. cndot. n), and the serial number S is set between adjacent knivesj(j ═ 1.2, 3. cndot. n-1); spacing S between adjacent knivesiMeans the radius difference of the concentric circles where the positive cutters are positioned on two adjacent turning radii, namely S1Correcting knife Z1And Z2A distance of (S)2Correcting knife Z2And Z3Spacing, and so on, Sn-1Correcting knife Zn-1And ZnSpacing;
according to the positive knife Z nearest to the center of the cutterhead1Radius of the concentric circle and each SjThe value determines the radius R of the concentric circle where each positive cutter is positionedi(i is 1,2, 3. cndot.) n, drawing n concentric circles with the center of the cutter head as the center of the circle on the cutter head, and sequentially arranging the concentric circles with the positive cutters outwards from the center of the cutter head as a serial number Ti(i＝1,2,3···n)；
2) Determining log-helix related parameters including initial pole diameter rho0And helix angle α, and number of helices m:
initial pole diameter rho0The value of (A) may be taken as the radius of the concentric circle on which the positive blade having the smallest radius of gyration is located, i.e. the positive blade Z1Radius value R of concentric circle1Namely: rho0＝R1The radius of the concentric circle where the center cutter with the largest radius of gyration is located can also be selected, or the radius of the concentric circle where other positive cutters are located is selected according to actual needs, but rho is ensured0≤R1；
The helix angle α value is determined according to actual needs, in the same area, the larger the α value is, the more the revolution number of logarithmic helix, the larger the curvature of curve in the same polar angle range is, the smaller the α value is, the less the revolution number is, the smaller the curvature is, in order to reduce the overturning moment as much as possible, the stress of a cutter head is more uniform, the number m of logarithmic helix lines is determined as an even number, in addition, in order to make the number of positive cutters arranged on each helix line equal, the number n of concentric circles can be preferably divided by the number m of helix lines in an integer way, if the number can not be divided in an integer way, the remainder is;
the initial position of each logarithmic spiral is uniformly distributed at the radius rho0On a concentric circle of (a); will be provided withThe logarithmic spirals are sequentially provided with the serial numbers L according to the clockwise or anticlockwise sequencek(k＝1,2,3···m)；
3) Selecting the arrangement position of the positive cutter at the intersection point of each concentric circle and the logarithmic spiral:
firstly, determining the position of a positive cutter on each spiral line closest to the center of the cutter head, namely the initial positive cutter position on each spiral line; the determination method comprises the following steps: selecting the intersection point of the spiral line serial number and the corresponding concentric circle serial number as the positive cutter Z1-ZmThe arrangement position of (a); if m logarithmic spirals are arranged in total, the spiral L1And the concentric circle T1The intersection point is a positive knife Z1Is arranged in the spiral line L2And the concentric circle T2The intersection point is a positive knife Z2And so on, the spiral line LmAnd the concentric circle TmThe intersection point is a positive knife ZmThe arrangement position of (a);
then, determining the arrangement positions of the rest positive knives on each spiral line; the determination method comprises the following steps: starting from the concentric circle where the initial positive cutter is located and determined by the spiral line, arranging cutters every m-1 concentric circles; such as: helix LkAnd the ith concentric circle TiThe intersection point of the two straight cutting edges is the initial straight cutting edge position on the spiral line, and the arrangement positions of the other straight cutting edges on the spiral line are respectively LkAnd the concentric circle Ti+m、Ti+2mThe intersection point of the positive cutters is repeated until the number of the residual concentric circles on the outer ring of the arranged positive cutters is less than m;
finally, arranging corresponding cutters on the determined positions of the cutters, wherein the installation direction of the cutters is tangent to the concentric circles where the cutters are located.
The drawing method of the logarithmic spiral is as follows: after determining the logarithmic spiral parameters, the polar coordinates are converted into a rectangular form, i.e., x is rho0×cos(θ)×ecot(α)×θ，y＝ρ0×sin(θ)×ecot(α)×θAnd drawing 1 corresponding logarithmic spiral by utilizing a spline curve function driven by an equation in SoliDWorks software, wherein the rest logarithmic spiral can be arrayed according to the number m of logarithmic spirals and the circumference of the rotary center of the cutter head.
Compared with the prior art, the invention has the beneficial effects that:
1) the included angle between the polar diameter of any point on the logarithmic spiral line and the tangential direction of the point is a certain value (as shown in figure 1 a), so that the motion directions of all cutters on the cutter head are equal to the included angle β (as shown in figure 1 b) of the tangential line of the logarithmic spiral line at the position of the cutter, and the integral stress of the cutters on the cutter head is more uniform;
2) the cutter arrangement method is simple, the arrangement of the cutters on the cutter head can be adjusted by adjusting the number and the diameter of different concentric circles and changing the K value according to parameter requirements of the number, the distance and the like of the cutters of different types, and the included angles β of all the cutters on the cutter head are consistent no matter how the arrangement is changed;
3) the dispersion degree of the cutter on the cutter head can be adjusted by adjusting the value of the logarithmic spiral helix angle α, so that the integral stress of the cutter head is more uniform.
Drawings
Fig. 1a is a schematic diagram of the structure of the logarithmic spiral of the present invention.
Fig. 1b is a schematic diagram of the structure of the logarithmic spiral of the present invention.
Fig. 2 is a schematic diagram of a logarithmic spiral arrangement method of positive cutters on a cutterhead of the tunnel boring machine according to the present invention.
FIG. 3 is a schematic representation of step 1) in the embodiment of the present invention.
FIG. 4 is a schematic diagram of step 2) in the embodiment of the present invention.
FIG. 5 is a schematic diagram of step 3) in the embodiment of the present invention.
Fig. 6 is a partially enlarged view of a straight knife disposed on a logarithmic spiral in the embodiment of the present invention.
Detailed Description
The following further describes embodiments of the present invention with reference to the accompanying drawings:
the invention relates to a logarithmic spiral arrangement method of positive cutters on a tunnel boring machine cutter head, which determines the arrangement position of cutters on the tunnel boring machine cutter head by adopting a mode of combining m logarithmic spirals with n concentric circles; the concentric circles areThe rotary paths of different positive cutters on the cutter head; logarithmic spiral equation is rho ═ rho0×eθcotαIn the formula: rho is the polar diameter and represents the distance from any point on the logarithmic spiral to the origin of coordinates; rho0The included angle between the polar diameter of any point on the logarithmic spiral line and the tangent direction of the point is a certain value α, so that the included angles β between the moving directions of all cutters on the cutter head and the tangent of the logarithmic spiral line at the position of the cutter are equal.
A logarithmic spiral arrangement method for positive cutters on a tunnel boring machine cutter head specifically comprises the following steps:
1) determining relevant parameters of concentric circles, including the number n of the concentric circles and the radius of each concentric circle;
according to design requirements, firstly determining the number n of positive knives to be arranged and the distance between adjacent knives; the positive cutter is sequentially numbered as Z from the center of the cutter head to the outside according to different turning radiusesi(i is 1,2, 3. cndot. n), and the serial number S is set between adjacent knivesj(j ═ 1.2, 3. cndot. n-1); spacing S between adjacent knivesiMeans the radius difference of the concentric circles where the positive cutters are positioned on two adjacent turning radii, namely S1Correcting knife Z1And Z2A distance of (S)2Correcting knife Z2And Z3Spacing, and so on, Sn-1Correcting knife Zn-1And ZnSpacing;
according to the positive knife Z nearest to the center of the cutterhead1Radius of the concentric circle and each SjThe value determines the radius R of the concentric circle where each positive cutter is positionedi(i is 1,2, 3. cndot.) n, drawing n concentric circles with the center of the cutter head as the center of the circle on the cutter head, and sequentially arranging the concentric circles with the positive cutters outwards from the center of the cutter head as a serial number Ti(i＝1,2,3···n)；
2) Determining log-helix related parameters including initial pole diameter rho0And helix angle α, and number of helices m:
initial pole diameter rho0The value of (A) may be taken as the positive cutter with the smallest radius of gyrationRadius of concentric circle, i.e. positive tool Z1Radius value R of concentric circle1Namely: rho0＝R1The radius of the concentric circle where the center cutter with the largest radius of gyration is located can also be selected, or the radius of the concentric circle where other positive cutters are located is selected according to actual needs, but rho is ensured0≤R1；
The helix angle α value is determined according to actual needs, in the same area, the larger the α value is, the more the revolution number of logarithmic helix, the larger the curvature of curve in the same polar angle range is, the smaller the α value is, the less the revolution number is, the smaller the curvature is, in order to reduce the overturning moment as much as possible, the stress of a cutter head is more uniform, the number m of logarithmic helix lines is determined as an even number, in addition, in order to make the number of positive cutters arranged on each helix line equal, the number n of concentric circles can be preferably divided by the number m of helix lines in an integer way, if the number can not be divided in an integer way, the remainder is;
the initial position of each logarithmic spiral is uniformly distributed at the radius rho0On a concentric circle of (a); the logarithmic spirals are sequentially numbered as L according to the clockwise or anticlockwise sequencek(k＝1,2,3···m)；
3) Selecting the arrangement position of the positive cutter at the intersection point of each concentric circle and the logarithmic spiral:
firstly, determining the position of a positive cutter on each spiral line closest to the center of the cutter head, namely the initial positive cutter position on each spiral line; the determination method comprises the following steps: selecting the intersection point of the spiral line serial number and the corresponding concentric circle serial number as the positive cutter Z1-ZmThe arrangement position of (a); if m logarithmic spirals are arranged in total, the spiral L1And the concentric circle T1The intersection point is a positive knife Z1Is arranged in the spiral line L2And the concentric circle T2The intersection point is a positive knife Z2And so on, the spiral line LmAnd the concentric circle TmThe intersection point is a positive knife ZmThe arrangement position of (a);
then, determining the arrangement positions of the rest positive knives on each spiral line; the determination method comprises the following steps: starting from the concentric circle where the initial positive cutter is located and determined by the spiral line, arranging cutters every m-1 concentric circles; such as: screw threadLine LkAnd the ith concentric circle TiThe intersection point of the two straight cutting edges is the initial straight cutting edge position on the spiral line, and the arrangement positions of the other straight cutting edges on the spiral line are respectively LkAnd the concentric circle Ti+m、Ti+2mThe intersection point of the positive cutters is repeated until the number of the residual concentric circles on the outer ring of the arranged positive cutters is less than m;
finally, arranging corresponding cutters on the determined positions of the cutters, wherein the installation direction of the cutters is tangent to the concentric circles where the cutters are located.
The drawing method of the logarithmic spiral is as follows: after determining the logarithmic spiral parameters, the polar coordinates are converted into a rectangular form, i.e., x is rho0×cos(θ)×ecot(α)×θ，y＝ρ0×sin(θ)×ecot(α)×θAnd drawing 1 corresponding logarithmic spiral by utilizing a spline curve function driven by an equation in SoliDWorks software, wherein the rest logarithmic spiral can be arrayed according to the number m of logarithmic spirals and the circumference of the rotary center of the cutter head.
The following examples are carried out on the premise of the technical scheme of the invention, and detailed embodiments and specific operation processes are given, but the scope of the invention is not limited to the following examples. The methods used in the following examples are conventional methods unless otherwise specified.
[ examples ] A method for producing a compound
In the embodiment, 70 hobs are arranged according to the design parameters of the cutter head of the tunneling machine of a specific operation object, wherein the hobs comprise 8 central hobs, the distance between the central hob of the innermost ring and the center of the cutter head is 45mm, and the distance between the hobs is 70 mm; the positive hob 54 has a pitch of between 57 and 70mm (for a better clarity of the method according to the invention, the pitch of the positive hob is set uniformly to 60mm in this example).
The logarithmic spiral arrangement method for the positive cutters on the cutterhead of the tunnel boring machine, which is disclosed by the invention, comprises the following steps of:
1) setting relevant parameters of concentric circles;
in the present embodiment, 54 positive hob cutters are used in total, and if n is 54, the positive hob cutter closest to the center of the cutterhead is set to Z1The other positive hobs are sequentially set to be Z2、Z3…Z54The corresponding concentric circles have a radius R1When the distance between the cutters is uniformly set to 60mm, S is equal to 45+70 × 7+65, which is 600mm (where 45 is the position of the center cutter at the innermost circle, 70 × 7 is the sum of the distances between the center cutters of 8 pairs, and 65 is the distance between the center cutter at the outermost circle and the positive cutter at the innermost circle)1＝S2＝…＝Sn-160 mm. The radii of the other concentric circles are respectively: r2＝660mm，R3＝720mm…R54＝3680mm。
Drawing 54 concentric circles with the center of the cutter head as the center of the circle on the cutter head in sequence, and numbering the concentric circles from the center to the outside in sequence as T1、T2…T54As shown in fig. 3.
2) Determining related parameters of a logarithmic spiral;
taking rho0＝R1I.e. p0600, α is 45 °, m is 6, that is, 6 log helices are provided, and the corresponding log helix equation is ρ 600 × eθcot45The equation is converted into a rectangular coordinate system in the form of x being 600 × cos (θ) × ecot(45)×θ，y＝600×sin(θ)×ecot(45)×θDrawing 1 logarithmic spiral line by using spline curve function driven by equation in SoliZWorks software, and numbering the spiral lines as L in sequence according to the circumferential array of the center of the cutter head1-L6As shown in fig. 4.
3) Selecting the position of a cutter at the intersection point of the concentric circle and the logarithmic spiral;
firstly, determining the arrangement position of the positive hob nearest to the center of the cutter head on each spiral line, and taking the intersection point of the increase of the number sequence of the logarithmic spiral lines and the increase of the number sequence of the corresponding concentric circles as a positive hob Z1～Z6At the arrangement position of (1), i.e. at L1And T1Arrangement of Z at the intersection1At L2And T2Is arranged at the intersection point of2At L3And T3Is arranged at Z3 at L4And T4Is arranged at the intersection point of4At L5And T5Is arranged at the intersection point of5At L6And T6Is arranged at the intersection point of6。
And then determining the positions of other cutters on each spiral line, and arranging one cutter every m-1 concentric circles from the concentric circle where the initial cutter of a certain spiral line is determined to be located until the number of the remaining concentric circles on the outer circle of the arranged cutter is less than m. I.e., L1The positions of the upper rest cutters are respectively L1And T7、T13、T19、T25、T31、T37、T43And T49At the intersection of (A), (B), L2The positions of the upper rest cutters are respectively L2And T8、T14、T20、T26、T32、T38、T44And T50At the intersection point, by analogy, L6The positions of the upper rest cutters are respectively L6And T12、T18、T24、T30、T36、T42、T48And T54At the intersection of (a) and (b).
The final determined hob arranging position of the present embodiment is shown in fig. 5. With L2For example, the positions of the hob arranged on a certain spiral line are shown in fig. 6.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art should be considered to be within the technical scope of the present invention, and the technical solutions and the inventive concepts thereof according to the present invention should be equivalent or changed within the scope of the present invention.
Claims (2)
1. A logarithmic spiral arrangement method for positive cutters on a tunnel boring machine cutter head is characterized in that the arrangement position of the cutters on the tunnel boring machine cutter head is determined in a mode that m logarithmic spirals are combined with n concentric circles; the concentric circles are rotary paths of different positive cutters on the cutter head; logarithmic spiral equation is rho ═ rho0×eθcotαIn the formula: rho is the polar diameter and represents the distance from any point on the logarithmic spiral to the origin of coordinates; rho0Initial pole diameter, theta polar angle, and α helix angle, representing pairsThe included angle between the polar diameter of any point on the logarithmic spiral line and the tangential direction of the point is a certain value α, so that the motion directions of all cutters on the cutter head are equal to the included angle β of the logarithmic spiral tangent line of the position of the cutter, the dispersion degree of the cutters on the cutter head can be adjusted by adjusting the value of the logarithmic spiral helix angle α, and the whole stress of the cutter head is more uniform;
the method specifically comprises the following steps:
1) determining relevant parameters of concentric circles, including the number n of the concentric circles and the radius of each concentric circle;
according to design requirements, firstly determining the number n of positive knives to be arranged and the distance between adjacent knives; the positive cutter is sequentially numbered as Z from the center of the cutter head to the outside according to different turning radiusesi(i is 1,2, 3. cndot. n), and the serial number S is set between adjacent knivesj(j ═ 1.2, 3. cndot. n-1); spacing S between adjacent knivesiMeans the radius difference of the concentric circles where the positive cutters are positioned on two adjacent turning radii, namely S1Correcting knife Z1And Z2A distance of (S)2Correcting knife Z2And Z3Spacing, and so on, Sn-1Correcting knife Zn-1And ZnSpacing;
according to the positive knife Z nearest to the center of the cutterhead1Radius of the concentric circle and each SjThe value determines the radius R of the concentric circle where each positive cutter is positionedi(i is 1,2, 3. cndot.) n, drawing n concentric circles with the center of the cutter head as the center of the circle on the cutter head, and sequentially arranging the concentric circles with the positive cutters outwards from the center of the cutter head as a serial number Ti(i＝1,2,3···n)；
2) Determining log-helix related parameters including initial pole diameter rho0And helix angle α, and number of helices m:
initial pole diameter rho0The value of (A) may be taken as the radius of the concentric circle on which the positive blade having the smallest radius of gyration is located, i.e. the positive blade Z1Radius value R of concentric circle1Namely: rho0＝R1The radius of the concentric circle where the center knife with the largest radius of gyration is located can be selected, or the radius can be selected according to actual needsThe radius of the concentric circle of other positive cutters is selected, but rho is ensured0≤R1；
The helix angle α value is determined according to actual needs, in the same area, the larger the α value is, the more the revolution number of logarithmic helix, the larger the curvature of curve in the same polar angle range is, the smaller the α value is, the less the revolution number is, the smaller the curvature is, in order to reduce the overturning moment as much as possible, the stress of a cutter head is more uniform, the number m of logarithmic helix lines is determined as an even number, in addition, in order to make the number of positive cutters arranged on each helix line equal, the number n of concentric circles can be preferably divided by the number m of helix lines in an integer way, if the number can not be divided in an integer way, the remainder is;
the initial position of each logarithmic spiral is uniformly distributed at the radius rho0On a concentric circle of (a); the logarithmic spirals are sequentially numbered as L according to the clockwise or anticlockwise sequencek(k＝1,2,3···m)；
3) Selecting the arrangement position of the positive cutter at the intersection point of each concentric circle and the logarithmic spiral:
firstly, determining the position of a positive cutter on each spiral line closest to the center of the cutter head, namely the initial positive cutter position on each spiral line; the determination method comprises the following steps: selecting the intersection point of the spiral line serial number and the corresponding concentric circle serial number as the positive cutter Z1-ZmThe arrangement position of (a); if m logarithmic spirals are arranged in total, the spiral L1And the concentric circle T1The intersection point is a positive knife Z1Is arranged in the spiral line L2And the concentric circle T2The intersection point is a positive knife Z2And so on, the spiral line LmAnd the concentric circle TmThe intersection point is a positive knife ZmThe arrangement position of (a);
then, determining the arrangement positions of the rest positive knives on each spiral line; the determination method comprises the following steps: starting from the concentric circle where the initial positive cutter is located and determined by the spiral line, arranging cutters every m-1 concentric circles; such as: helix LkAnd the ith concentric circle TiThe intersection point of the two straight cutting edges is the initial straight cutting edge position on the spiral line, and the arrangement positions of the other straight cutting edges on the spiral line are respectively LkAnd the concentric circle Ti+m、Ti+2mThe intersection point ofRepeating the steps until the number of the remaining concentric circles on the outer ring of the arranged positive cutter is less than m;
finally, arranging corresponding cutters on the determined positions of the cutters, wherein the installation direction of the cutters is tangent to the concentric circles where the cutters are located.
2. The method according to claim 1, wherein the logarithmic spiral is drawn by: after determining the logarithmic spiral parameters, the polar coordinates are converted into a rectangular form, i.e., x is rho0×cos(θ)×ecot(α)×θ，y＝ρ0×sin(θ)×ecot(α)×θAnd drawing 1 corresponding logarithmic spiral by utilizing a spline curve function driven by an equation in SoliDWorks software, wherein the rest logarithmic spiral can be arrayed according to the number m of logarithmic spirals and the circumference of the rotary center of the cutter head.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810025013.2A CN108286437B (en) | 2018-01-11 | 2018-01-11 | Logarithmic spiral arrangement method for positive cutters on tunnel boring machine cutter head |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810025013.2A CN108286437B (en) | 2018-01-11 | 2018-01-11 | Logarithmic spiral arrangement method for positive cutters on tunnel boring machine cutter head |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN108286437A CN108286437A (en) | 2018-07-17 |
| CN108286437B true CN108286437B (en) | 2020-02-21 |
Family
ID=62835063
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201810025013.2A Expired - Fee Related CN108286437B (en) | 2018-01-11 | 2018-01-11 | Logarithmic spiral arrangement method for positive cutters on tunnel boring machine cutter head |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN108286437B (en) |
Families Citing this family (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109854179B (en) * | 2018-12-21 | 2021-01-26 | 太重（天津）滨海重型机械有限公司 | Drilling tool of pile top drilling machine |
| CN111070028B (en) * | 2019-11-26 | 2022-06-14 | 天津津航技术物理研究所 | Method for designing optical processing track of non-rotationally symmetrical surface |
| CN110826161B (en) * | 2019-11-28 | 2020-07-28 | 南京工业大学 | Full-face tunneling machine cutter arrangement design method based on stratum conditions |
| CN115369732B (en) * | 2022-07-11 | 2023-10-03 | 江苏徐工工程机械研究院有限公司 | Method for arranging cutters of crushing device and crushing device |
| CN115853529B (en) * | 2022-11-22 | 2023-07-25 | 中南大学 | Tunnel boring machine and tunnel reverse expanding method |
| CN116519422B (en) * | 2023-06-28 | 2023-09-26 | 河北工业大学 | Method for planning 3D printing cutting path of rock mass model variable-opening fracture and forming device |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2059123U (en) * | 1989-02-26 | 1990-07-11 | 田大学 | Curve cutting knife blade |
| CN2095081U (en) * | 1991-01-11 | 1992-02-05 | 沈醒迪 | Arc blade wire severing pincers |
| CN201183259Y (en) * | 2008-04-03 | 2009-01-21 | 韩先锋 | Logarithm spiral gauge |
| CN101457646A (en) * | 2009-01-05 | 2009-06-17 | 华北电力大学 | Balancing arrangement method on cutterhead for positive hobbing cutter and transition hobbing cutter |
| CN203937019U (en) * | 2014-06-29 | 2014-11-12 | 广西科亮路桥机械有限公司 | A kind of concrete drums abrasion-proof helical blade |
-
2018
- 2018-01-11 CN CN201810025013.2A patent/CN108286437B/en not_active Expired - Fee Related
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2059123U (en) * | 1989-02-26 | 1990-07-11 | 田大学 | Curve cutting knife blade |
| CN2095081U (en) * | 1991-01-11 | 1992-02-05 | 沈醒迪 | Arc blade wire severing pincers |
| CN201183259Y (en) * | 2008-04-03 | 2009-01-21 | 韩先锋 | Logarithm spiral gauge |
| CN101457646A (en) * | 2009-01-05 | 2009-06-17 | 华北电力大学 | Balancing arrangement method on cutterhead for positive hobbing cutter and transition hobbing cutter |
| CN203937019U (en) * | 2014-06-29 | 2014-11-12 | 广西科亮路桥机械有限公司 | A kind of concrete drums abrasion-proof helical blade |
Also Published As
| Publication number | Publication date |
|---|---|
| CN108286437A (en) | 2018-07-17 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN108286437B (en) | Logarithmic spiral arrangement method for positive cutters on tunnel boring machine cutter head | |
| CN101774048B (en) | Bevel gear machining method | |
| CN102398087B (en) | Method for machining bevelled wheel cogging in a continuous machining method | |
| CN102773570B (en) | The forming method of internal thread and the assembly including matrix and screw tool | |
| US9683537B2 (en) | Turbine for a hydroelectric power plant and hydroelectric power plant | |
| CN109408976B (en) | Design method of three-stage radiation type arc-shaped toothed grinding disc | |
| CN103994195A (en) | Hydraulic torque converter blade modeling method based on Joukowsky molded lines | |
| CN1354705A (en) | Spherical cutting tool | |
| CN104405830B (en) | Collaborative construction method for cylindrical envelope molded lines of two side faces of star wheel teeth | |
| CN110705064B (en) | Design method of rotary chamfering tool, designed tool and use method thereof | |
| US9862038B2 (en) | Rotary cutting tool with unequal indexing, alternating helix angle and varying helix angle along length of cut | |
| CN109026042A (en) | A kind of propulsion system distributed automatically for shield anti-bias load | |
| CN110532652A (en) | A kind of chamfering blades line parameterization design method of the cylinder tack with chamfering end mill | |
| CN106677241A (en) | Bionic dredging reamer | |
| CN110788412B (en) | Design method for integral cutter head of cycloidal-tooth bevel gear | |
| CN103223533A (en) | Method for designing side rear angle surfaces of double-enveloping ring surface worm gear hob | |
| CN209363697U (en) | A kind of double helix blade milling cutter | |
| CN206286612U (en) | A kind of chip discharging structure of drill bit | |
| CN103711501A (en) | Rectangular cutting cutterhead for engineering | |
| CN109175455A (en) | A kind of boring row device and continuous boring process suitable for mangler shaft flange bolt hole | |
| CN107143347A (en) | Cutting head of roadheader and development machine | |
| US1643474A (en) | Spiral cutter | |
| CN214464137U (en) | Coal mining machine roller suitable for cutting hard rock and hard coal | |
| CN208116862U (en) | A kind of eight blade milling cutters | |
| CN206681746U (en) | A kind of shield cutter structure of five support arms |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| TR01 | Transfer of patent right |
Effective date of registration: 20211222 Address after: 226600 No.77 Xiyuan Avenue, Hai'an high tech Zone, Nantong City, Jiangsu Province Patentee after: Nantong earth Machinery Manufacturing Co.,Ltd. Address before: 114044, No. 185, Qianshan Road, hi tech Zone, Liaoning, Anshan Patentee before: University of Science and Technology Liaoning |
|
| TR01 | Transfer of patent right | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20200221 Termination date: 20220111 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |