WO2024125198A1 - Method for calculating interaction force between rock digging cutter teeth and rock - Google Patents

Method for calculating interaction force between rock digging cutter teeth and rock Download PDF

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WO2024125198A1
WO2024125198A1 PCT/CN2023/131978 CN2023131978W WO2024125198A1 WO 2024125198 A1 WO2024125198 A1 WO 2024125198A1 CN 2023131978 W CN2023131978 W CN 2023131978W WO 2024125198 A1 WO2024125198 A1 WO 2024125198A1
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rock
cutting
cutter teeth
interaction force
teeth
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PCT/CN2023/131978
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Chinese (zh)
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梁鑫
刘功勋
金鹏
王费新
尹纪富
洪国军
谢康
陆寅松
周忠玮
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中交疏浚技术装备国家工程研究中心有限公司
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Publication of WO2024125198A1 publication Critical patent/WO2024125198A1/en

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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/02—Reliability analysis or reliability optimisation; Failure analysis, e.g. worst case scenario performance, failure mode and effects analysis [FMEA]
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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    • Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

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  • the present invention relates to a method for calculating the acting force in the field of dredging engineering and rock cutting technology, in particular to a method for calculating the interaction force between a rock cutting tooth and a rock with unified dimensions and comprehensive consideration of various cutting parameters.
  • the present invention proposes a method for calculating the interaction force between rock cutter teeth and rocks.
  • the present invention has the advantages of unified dimensions, comprehensive consideration of various cutting parameters and relatively accurate results.
  • the method can more accurately estimate the resistance encountered by rock cutter teeth when cutting weathered rocks, which is of great significance to the rock cutting and crushing problems encountered during the dredging process of port and waterway construction.
  • the present invention is realized by the following technical scheme:
  • the present invention provides a method for calculating the interaction force between rock cutting teeth and rocks, comprising the following steps:
  • Step 1 Determine the rock type and the cutter teeth for rock excavation
  • Step 2 Determine the tensile and compressive strength of the rock
  • Step 3 measuring the tooth tip radius of the cutter teeth
  • Step 4 determine the parameters related to cutting angle and cutting depth
  • Step 5 conducting a linear rock cutting test of the cutter teeth to determine the relationship between the cross-sectional area of the cutting groove and the cutting depth;
  • Step 6 Calculate the peak value of the interaction force between the rock cutter teeth and the rock, i.e., the peak cutting force resistance:
  • Fa is the average cutting resistance
  • unit is kN; K is the constant coefficient.
  • the rock compressive strength ⁇ c is the unconfined compressive strength, which is measured by an unconfined tensile strength test; the rock tensile strength ⁇ t is measured by a Brazilian splitting test.
  • g( ⁇ ) is a quadratic function related to the cutting angle ⁇ , and the specific functional relationship is related to the rock material and the tooth material, and can be fitted through experimental results.
  • K is a constant coefficient, and its value ranges from 1.2 to 1.6 according to different rock types, and can be determined based on a test of linear rock cutting by cutter teeth.
  • the cutting groove is a quantity that is quadratically related to the cutting depth and can be obtained by measuring a rock linear cutting test.
  • a linear cutting test of rock is performed using a rock cutting cutter tooth to obtain a cutting groove, and several sections are taken from the cutting groove to measure the cutting depth and the area of the cross section to obtain a relationship A(d) between the cross section area and the cutting depth.
  • Rock strength measurements include unconfined compressive strength ⁇ c and tensile strength ⁇ t .
  • the unconfined compressive strength can be measured by the unconfined tensile strength test, and the tensile strength can be measured by the Brazilian splitting test.
  • the influence of rock strength on resistance also needs to consider the influence of cutting angle ⁇ , which is the angle between the cutter tooth cutting rock surface and the horizontal direction.
  • the influence of cutting angle is expressed as the ratio of tensile strength ⁇ t to unconfined compressive strength ⁇ c.
  • the index of g( ⁇ ) is a quadratic function related to the cutting angle ⁇ . The specific functional relationship is related to the rock material and the tooth material, and can be fitted through the test results.
  • the bluntness of the cutter teeth is a quantity related to the fillet radius of the cutter teeth tip.
  • r is the fillet radius of the cutter teeth tip.
  • r 0; when the cutter teeth are blunt, the size of r is the fillet radius between the cutter teeth.
  • r 0 is the correction value of r, which is the absolute value of the intersection of the F p -r relationship curve and the r axis.
  • the present invention has the following beneficial effects:
  • the present invention comprehensively considers various parameters when the cutter teeth cut rocks, including the parameters of the rock itself (e.g., unconfined compressive strength, shear strength, etc.), the parameters of the cutter teeth (e.g., bluntness of the cutter teeth, etc.), and the parameters reflecting the interaction between the two (e.g., cross-sectional area of the groove formed, cutting angle, etc.).
  • the use of more comprehensive parameters can make the output cutting resistance closer to the actual value.
  • the present invention comprehensively considers the cutting failure process in three-dimensional conditions, and the tensile strength, groove cross-sectional area, etc. used in the present invention can reflect the three-dimensional characteristics of cutting.
  • the dimensions of the left and right sides of the equation of the present invention are consistent.
  • the dimension of the resistance estimation model in the present invention is m 2 ⁇ Pa, which is consistent with the dimension of force N and is more practical.
  • Fig. 1 is a flow chart of the present invention
  • FIG2 is a schematic diagram of a rock crushing process according to an embodiment of the present invention.
  • FIG3 is a schematic diagram of the bluntness fillet radius of a blade tooth in an embodiment of the present invention.
  • FIG. 4 is a diagram showing the corresponding relationship between the theoretical value obtained by the calculation formula and the actual test value in the embodiment of the present invention.
  • the present invention provides a method for calculating the interaction force between a rock cutting tool tooth and a rock.
  • the specific implementation process is shown in FIG1 and includes the following steps:
  • Step 1 Determine the rock type and the cutter teeth for rock excavation
  • Step 2 Determine the tensile and compressive strength of the rock
  • Step 3 measuring the tooth tip radius of the cutter teeth
  • Step 4 determine the parameters related to cutting angle and cutting depth
  • Step 5 conducting a linear rock cutting test of the cutter teeth to determine the relationship between the cross-sectional area of the cutting groove and the cutting depth;
  • Step 6 Calculate the peak value of the interaction force between the rock cutter teeth and the rock, i.e., the peak cutting resistance, by the following formula:
  • Fa is the average cutting resistance
  • unit is kN; K is the constant coefficient.
  • this embodiment uses weathered rock as a cutting rock sample for testing, the size of the cutting rock sample is 100cm ⁇ 45cm ⁇ 10cm, and the cutting surface is flat.
  • the teeth used in the test are sharp teeth.
  • step 2 the rock compressive strength ⁇ c is measured to be 16.51 MPa through the unconfined tensile strength test; the rock tensile strength ⁇ t is measured to be 1.47 MPa through the Brazilian splitting test.
  • step 4 the cutting angle of the cutter teeth is determined to be 40° to 60° (ie, the angle between the front cutting surface of the cutter teeth and the horizontal direction, ⁇ in FIG. 2 ), and the cutting depth is determined to be 0.5 cm to 3.0 cm.
  • a force sensor is installed on the cutter teeth to monitor the cutting resistance of the cutter teeth during cutting.
  • the test uses a constant cutting speed of 0.5 m/s and changes the cutting depth of the cutter teeth from 0.5 cm to 3.0 cm and the cutting angle The angle is 40° to 60°, and the cutting force on the cutter teeth is monitored over time under different working conditions.
  • the constant coefficient K ranges from 1.2 to 1.6 according to the type of rock, and can be determined according to the linear rock cutting test of the cutter teeth.
  • the ratio K of the peak cutting force Fp to the average cutting force Fa is 1.2, and the expression of the average cutting force Fa is:
  • the simulation results calculated using the peak cutting force formula are compared with the results obtained by the force sensor in the actual experiment, and the results are shown in Figure 4.
  • the horizontal axis represents the experimental data
  • the vertical axis represents the simulation data

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Abstract

A method for calculating the interaction force between rock digging cutter teeth and rock in the technical fields of dredging engineering and rock cutting. The method comprises the following steps: determining the type of rock and rock digging cutter teeth; measuring the tensile strength and the compressive strength of the rock; measuring the tooth tip fillet of the cutter teeth; determining cutting angle and cutting depth related parameters; performing a test of linearly cutting rock with cutter teeth, and determining a relationship between the cross section area and the cutting depth of cut grooves; and calculating the interaction force, namely the cutting resistance, between the rock digging cutter teeth and the rock via a formula. The present invention establishes a model of the interaction force between cutter teeth and rock via the cross section area of cut grooves, the rock strength, the related cutting parameters and the like, and then estimates the cutting resistance of the cutter teeth cutting the rock. The method of the present invention is suitable for calculating the cutting resistance of weathered rock having certain strength, and has the advantages of unified dimension, comprehensive consideration of various cutting parameters and accurate results.

Description

一种挖岩刀齿与岩石之间相互作用力的计算方法A method for calculating the interaction force between rock cutting teeth and rocks 技术领域Technical Field
本发明涉及的是一种疏浚工程与岩石切削技术领域的作用力计算方法，特别是一种具有量纲统一、综合考虑了各种切削参数的挖岩刀齿与岩石之间相互作用力的计算方法。The present invention relates to a method for calculating the acting force in the field of dredging engineering and rock cutting technology, in particular to a method for calculating the interaction force between a rock cutting tooth and a rock with unified dimensions and comprehensive consideration of various cutting parameters.
背景技术Background technique
港口、航道建设疏浚过程中，往往会遇到岩石地层，为了满足通航水深及工程施工的需求，需要对水下岩石进行切削破碎，因此需要对刀齿切削岩石所受阻力进行预估计算。而目前刀齿与岩石间相互作用力的计算公式，一部分是由二维切削理论推导得来，与实际切削阻力相差较大，另一部分是根据试验数据建立的经验公式，往往只适用于特定工况，且量纲不协调。During the dredging process of port and waterway construction, rock formations are often encountered. In order to meet the requirements of navigation depth and engineering construction, it is necessary to cut and crush underwater rocks, so it is necessary to estimate the resistance of the cutter teeth to rock cutting. At present, the calculation formula of the interaction force between the cutter teeth and rocks is partly derived from the two-dimensional cutting theory, which is quite different from the actual cutting resistance, and the other part is an empirical formula established based on test data, which is often only applicable to specific working conditions and has inconsistent dimensions.
发明内容Summary of the invention
本发明针对现有技术的不足，提出一种挖岩刀齿与岩石之间相互作用力的计算方法，本发明具有量纲统一、综合考虑各种切削参数及结果较为准确的优点；采用该方法可以较为准确地预估挖岩刀齿切削风化岩时所受的阻力，对港口、航道建设疏浚过程中遇到的岩石切削破碎问题具有重要意义。In view of the shortcomings of the prior art, the present invention proposes a method for calculating the interaction force between rock cutter teeth and rocks. The present invention has the advantages of unified dimensions, comprehensive consideration of various cutting parameters and relatively accurate results. The method can more accurately estimate the resistance encountered by rock cutter teeth when cutting weathered rocks, which is of great significance to the rock cutting and crushing problems encountered during the dredging process of port and waterway construction.
本发明是通过以下技术方案来实现的：本发明提供了一种挖岩刀齿与岩石之间相互作用力的计算方法，包括以下步骤：The present invention is realized by the following technical scheme: The present invention provides a method for calculating the interaction force between rock cutting teeth and rocks, comprising the following steps:
步骤一，确定岩石类型与挖岩用刀齿；Step 1: Determine the rock type and the cutter teeth for rock excavation;
步骤二，测定岩石的抗拉、抗压强度；Step 2: Determine the tensile and compressive strength of the rock;
步骤三，测定刀齿的齿尖圆角；Step 3, measuring the tooth tip radius of the cutter teeth;
步骤四，确定切削角度、切削深度相关参数；Step 4, determine the parameters related to cutting angle and cutting depth;
步骤五，进行刀齿线性切削岩石试验，确定切削沟槽横断面积与切削深度之间的关系；Step 5, conducting a linear rock cutting test of the cutter teeth to determine the relationship between the cross-sectional area of the cutting groove and the cutting depth;
步骤六，通过以下公式计算挖岩刀齿与岩石之间的相互作用力峰值，即峰值切削 阻力：
Step 6: Calculate the peak value of the interaction force between the rock cutter teeth and the rock, i.e., the peak cutting force resistance:
式中，Fp为切削阻力，单位kN；d为切削深度，单位mm；A(d)为随切削深度d变化的切削沟槽横断面积，单位mm2；σt为岩石抗拉强度，单位MPa；σc为岩石抗压强度，单位MPa；α为切削角度，单位(°)；g(α)为切削角度对岩石强度的影响因子；r为刀齿齿尖圆角半径，单位mm；r0为r的修正量，单位mm；p为常系数。Wherein, Fp is the cutting resistance, unit is kN; d is the cutting depth, unit is mm; A(d) is the cross-sectional area of the cutting groove that changes with the cutting depth d, unit is mm2 ; σt is the tensile strength of rock, unit is MPa; σc is the compressive strength of rock, unit is MPa; α is the cutting angle, unit is (°); g(α) is the influence factor of the cutting angle on the rock strength; r is the fillet radius of the tooth tip, unit is mm; r0 is the correction amount of r, unit is mm; p is the constant coefficient.
步骤七，通过以下公式计算挖岩刀齿与岩石之间的相互作用力平均值，即均值切削阻力：
Fa＝K·Fp Step 7: Calculate the average value of the interaction force between the rock cutting teeth and the rock, i.e., the mean cutting resistance, by the following formula:
F a =K·F p
式中，Fa为平均切削阻力，单位kN；K为常系数。Where Fa is the average cutting resistance, unit is kN; K is the constant coefficient.
进一步地，在本发明中，岩石抗压强度σc为无侧限抗压强度，通过无侧限抗拉强度试验测得；岩石抗拉强度σt通过巴西劈裂试验测得。Furthermore, in the present invention, the rock compressive strength σ c is the unconfined compressive strength, which is measured by an unconfined tensile strength test; the rock tensile strength σ t is measured by a Brazilian splitting test.
更进一步地，在本发明中，g(α)为与切削角度α相关的二次函数，具体的函数关系与岩石材质及刀齿材质有关，可通过试验的结果进行拟合。Furthermore, in the present invention, g(α) is a quadratic function related to the cutting angle α, and the specific functional relationship is related to the rock material and the tooth material, and can be fitted through experimental results.
更进一步地，在本发明中，r0为r的修正量，为Fp-r关系曲线与r轴交点的绝对值，p＝0.7。Furthermore, in the present invention, r 0 is the correction amount of r, which is the absolute value of the intersection of the F p -r relationship curve and the r axis, and p=0.7.
更进一步地，在本发明中，K为常系数，根据岩石种类的不同，取值范围在1.2～1.6之间，可根据刀齿线性切削岩石试验确定。Furthermore, in the present invention, K is a constant coefficient, and its value ranges from 1.2 to 1.6 according to different rock types, and can be determined based on a test of linear rock cutting by cutter teeth.
在本发明中，切削沟槽是一个与切削深度呈二次相关的量，可通过岩石线性切削试验测量获得。使用挖岩刀齿进行岩石的线性切削试验，得到切削沟槽，在切削沟槽上取数个断面，测量切削深度与横断面的面积，获得横断面积与切削深度之间的关系A(d)。In the present invention, the cutting groove is a quantity that is quadratically related to the cutting depth and can be obtained by measuring a rock linear cutting test. A linear cutting test of rock is performed using a rock cutting cutter tooth to obtain a cutting groove, and several sections are taken from the cutting groove to measure the cutting depth and the area of the cross section to obtain a relationship A(d) between the cross section area and the cutting depth.
岩石强度测量包括无侧限抗压强度σc与抗拉强度σt两种，无侧限抗压强度可通过无侧限抗拉强度试验测得，抗拉强度可通过巴西劈裂试验测得。Rock strength measurements include unconfined compressive strength σ c and tensile strength σ t . The unconfined compressive strength can be measured by the unconfined tensile strength test, and the tensile strength can be measured by the Brazilian splitting test.
岩石强度对阻力的影响中，还需考虑切削角度α的影响，切削角度为刀齿切岩面与水平方向的夹角。切削角度的影响程度作为抗拉强度σt与无侧限抗压强度σc比值 的指数，其表达式g(α)为与切削角度α相关的二次函数，具体的函数关系与岩石材质及刀齿材质有关，可通过试验的结果进行拟合。The influence of rock strength on resistance also needs to consider the influence of cutting angle α, which is the angle between the cutter tooth cutting rock surface and the horizontal direction. The influence of cutting angle is expressed as the ratio of tensile strength σt to unconfined compressive strength σc. The index of g(α) is a quadratic function related to the cutting angle α. The specific functional relationship is related to the rock material and the tooth material, and can be fitted through the test results.
刀齿钝度是一个与刀齿齿尖圆角半径相关的量，r为刀齿尖角的圆角半径，当刀齿为锋利刀齿时，r＝0；当刀齿磨钝后，r的大小为刀齿齿间的圆角半径。r0为r的修正量，为Fp-r关系曲线与r轴交点的绝对值。p为常系数，在一般施工环境中，认为p＝0.7。The bluntness of the cutter teeth is a quantity related to the fillet radius of the cutter teeth tip. r is the fillet radius of the cutter teeth tip. When the cutter teeth are sharp, r = 0; when the cutter teeth are blunt, the size of r is the fillet radius between the cutter teeth. r 0 is the correction value of r, which is the absolute value of the intersection of the F p -r relationship curve and the r axis. p is a constant coefficient. In general construction environments, it is considered that p = 0.7.
与现有技术相比，本发明具有如下有益效果为：Compared with the prior art, the present invention has the following beneficial effects:
第一，本发明综合考虑了刀齿切削岩石时的各项参数，包括岩石自身的参数(例如：无侧限抗压强度、抗剪强度等)、刀齿的参数(例如：刀齿的钝度等)以及体现二者相互作用的参数(例如：形成的沟槽横断面积、切削角度等)。使用参数较为全面，可使得出的切削阻力更贴近实际值。First, the present invention comprehensively considers various parameters when the cutter teeth cut rocks, including the parameters of the rock itself (e.g., unconfined compressive strength, shear strength, etc.), the parameters of the cutter teeth (e.g., bluntness of the cutter teeth, etc.), and the parameters reflecting the interaction between the two (e.g., cross-sectional area of the groove formed, cutting angle, etc.). The use of more comprehensive parameters can make the output cutting resistance closer to the actual value.
第二，本发明综合考虑了三维情况下的切削破坏过程，发明中使用的抗拉强度、沟槽横断面积等均可体现切削的三维特征。Second, the present invention comprehensively considers the cutting failure process in three-dimensional conditions, and the tensile strength, groove cross-sectional area, etc. used in the present invention can reflect the three-dimensional characteristics of cutting.
第三，本发明等式左右两端量纲一致。与现有的经验公式相比，本发明中阻力预估模型的量纲为m2·Pa，与力的量纲N一致，更符合实际。Third, the dimensions of the left and right sides of the equation of the present invention are consistent. Compared with the existing empirical formula, the dimension of the resistance estimation model in the present invention is m 2 ·Pa, which is consistent with the dimension of force N and is more practical.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为本发明的流程图；Fig. 1 is a flow chart of the present invention;
图2为本发明实施例中岩石破碎过程示意图；FIG2 is a schematic diagram of a rock crushing process according to an embodiment of the present invention;
图3为本发明实施例中刀齿钝度圆角半径示意图；FIG3 is a schematic diagram of the bluntness fillet radius of a blade tooth in an embodiment of the present invention;
图4为本发明实施例中通过计算公式得到的理论值与实际试验值之间的对应关系。FIG. 4 is a diagram showing the corresponding relationship between the theoretical value obtained by the calculation formula and the actual test value in the embodiment of the present invention.
具体实施方式Detailed ways
下面结合附图对本发明的实施例作详细说明，本实施例以本发明技术方案为前提，给出了详细的实施方式和具体的操作过程，但本发明的保护范围不限于下述的实施例。The following is a detailed description of an embodiment of the present invention in conjunction with the accompanying drawings. This embodiment is based on the technical solution of the present invention and provides a detailed implementation method and a specific operation process, but the protection scope of the present invention is not limited to the following embodiment.
<实施例><Example>
本发明提供一种挖岩刀齿与岩石之间相互作用力的计算方法，具体实施流程如图1所示，包括以下步骤： The present invention provides a method for calculating the interaction force between a rock cutting tool tooth and a rock. The specific implementation process is shown in FIG1 and includes the following steps:
步骤一，确定岩石类型与挖岩用刀齿；Step 1: Determine the rock type and the cutter teeth for rock excavation;
步骤二，测定岩石的抗拉、抗压强度；Step 2: Determine the tensile and compressive strength of the rock;
步骤三，测定刀齿的齿尖圆角；Step 3, measuring the tooth tip radius of the cutter teeth;
步骤四，确定切削角度、切削深度相关参数；Step 4, determine the parameters related to cutting angle and cutting depth;
步骤五，进行刀齿线性切削岩石试验，确定切削沟槽横断面积与切削深度之间的关系；Step 5, conducting a linear rock cutting test of the cutter teeth to determine the relationship between the cross-sectional area of the cutting groove and the cutting depth;
步骤六，通过以下公式计算挖岩刀齿与岩石之间的相互作用力峰值，即峰值切削阻力：
Step 6: Calculate the peak value of the interaction force between the rock cutter teeth and the rock, i.e., the peak cutting resistance, by the following formula:
式中，Fp为切削阻力，单位kN；d为切削深度，单位mm；A(d)为随切削深度d变化的切削沟槽横断面积，单位mm2；σt为岩石抗拉强度，单位MPa；σc为岩石抗压强度，单位MPa；α为切削角度，单位(°)；g(α)为切削角度对岩石强度的影响因子；r为刀齿齿尖圆角半径，单位mm；r0为r的修正量，单位mm；p为常系数。Wherein, Fp is the cutting resistance, unit is kN; d is the cutting depth, unit is mm; A(d) is the cross-sectional area of the cutting groove that changes with the cutting depth d, unit is mm2 ; σt is the tensile strength of rock, unit is MPa; σc is the compressive strength of rock, unit is MPa; α is the cutting angle, unit is (°); g(α) is the influence factor of the cutting angle on the rock strength; r is the fillet radius of the tooth tip, unit is mm; r0 is the correction amount of r, unit is mm; p is the constant coefficient.
步骤七，通过以下公式计算挖岩刀齿与岩石之间的相互作用力平均值，即均值切削阻力：
Fa＝K·Fp Step 7: Calculate the average value of the interaction force between the rock cutting teeth and the rock, i.e., the mean cutting resistance, by the following formula:
F a =K·F p
式中，Fa为平均切削阻力，单位kN；K为常系数。Where Fa is the average cutting resistance, unit is kN; K is the constant coefficient.
具体的，在步骤一中，本实施例采用风化岩作为切削岩石试样进行试验，切削岩石试样的尺寸为100cm×45cm×10cm，切削面平整。试验中采用的刀齿为尖齿。Specifically, in step 1, this embodiment uses weathered rock as a cutting rock sample for testing, the size of the cutting rock sample is 100cm×45cm×10cm, and the cutting surface is flat. The teeth used in the test are sharp teeth.
在步骤二中，通过无侧限抗拉强度试验测得岩石抗压强度σc为16.51MPa；通过巴西劈裂试验测得岩石抗拉强度σt为1.47MPa。In step 2, the rock compressive strength σ c is measured to be 16.51 MPa through the unconfined tensile strength test; the rock tensile strength σ t is measured to be 1.47 MPa through the Brazilian splitting test.
在步骤三中，测得刀齿齿尖的宽度为20mm，齿尖基本为锋利齿尖，刀齿齿尖圆角半径r＝0，如图3所示。In step three, the width of the tooth tip of the knife tooth is measured to be 20 mm, the tooth tip is basically a sharp tooth tip, and the fillet radius of the tooth tip of the knife tooth is r=0, as shown in FIG3 .
在步骤四中，确定刀齿的切削角度为40°至60°(即刀齿前刀面与水平方向的夹角，图2中的α)，切削深度为0.5cm至3.0cm。In step 4, the cutting angle of the cutter teeth is determined to be 40° to 60° (ie, the angle between the front cutting surface of the cutter teeth and the horizontal direction, α in FIG. 2 ), and the cutting depth is determined to be 0.5 cm to 3.0 cm.
在步骤五中，在刀齿上安装测力传感器，可监测刀齿切削过程中的切削阻力。试验采用恒定切削速度0.5m/s，通过改变刀齿的切削深度0.5cm至3.0cm以及切削角 度40°至60°，监测不同工况下刀齿所受切削力随时间的变化。In step 5, a force sensor is installed on the cutter teeth to monitor the cutting resistance of the cutter teeth during cutting. The test uses a constant cutting speed of 0.5 m/s and changes the cutting depth of the cutter teeth from 0.5 cm to 3.0 cm and the cutting angle The angle is 40° to 60°, and the cutting force on the cutter teeth is monitored over time under different working conditions.
试验结束后，对沟槽横断面积进行测量，对每一条沟槽，平均取5个断面进行测量，得到其面积A与深度d之间的关系。针对本次试验采用的风化岩及刀齿，测量后得到横断面积A与深度d之间的关系为A＝d(3.75d+20)。g(α)为与切削角度α相关的二次函数，具体的函数关系与岩石材质及刀齿材质有关，可通过试验的结果进行拟合，本实验中g(α)＝0.0008α2-0.0865α+4.0556。After the test, the cross-sectional area of the groove was measured. For each groove, an average of 5 sections were taken for measurement to obtain the relationship between its area A and depth d. For the weathered rock and cutter teeth used in this test, the relationship between the cross-sectional area A and the depth d was measured as A = d (3.75d + 20). g (α) is a quadratic function related to the cutting angle α. The specific functional relationship is related to the rock material and the cutter tooth material. It can be fitted through the test results. In this experiment, g (α) = 0.0008α 2 -0.0865α + 4.0556.
在步骤六中，已知A＝d(3.75d+20)，g(α)＝0.0008α2-0.0865α+4.0556；σc＝16.51MPa，σt＝1.47MPa；r＝0，r0为Fp-r关系曲线与r轴交点的绝对值，本实施例中，r+r0＝2.5；在一般施工环境中p＝0.7，2-p＝1.3。将上述取值代入峰值切削阻力的计算公式中，得到峰值切削力Fp的表达式：

In step 6, it is known that A = d (3.75d + 20), g (α) = 0.0008α 2 -0.0865α + 4.0556; σ c = 16.51MPa, σ t = 1.47MPa; r = 0, r 0 is the absolute value of the intersection of the F p -r relationship curve and the r axis, in this embodiment, r + r 0 = 2.5; in a general construction environment, p = 0.7, 2-p = 1.3. Substituting the above values into the calculation formula of the peak cutting resistance, the expression of the peak cutting force F p is obtained:

在步骤七中，根据岩石种类的不同，常系数K的取值范围在1.2～1.6之间，可根据刀齿线性切削岩石试验确定。本实施例中，峰值切削力Fp与均值切削力Fa的比值K取1.2，均值切削力Fa的表达式为：
In step 7, the constant coefficient K ranges from 1.2 to 1.6 according to the type of rock, and can be determined according to the linear rock cutting test of the cutter teeth. In this embodiment, the ratio K of the peak cutting force Fp to the average cutting force Fa is 1.2, and the expression of the average cutting force Fa is:
将利用峰值切削力公式计算得到的模拟结果与实际实验中测力传感器得到的结果进行对比，结果如图4所示。图4中横轴代表了实验数据，纵轴代表了模拟数据，斜线为y＝x。从图4中可看出数据点大多分布在斜线附近，说明模拟结果与实验结果较为接近，证明公式对实验结果拟合较好。The simulation results calculated using the peak cutting force formula are compared with the results obtained by the force sensor in the actual experiment, and the results are shown in Figure 4. In Figure 4, the horizontal axis represents the experimental data, the vertical axis represents the simulation data, and the oblique line is y = x. It can be seen from Figure 4 that most of the data points are distributed near the oblique line, indicating that the simulation results are relatively close to the experimental results, proving that the formula fits the experimental results well.
以上对本发明的具体操作方式进行了描述。需要理解的是，本发明并不局限于上述特定操作方式，本领域技术人员可以在权利要求的范围内做出各种变形或修改，这并不影响本发明的实质内容。 The above describes the specific operation mode of the present invention. It should be understood that the present invention is not limited to the above specific operation mode, and those skilled in the art can make various modifications or variations within the scope of the claims, which does not affect the essence of the present invention.

Claims (5)

  1. 一种挖岩刀齿与岩石之间相互作用力的计算方法，其特征在于，包括以下步骤：A method for calculating the interaction force between a rock cutting tool tooth and a rock, characterized in that it comprises the following steps:
    步骤一，确定岩石类型与挖岩用刀齿；Step 1: Determine the rock type and the cutter teeth for rock excavation;
    步骤二，测定岩石的抗拉、抗压强度；Step 2: Determine the tensile and compressive strength of the rock;
    步骤三，测定刀齿的齿尖圆角；Step 3, measuring the tooth tip radius of the cutter teeth;
    步骤四，确定切削角度、切削深度相关参数；Step 4, determine the parameters related to cutting angle and cutting depth;
    步骤五，进行刀齿线性切削岩石试验，确定切削沟槽横断面积与切削深度之间的关系；Step 5, conducting a linear rock cutting test of the cutter teeth to determine the relationship between the cross-sectional area of the cutting groove and the cutting depth;
    步骤六，通过以下公式计算挖岩刀齿与岩石之间相互作用力峰值，即峰值切削阻力：
    Step 6: Calculate the peak value of the interaction force between the rock cutter teeth and the rock, i.e., the peak cutting resistance, by the following formula:
    式中，Fp为峰值切削阻力，单位kN；d为切削深度，单位mm；A(d)为随切削深度d变化的切削沟槽横断面积，单位mm2；σt为岩石抗拉强度，单位MPa；σc为岩石抗压强度，单位MPa；α为切削角度，单位(°)；g(α)为切削角度对岩石强度的影响因子；r为刀齿齿尖倒角半径，单位mm；r0为r的修正量，单位mm；p为常系数。Wherein, Fp is the peak cutting resistance, in kN; d is the cutting depth, in mm; A(d) is the cross-sectional area of the cutting groove that changes with the cutting depth d, in mm2 ; σt is the tensile strength of rock, in MPa; σc is the compressive strength of rock, in MPa; α is the cutting angle, in (°); g(α) is the influence factor of the cutting angle on the rock strength; r is the chamfer radius of the tooth tip, in mm; r0 is the correction amount of r, in mm; and p is a constant coefficient.
    步骤七，通过以下公式计算挖岩刀齿与岩石之间相互作用力平均值，即均值切削阻力：
    Fa＝Fp/K    Step 7: Calculate the average value of the interaction force between the rock cutting teeth and the rock, i.e., the mean cutting resistance, by the following formula:
    F a = F p /K
    式中，Fa为平均切削阻力，单位kN；K为常系数。Where Fa is the average cutting resistance, unit is kN; K is the constant coefficient.
  2. 根据权利要求1所述的挖岩刀齿与岩石之间相互作用力的计算方法，其特征在于，所述岩石抗压强度σc为无侧限抗压强度，通过无侧限抗拉强度试验测得；岩石抗拉强度σt通过巴西劈裂试验测得。The method for calculating the interaction force between rock cutting teeth and rocks according to claim 1 is characterized in that the rock compressive strength σ c is the unconfined compressive strength, which is measured by an unconfined tensile strength test; and the rock tensile strength σ t is measured by a Brazilian splitting test.
  3. 根据权利要求1所述的挖岩刀齿与岩石之间相互作用力的计算方法，其特征在于，所述g(α)为与切削角度α相关的二次函数，具体的函数关系与岩石材质及刀 齿材质有关，通过试验的结果进行拟合。The method for calculating the interaction force between rock cutting teeth and rocks according to claim 1 is characterized in that g(α) is a quadratic function related to the cutting angle α, and the specific functional relationship is related to the rock material and the cutter. It is related to the tooth material and is fitted based on the test results.
  4. 根据权利要求1所述的挖岩刀齿与岩石之间相互作用力的计算方法，其特征在于，所述r0为r的修正量，为Fp-r关系曲线与r轴交点的绝对值，p＝0.7。The method for calculating the interaction force between rock cutting teeth and rocks according to claim 1 is characterized in that r0 is a correction value of r, which is the absolute value of the intersection of the Fp -r relationship curve and the r axis, and p=0.7.
  5. 根据权利要求1所述的挖岩刀齿与岩石之间相互作用力的计算方法，其特征在于，所述K为常系数，根据岩石种类的不同，取值范围在1.2～1.6之间，根据刀齿线性切削岩石试验确定。 The method for calculating the interaction force between rock cutting teeth and rocks according to claim 1 is characterized in that K is a constant coefficient, and its value range is between 1.2 and 1.6 depending on the type of rock, and is determined based on a linear rock cutting test of the cutter teeth.
PCT/CN2023/131978 2022-12-15 2023-11-16 Method for calculating interaction force between rock digging cutter teeth and rock WO2024125198A1 (en)

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CN103499505A (en) * 2013-10-22 2014-01-08 上海交通大学 Cutter tooth linear rock cutting testing device
CN113255174A (en) * 2021-07-15 2021-08-13 西南石油大学 Drilling tooth mechanics calculation method considering rock dynamic strength and mixed crushing mode
CN114918483A (en) * 2022-05-26 2022-08-19 杭州电子科技大学 Broach geometric parameter optimization method based on chip form observation and evaluation
US20220374561A1 (en) * 2021-11-25 2022-11-24 Southwest Petroleum University Drill bit design method based on rock crushing principle with local variable strength
CN116244898A (en) * 2022-12-15 2023-06-09 中交疏浚技术装备国家工程研究中心有限公司 Calculation method for interaction force between rock digging cutter tooth and rock

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Publication number Priority date Publication date Assignee Title
CN103499505A (en) * 2013-10-22 2014-01-08 上海交通大学 Cutter tooth linear rock cutting testing device
CN113255174A (en) * 2021-07-15 2021-08-13 西南石油大学 Drilling tooth mechanics calculation method considering rock dynamic strength and mixed crushing mode
US20220374561A1 (en) * 2021-11-25 2022-11-24 Southwest Petroleum University Drill bit design method based on rock crushing principle with local variable strength
CN114918483A (en) * 2022-05-26 2022-08-19 杭州电子科技大学 Broach geometric parameter optimization method based on chip form observation and evaluation
CN116244898A (en) * 2022-12-15 2023-06-09 中交疏浚技术装备国家工程研究中心有限公司 Calculation method for interaction force between rock digging cutter tooth and rock

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