Modeling method of V-shaped drill bit drilling mechanical model considering uniform distribution of lunar soil muck

Abstract

The invention discloses a V-shaped drill bit drilling mechanical model modeling method considering lunar soil muck uniform distribution, and belongs to the technical field of lunar surface drilling and lunar soil mechanical analysis. In order to solve the problem of cutting force and power consumption calculation errors caused by neglecting of dynamic pressure of excavated muck on a cutting area in a traditional drilling model, a lunar soil cutting mechanical model considering uniformly distributed pressure is established, and a calculation formula of cutting resistance of a central failure area and a lateral failure area is deduced; a relation model between the horizontal component, the vertical component, the total cutting force, the torque, the power consumption and the efficiency of the cutting force and drill bit structure parameters is constructed. According to the method, the dynamic uniform pressure effect of excavated muck on a cutting area is quantified, the limitation of a traditional lunar soil drilling model in cutting force and power consumption prediction is improved, a theoretical basis is provided for structure optimization, energy consumption control and reliability improvement of lunar drilling equipment, and the method has high engineering application value.

Description

Technical Field

[0001] The present invention relates to the technical field of lunar surface drilling and lunar soil mechanics analysis, and more specifically, to a method for modeling the drilling mechanics model of a V-bit considering the uniform distribution of lunar soil and muck. Background Art

[0002] During the process of lunar surface drilling, accurately simulating the mechanical behavior of a V-bit cutting lunar soil is of crucial significance for optimizing the structure of drilling equipment, reducing energy consumption, and improving drilling reliability. When traditional drilling models analyze the cutting of lunar soil by a V-bit, they often ignore the uniform pressure exerted by the excavated muck on the lunar soil being cut. This factor leads to errors in the calculation of cutting resistance torque, cutting power consumption, and cutting efficiency, and further affects the accuracy of optimizing the structural dimension parameters of the bit.

[0003] With the continuous deepening of lunar exploration missions, the research on the mechanical properties of lunar soil has become more refined, and the limitations of traditional models have become more prominent. In actual drilling operations, the uniform pressure of the excavated muck on the lunar surface will significantly affect the mechanical environment in the cutting area, and thus change the cutting resistance and energy consumption of the bit. If this factor cannot be accurately considered, it will be difficult to achieve precise design and efficient control of lunar drilling equipment, and unable to meet the growing demand for lunar resource exploration. Therefore, a high-precision model based on dynamic mechanics correction is needed to adapt to the characteristics of lunar soil and improve drilling efficiency and reliability. Summary of the Invention

[0004] To solve the above problems, the purpose of the present invention is to provide a method for modeling the drilling mechanics model of a V-bit considering the uniform distribution of lunar soil and muck.

[0005] In order to overcome the deficiencies of the prior art, the present invention adopts the following technical solutions:

[0006] A method for modeling the drilling mechanics model of a V-bit considering the uniform distribution of lunar soil and muck, characterized by including the following steps:

[0007] A. Establish a mechanical model of a V-bit cutting lunar soil considering the uniform pressure of muck. Based on the analysis of the lunar soil drilling conditions, this model obtains the mechanical properties of the central failure zone and the lateral failure zone of the cutting edge of the V-bit during the cutting process, and establishes a lunar soil cutting mechanical model considering the uniform pressure q of the drilled muck on the lunar surface, where the uniform pressure q is the pressure exerted by the excavated lunar soil on the lunar soil being cut;

[0008] B. Calculate the cutting resistances of the central failure zone and the lateral failure zones, including the calculation formulas for the main cutting edge cutting resistance P1, P1, the secondary cutting edge cutting resistance P2, P2, and the cutting resistances P3, P4 of the lateral failure zones I and II, etc. Then, obtain the expressions for the horizontal component H, the vertical cutting force V, and the total cutting force F of the cutting force during the process of the drill bit cutting lunar soil, as well as the calculation formulas for the torque M, the power consumption P, and the efficiency η, and obtain the power consumption P and the efficiency η of the drill bit during the lunar soil drilling process through theoretical calculation;

[0009] C. Construct a relationship model between the horizontal component H, the vertical component V, the total cutting force F, the torque M, the cutting power consumption P, and the cutting efficiency η of the cutting force and the structural parameters of the drill bit;

[0010] The calculation formula for the cutting power consumption P is as follows:

[0011]

[0012] In the formula, n z is the rotational speed of the cutting edge, r / min; n 切削刃个数 is the number of cutting edges of the drill bit; d 取芯 is the inner diameter of the drill bit, mm; V 钻进 is the linear feed speed of the drill bit, mm / s; δ is the friction angle between the cutting edge and the lunar soil, °; the torque N·m; H is the horizontal cutting force during the cutting process of the drill bit, N; V is the vertical cutting force during the cutting process of the drill bit, N;

[0013] The calculation formula for the cutting efficiency is as follows:

[0014]

[0015] In the formula, P is the power consumption when the drill bit cuts lunar soil, W; P 总 is the total input power provided by the motor to the drill bit, W;

[0016] The calculation formula for the horizontal cutting force H during the cutting process of the drill bit is as follows:

[0017] 1) When the drill bit is performing lunar soil drilling operations and the structural parameters of the cutting edge meet the condition b1tanθ1 ≥ b2tanθ2, the horizontal component of the cutting force exerted by the cutting edge on the lunar soil can be expressed as:

[0018] 2) When b1tanθ1 < b2tanθ2, the horizontal component of the cutting force exerted by the cutting edge on the lunar soil can be expressed as:

[0019] The calculation formula for the vertical cutting force V is: V = Htan(α + δ), N;

[0020] The calculation formula for the cutting resultant force F is as follows: N;

[0021] D. Calculate through MATLAB software, and substitute the drill bit data to obtain the power consumption P and mechanical efficiency η during the drilling of the drill bit.

[0022] The structural parameters of the drill bit include the widths b1, b2 of the main and secondary cutting edges, the rake angles θ1, θ2 of the main and secondary cutting edges, the cutting angle α of the cutting edge, the rake angle φ of the cutting edge, and the cutting depth h0.

[0023] The calculation formulas for the cutting resistances P1, P1 of the main cutting edge in the central failure zone, the cutting resistances P2, P2 of the secondary cutting edge, and the cutting resistances P3, P4 in the lateral failure zones I and II, etc., all need to consider the uniform pressure q of the excavated soil on the lunar surface;

[0024] The calculation formulas for the cutting resistances P1, P1 of the main cutting edge in the central failure zone are divided into

[0025] 1) When the cutting depth h0 satisfies h0 ≤ b1tanθ1,

[0026]

[0027] 2) When the cutting depth h0 satisfies h0 > b1tanθ1,

[0028]

[0029] In the formula, M = cotα + cotβ; γ is the bulk density of lunar soil, kg / mm 3 ; c is the cohesion of lunar soil, kpa; q is the uniform pressure of the excavated soil on the lunar surface, N; β is the failure angle, °; is the internal friction angle of lunar soil, °;

[0030] The calculation formulas for the cutting resistances P2, P2 of the secondary cutting edge in the central failure zone are divided into

[0031] 1) When the cutting depth h0 satisfies h0 ≤ b2tanθ2,

[0032]

[0033] 2) When the cutting depth h0 satisfies h0 > b2tanθ2,

[0034]

[0035] The calculation formula for the cutting resistance P3 in the lateral failure zone I is:

[0036]

[0037] In the formula, d3 is the failure zone length corresponding to the lateral failure zone I, in mm; h3 is the cutting depth of the lateral failure zone I, h3 = h0 - b2tanθ2, in mm; ρ1 is the spreading angle of the lateral failure zone I, in °;

[0038] The calculation formula for the cutting resistance P4 of the lateral failure zone II is:

[0039]

[0040] In the formula, d4 is the failure zone length corresponding to the lateral failure zone II, in mm; h4 is the cutting depth of the lateral failure zone II, h4 = h0 - b1tanθ1, in mm; ρ2 is the spreading angle of the lateral failure zone II, in °.

[0041] The beneficial effects of the present invention are as follows: By establishing a mechanical model of V-shaped edge drilling of lunar soil considering the uniform pressure of drilled soil on the lunar surface, the simulation accuracy of the lunar soil drilling process is improved. Compared with the traditional model, the present invention improves the limitations of the traditional lunar soil drilling model in predicting cutting force and power consumption, provides a theoretical basis for the structural optimization, energy consumption control and reliability improvement of lunar drilling equipment, and has high engineering application value and broad application prospects. Brief Description of the Drawings

[0042] Figure 1 is the failure model of V-shaped edge bit rotating to cut lunar soil;

[0043] Figure 2 is the force model of the central failure zone of lunar soil;

[0044] Figure 3 is the force model of the lateral failure zone I;

[0045] Figure 4 is the force model of the lateral failure zone II. Detailed Embodiments

[0046] The technical solution of the present invention will be further described below in conjunction with the drawings and through specific embodiments.

[0047] A method for modeling the mechanical model of V-shaped bit drilling considering the uniform distribution of lunar soil includes the following steps:

[0048] A. Establish a mechanical model of V-shaped edge drilling of lunar soil considering the uniform pressure of soil, which obtains the mechanical properties of the central failure zone and the lateral failure zone of the cutting edge of the V-shaped edge bit during the cutting process on the basis of analyzing the lunar soil drilling conditions, and establishes a lunar soil cutting mechanical model considering the uniform pressure q of the drilled soil on the lunar surface, where the uniform pressure q is the pressure exerted by the excavated lunar soil on the lunar soil being cut;

[0049] The lunar regolith failure model of the B-type blade bit has two different lateral failure zones, and under certain conditions, there may even be only one lateral failure zone. As shown in Figure 1 , it is necessary to analyze and calculate according to the specific structure. Figure 2 shows the stress state of the micro-elements in the central failure zone. Figure 3 shows the stress state of the micro-elements in the lateral failure zone Ⅰ. Figure 4 shows the stress state of the micro-elements in the lateral failure zone Ⅱ. Calculate the cutting resistance of the central failure zone and the lateral failure zones, including the cutting resistance P1, P1` of the main cutting edge in the central failure zone, the cutting resistance P2, P2` of the secondary cutting edge, and the cutting resistance P3, P4 in the lateral failure zones Ⅰ and Ⅱ. Then, obtain the expressions of the horizontal component H, the vertical cutting force V, and the total cutting force F of the cutting force during the process of the bit cutting lunar regolith, as well as the calculation formulas of the torque M, the power consumption P, and the efficiency η. And through theoretical calculation, obtain the power consumption P and the efficiency η of the bit during the lunar regolith drilling process.

[0050] C. Construct a relationship model between the horizontal component H, the vertical component V, the total cutting force F, the torque M, the cutting power consumption P, and the cutting efficiency η of the cutting force and the structural parameters of the bit.

[0051] The calculation formula for the cutting power consumption P is:

[0052]

[0053] In the formula, n z is the rotational speed of the cutting edge, r / min; n 切削刃个数 is the number of cutting edges of the bit; d 取芯 is the inner diameter of the bit, mm; V 钻进 is the linear feed speed of the bit, mm / s; δ is the friction angle between the cutting edge and the lunar regolith, °; the torque N·m; H is the horizontal cutting force during the cutting process of the bit, N; V is the vertical cutting force during the cutting process of the bit, N.

[0054] The calculation formula for the cutting efficiency is:

[0055]

[0056] In the formula, P is the power consumption when the bit cuts lunar regolith, W; P 总 is the total input power provided by the motor to the bit, W.

[0057] The calculation formula for the horizontal cutting force H during the cutting process of the bit is:

[0058] 1) When the bit is performing lunar regolith drilling operations and the structural parameters of the cutting edge meet the condition b1tanθ1≥b2tanθ2, the horizontal component of the cutting force exerted by the cutting edge on the lunar regolith can be expressed as:

[0059] 2) When b1tanθ1 < b2tanθ2, the horizontal component of the cutting force exerted by the cutting edge on the lunar soil can be expressed as:

[0060] The calculation formula for the vertical cutting force V is: V = Htan(α + δ), N;

[0061] The calculation formula for the resultant cutting force F is:

[0062] D. Calculate through MATLAB software, substitute the drill bit data to obtain the power consumption P and mechanical efficiency η during the drilling of the drill bit.

[0063] The structural parameters of the drill bit include the widths b1, b2 of the main and secondary cutting edges, the edge inclination angles θ1, θ2 of the main and secondary cutting edges, the cutting angle α of the cutting edge, the rake angle φ of the cutting edge, and the cutting depth h0.

[0064] The calculation formulas for the cutting resistances P1, P1 of the main cutting edge in the central failure zone, P2, P2 of the secondary cutting edge, and P3, P4 of the cutting resistances in the lateral failure zones I and II, etc. all need to consider the uniform pressure q of the excavated soil on the lunar surface;

[0065] The calculation formulas for the cutting resistances P1, P1 of the main cutting edge in the central failure zone are divided into

[0066] 1) When the cutting depth h0 satisfies h0 ≤ b1tanθ1,

[0067]

[0068] 2) When the cutting depth h0 satisfies h0 > b1tanθ1,

[0069]

[0070] In the formula, M = cotα + cotβ; γ is the bulk density of the lunar soil, kg / mm 3 ; c is the cohesion of the lunar soil, kpa; q is the uniform pressure of the excavated soil on the lunar surface, N; β is the failure angle, °; is the internal friction angle of the lunar soil, °;

[0071] The calculation formulas for the cutting resistances P2, P2 of the secondary cutting edge in the central failure zone are divided into

[0072] 1) When the cutting depth h0 satisfies h0 ≤ b2tanθ2,

[0073]

[0074] 2) When the cutting depth h0 satisfies h0 > b2tanθ2,

[0075]

[0076] The calculation formula for the cutting resistance P3 in the lateral failure zone I is:

[0077]

[0078] In the formula, d3 is the length of the failure zone corresponding to the lateral failure zone I, in mm; h3 is the cutting depth in the lateral failure zone I, h3 = h0 - b2tanθ2, in mm; ρ1 is the spread angle in the lateral failure zone I, in °.

[0079] The calculation formula for the cutting resistance P4 in the lateral failure zone II is:

[0080]

[0081] In the formula, d4 is the length of the failure zone corresponding to the lateral failure zone II, in mm; h4 is the cutting depth in the lateral failure zone II, h4 = h0 - b1tanθ1, in mm; ρ2 is the spread angle in the lateral failure zone II, in °.

Claims

1. A method for establishing a drilling mechanical model of a V-bit considering the uniform distribution of lunar soil and slag, characterized in that It includes the following steps: A. Establish a mechanical model of V-bit drilling lunar soil considering the uniform pressure of muck. Based on the analysis of the lunar soil drilling conditions, this model obtains the mechanical characteristics of the center failure zone and the lateral failure zone of the cutting edge of the V-bit during the cutting process, and establishes a lunar soil cutting mechanical model considering the uniform pressure q of the mucked soil on the lunar surface. Here, the uniform pressure q is the pressure exerted by the excavated lunar soil on the lunar soil being cut; B. Calculate the cutting resistances of the center failure zone and the lateral failure zone, including the calculation formulas for the main cutting edge cutting resistances P1, P1, of the center failure zone, the secondary cutting edge cutting resistances P2, P2, and the cutting resistances P3, P4, etc. in the lateral failure zones I and II. Furthermore, obtain the expressions for the horizontal cutting force H, the vertical cutting force V, and the total cutting force F during the process of the bit cutting lunar soil, as well as the calculation formulas for the torque M, the power consumption P, and the efficiency η. And obtain the power consumption P and the efficiency η of the bit during the lunar soil drilling process through theoretical calculation; C. Construct a relationship model between the horizontal cutting force H, the vertical component V, the total cutting force F, the torque M, the cutting power consumption P, and the cutting efficiency η and the bit structure parameters; The calculation formula for the cutting power consumption P is: where n z is the rotational speed of the cutting edge, r / min; n 切削刃个数 is the number of cutting edges of the drill bit; d 取芯 is the inner diameter of the drill bit, mm; V 钻进 is the linear feed speed of the drill bit, mm / s; δ is the friction angle between the cutting edge and the lunar soil, °; torque N·m; H is the horizontal cutting force during the cutting process of the drill bit, N; V is the vertical cutting force during the cutting process of the drill bit, N; The calculation formula for the cutting efficiency is: Where P is the power consumption of the drill bit when cutting lunar soil, in W; P 总 is the total input power provided by the motor to the drill bit, in W; The calculation formula for the horizontal cutting force H during the bit cutting process is: 1) When the drill bit is performing lunar soil drilling operations and the structural parameters of the cutting edge meet the condition b1tanθ1≥b2tanθ2, the horizontal component of the cutting force exerted by the cutting edge on the lunar soil can be expressed as: 2) When b1tanθ1 < b2tanθ2, the horizontal component of the cutting force exerted by the cutting edge on the lunar soil can be expressed as: The calculation formula for the vertical cutting force V is: V = Htan(α + δ), N; The calculation formula for the cutting resultant force F is as follows: N; D. Perform calculations through MATLAB software, and substitute the bit data to obtain the power consumption P and the mechanical efficiency η when the bit drills; 2. A modeling method for the drilling mechanical model of a V-bit considering the uniform distribution of lunar soil and muck, characterized in that, The bit structure parameters include the widths b1, b2 of the main and secondary cutting edges, the rake angles θ1, θ2 of the main and secondary cutting edges, the cutting angle α of the cutting edge, the rake angle φ of the cutting edge, and the cutting depth h0; 3. The modeling method of the drilling mechanical model of the V-bit considering the uniform distribution of lunar soil and muck, characterized in that, The calculation formulas for the main cutting edge cutting resistances P1, P1, of the center failure zone, the secondary cutting edge cutting resistances P2, P2, and the cutting resistances P3, P4, etc. in the lateral failure zones I and II all need to consider the uniform pressure q of the mucked soil on the lunar surface; The calculation formulas for the main cutting edge cutting resistances P1, P1, of the center failure zone are divided into 1) When the cutting depth h0 satisfies h0 ≤ b1tanθ1, 2) When the cutting depth h0 satisfies h0 > b1tanθ1, Wherein, M = cotα + cotβ; γ is the bulk density of lunar soil, kg / mm 3 ; c is the cohesion of lunar soil, kPa; q is the uniform pressure of the drilled soil on the lunar surface, N; β is the failure angle, °; is the internal friction angle of lunar soil, °; The calculation formulas for the secondary cutting edge cutting resistances P2, P2, of the center failure zone are divided into 1) When the cutting depth h0 satisfies h0 ≤ b2tanθ2, 2) When the cutting depth h0 satisfies h0 > b2tanθ2, The calculation formula for the cutting resistance P3 in the lateral failure zone I is: In the formula, d3 is the length of the failure zone corresponding to the lateral failure zone I, mm; h3 is the cutting depth of the lateral failure zone I, h3 = h0 - b2tanθ2, mm; ρ1 is the spread angle of the lateral failure zone I, °; The calculation formula for the cutting resistance P4 in the lateral failure zone II is: In the formula, d4 is the length of the failure zone corresponding to the lateral failure zone II, mm; h4 is the cutting depth of the lateral failure zone II, h4 = h0 - b1tanθ1, mm; ρ2 is the spread angle of the lateral failure zone II, °.

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