CN111730408B - Dry cutting enhanced heat transfer method considering chip heat exchange - Google Patents
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Abstract
The invention discloses a dry cutting reinforced heat transfer method considering chip heat exchange, which comprises the following steps: constructing a cutting heat strengthening transfer regulation objective function for dry cutting processing; establishing constraint conditions of cutting heat strengthening transfer regulation objective functions corresponding to target workpieces meeting the requirements of lowest cost of single process and matching with the technical performance of a machine tool, the heat-resisting temperature of a cutter and the machining quality of parts; determining the value range of each decision variable corresponding to the target workpiece based on the cutting heat strengthening transfer regulation target function constraint condition corresponding to the target workpiece; and optimizing the cutting heat strengthening transfer regulation and control objective function by using an intelligent optimization algorithm in the value range of each decision variable to determine the optimal value of each decision variable of the target workpiece. The invention provides a novel cutting heat dissipation regulation and control method in dry cutting machining, which realizes the enhanced transmission of cutting heat by improving the heat exchange capability of cutting chips, is beneficial to reducing the negative influence of cutting heat and further improves the machining precision.
Description
Technical Field
The invention belongs to the field of machining, and particularly relates to a heat transfer enhancing method for dry cutting machining considering chip heat exchange.
Background
The dry cutting machining can realize the manufacturing of mechanical parts without using cutting fluid, has the outstanding advantages of low workshop environmental pollution, small occupational health hazard of workers and the like, and is an important development direction for green transformation and upgrading of the machining industry. Unlike conventional wet cutting processes, dry cutting processes face severe thermal environmental challenges, particularly the heat of cutting. On one hand, the dry cutting adopts higher cutting speed, so that cutting heat is generated in a large amount in a short time; on the other hand, since the cutting fluid is not used, the ability of the cutting heat to be diffused to the outside of the cutting region is limited, and the heat that has not been transferred can flow into the machine tool, the workpiece, and the like. Under the action of the two aspects, the problems of thermal deformation error, cutter thermal-induced abrasion and the like are easy to generate, and the workpiece precision is influenced.
In order to reduce the series negative effects of cutting heat, the dry cutting production mostly adopts machine tool thermal symmetric structure design, a compressed air auxiliary heat dissipation method, a thermal error compensation technology and the like. The thermal symmetrical structure design of the machine tool adopts methods such as a symmetrical layout structure, a heat insulation protective cover, circulating oil cooling and the like to ensure uniform temperature rise and thermal balance of the machine tool; the compressed air auxiliary heat dissipation is to convey compressed air to a cutting area through a nozzle by utilizing a compressed air supply system consisting of an air compressor, a filter, a cold dryer and the like so as to achieve the aim of heat convection between the compressed air and a cutter, a workpiece and the like; and the thermal error compensation is realized by constructing a machine tool thermal error model and a compensation method. However, the thermal symmetry structure design of the machine tool and the temperature control effect of the compressed air-assisted heat dissipation are influenced by the experience level of workers, the thermal error compensation is more focused on the passive compensation afterwards, and the efficient regulation and control of the heat flow rule and the influence thereof are difficult to be fully performed.
In fact, most metal cutting processes (e.g., turning, milling, rolling, etc.) rely primarily on chips to carry the heat of cutting away from the cutting zone, particularly for dry cutting processes (e.g., chips in dry hobbing can carry over eighty percent of the heat of cutting away). It can be seen that the chip is used as the main heat transfer medium of the cutting heat, and the heat exchange quantity (the quantity of the chip transporting the cutting heat) directly affects the quantity of the cutting heat flowing into the rest heat transfer media such as machine tools, workpieces, cutters and the like. In view of the above, by constructing a cutting heat transfer and dispersion regulation and control method with enhanced chip heat exchange capability for green dry cutting processing technology, scientific control of cutting heat transfer behavior can be realized, and improvement of workpiece processing precision is facilitated.
Disclosure of Invention
Aiming at the defects of the prior art, the problems to be solved by the invention are as follows: the method is characterized in that a novel cutting heat dissipation regulation and control method in dry cutting machining is provided, scientific control on cutting heat transfer behavior is achieved by means of strengthening chip heat exchange capacity, optimal machining parameters of a target workpiece are further determined, strengthening transfer of cutting heat is promoted, and machining precision is improved.
The invention adopts the following technical scheme:
a method for enhancing heat transfer of dry cutting machining considering chip heat exchange comprises the following steps:
s1, constructing a cutting heat strengthening transfer control objective function for dry cutting processing, wherein the cutting heat strengthening transfer control objective function takes the chip heat exchange quantity maximization as a control objective and takes the cutting speed, the feeding quantity and the cutting depth as decision variables;
s2, establishing constraint conditions of cutting heat strengthening transfer regulation objective functions corresponding to target workpieces which meet the requirements of lowest cost of single process and match with the technical performance of a machine tool, the heat-resisting temperature of a cutter and the processing quality of parts;
s3, determining the value range of each decision variable corresponding to the target workpiece based on the constraint condition of the cutting heat strengthening transfer control target function corresponding to the target workpiece;
and S4, optimizing the cutting heat strengthening transfer control objective function by using an intelligent optimization algorithm in the value range of each decision variable, and determining the optimal value of each decision variable of the target workpiece.
Preferably, the cutting heat strengthening transfer regulation objective function Optize F (upsilon)c,f,ap) The following formula:
Optimize F(υc,f,ap)=max Qchip
in the formula, QchipIndicates the heat exchange amount of cuttings, vcRepresenting cutting speed, f representing feed, apIndicating the depth of cut;
Qchip=RchipQcut
in the formula, RchipDenotes the heat distribution ratio of chips, QcutIndicating the amount of cutting heat generated;
in the formula, ecseDenotes specific energy of cut, h, of the metal materialchipDenotes a dimensionless constant having a value equal to the thickness of the undeformed chip, mu denotes the coefficient of deviation correction of specific energy of cutting of the metal material, VchipRepresents the volume of the chip;
Vchip=1000υcfap。
preferably, the target workpiece one-piece process cost CcosThe following formula:
in the formula, tmIndicating working procedure cutting man-hour, CmRepresents the cost allocated per unit time of the process, TlifeIndicates the tool life, tctIndicating the time of tool change, CtoRepresents the cost of the tool, totIndicating an assistance time other than tool change;
single-piece process cost minimum constraint:
in the formula (I), the compound is shown in the specification,represents an extremely low value of the cost of a single process;
the cutting heat strengthening transfer regulation and control objective function constraint condition further comprises the following steps:
machine tool technical performance constraints:
in the formula, DwDenotes the diameter of the workpiece, nminAnd nmaxRespectively representing the minimum and maximum speed allowed by the technical parameters of the machine tool, fminAnd fmaxRespectively representing the minimum and maximum feed, k, permitted by the technical parameters of the machine toolcMeans unit cutting force, ηcIndicating the machine tool transmission efficiency, PceRepresenting the main motor power of the machine tool;
restraining the heat-resistant temperature of the cutter:
in the formula, KtemDenotes the cutting temperature coefficient, Xtem、YtemAnd ZtemRespectively, the cutting velocities upsiloncFeed f and depth of cut apCoefficient of dependence on cutting temperature, [ Ttem]Represents the heat-resisting temperature of the cutter;
and (3) restricting the machining quality of parts:
in the formula, RaDenotes the surface roughness, rεIndicates the radius of the arc of the cutting edge, [ R ]a]Indicating the required surface roughness of the part.
Preferably, step S3 includes:
s301, determining the initial value range of each decision variable corresponding to a target workpiece based on machine tool technical performance constraint, cutter heat-resistant temperature constraint and part processing quality constraint;
s302, solving a single-piece process cost extremely low value of the target workpiece for multiple times by using an intelligent optimization algorithm;
s303, determining a value range [ C ] of a single process cost extremely low value of the target workpiececos,1,Ccos,n],Ccos,1A lowest value C of the single-piece process cost extremely low values of the target workpiece obtained in the process of multiple solvingcos,nRepresenting the highest value of the single-piece process cost extremely low values of the target workpiece obtained in the multiple solving processes, wherein n represents the solving times;
s304 is based on [ Ccos,1,Ccos,n]And determining the final value range of each decision variable according to the technical performance of the machine tool, the heat-resistant temperature of the cutter and the processing quality constraint of the part.
Compared with the prior art, the invention has the following beneficial effects:
(1) the heat sources of the three cutting deformation zones are systematically and comprehensively quantified by using a cutting specific energy correction method, and the method is different from a cutting heat traditional analysis method for neglecting the action of the heat source of the third deformation zone, and is more in line with the actual situation of cutting machining.
(2) The cost of a single procedure is taken into the constraint condition of the cutting heat strengthening transfer regulation and control objective function to be considered, the heat exchange capability of the cutting chips can be improved under the condition of meeting the constraint of the processing cost, and the scientific regulation and control of the cutting heat strengthening transfer is facilitated.
(3) The chip heat exchange quantity is taken as an important target for regulation and control of the cutting heat flow rule, the chip capacity of transferring cutting heat outwards is enhanced, and the thermally induced deformation error is reduced from the source, so that the processing precision is improved.
Drawings
For purposes of promoting a better understanding of the objects, aspects and advantages of the invention, reference will now be made in detail to the present invention as illustrated in the accompanying drawings, in which:
FIG. 1 is a flow chart of an embodiment of a method for enhancing heat transfer in dry cutting machining with consideration of heat exchange of chips;
FIG. 2 is a graph comparing workpiece temperatures in an example of the invention.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
As shown in FIG. 1, the invention discloses a method for enhancing heat transfer in dry cutting machining considering chip heat exchange, which comprises the following steps:
s1, constructing a cutting heat strengthening transfer control objective function for dry cutting processing, wherein the cutting heat strengthening transfer control objective function takes the chip heat exchange quantity maximization as a control objective and takes the cutting speed, the feeding quantity and the cutting depth as decision variables;
s2, establishing constraint conditions of cutting heat strengthening transfer regulation objective functions corresponding to target workpieces which meet the requirements of lowest cost of single process and match with the technical performance of a machine tool, the heat-resisting temperature of a cutter and the processing quality of parts;
s3, determining the value range of each decision variable corresponding to the target workpiece based on the constraint condition of the cutting heat strengthening transfer control target function corresponding to the target workpiece;
and S4, optimizing the cutting heat strengthening transfer control objective function by using an intelligent optimization algorithm in the value range of each decision variable, and determining the optimal value of each decision variable of the target workpiece.
Compared with the prior art, the invention enhances the heat dissipation effect of the chips in the dry cutting process by setting the proper cutting speed, feeding amount and cutting depth for different workpieces. Compared with the prior art, the worker only needs to process according to the obtained cutting speed, the obtained feed amount and the obtained cutting depth, the temperature control effect is not influenced by the experience level of the worker, the processing difficulty is reduced, the active compensation in advance is achieved, and the heat flow rule and the influence effect of the heat flow rule can be fully and efficiently regulated. In addition, on the basis of enhancing the chip heat exchange to realize temperature control, the invention also considers the cost constraint of a single process of a target workpiece, firstly determines the value range of the decision variable by taking the lowest cost of the single process as one of the constraints, and then determines the optimal value of the final decision variable by taking the chip heat exchange quantity maximization as the target in the determined value range, thereby enhancing the heat dissipation effect on the premise of ensuring the processing cost.
In specific implementation, the cutting heat-strengthening transfer regulation objective function Optize F (upsilon)c,f,ap) The following formula:
Optimize F(υc,f,ap)=max Qchip
in the formula, QchipIndicates the heat exchange amount of cuttings, vcRepresenting cutting speed, f representing feed, apIndicating the depth of cut;
Qchip=RchipQcut
in the formula, RchipDenotes the heat distribution ratio of chips, QcutIndicating the amount of cutting heat generated;
in the formula, ecseDenotes specific energy of cut, h, of the metal materialchipDenotes a dimensionless constant having a value equal to the thickness of the undeformed chip, mu denotes the coefficient of deviation correction of specific energy of cutting of the metal material, VchipRepresents the volume of the chip;
Vchip=1000υcfap。
in order to increase the quantity of cutting heat transferred outwards by chips, thereby reducing the flow of the cutting heat to a workpiece and the like and reducing the thermal deformation error, in the invention, a cutting heat strengthening transfer regulation and control objective function oriented to dry cutting processing is constructed by taking the chip heat exchange quantity as a control target and taking the process parameters such as cutting speed, feeding quantity, cutting depth and the like as decision variables.
In practice, the cost of the target workpiece one-piece process CcosThe following formula:
in the formula, tmIndicating working procedure cutting man-hour, CmRepresents the cost allocated per unit time of the process, TlifeIndicates the tool life, tctIndicating the time of tool change, CtoRepresents the cost of the tool, totIndicating an assistance time other than tool change;
single-piece process cost minimum constraint:
in the formula (I), the compound is shown in the specification,represents an extremely low value of the cost of a single process;
in the invention, considering that the cost of a single-piece process is closely related to the cutting efficiency and the production benefit, the cost is taken as a type of constraint condition to meet the requirements of efficiency and benefit cost of workshop production.
The cutting heat strengthening transfer regulation and control objective function constraint condition further comprises the following steps:
machine tool technical performance constraints:
in the formula, DwDenotes the diameter of the workpiece, nminAnd nmaxRespectively representing the minimum and maximum speed allowed by the technical parameters of the machine tool, fminAnd fmaxRespectively representing the minimum and maximum feed, k, permitted by the technical parameters of the machine toolcMeans unit cutting force, ηcIndicating the machine tool transmission efficiency, PceRepresenting the main motor power of the machine tool;
restraining the heat-resistant temperature of the cutter:
in the formula, KtemDenotes the cutting temperature coefficient, Xtem、YtemAnd ZtemRespectively, the cutting velocities upsiloncFeed f and depth of cut apCoefficient of dependence on cutting temperature, [ Ttem]Represents the heat-resisting temperature of the cutter;
and (3) restricting the machining quality of parts:
in the formula, RaDenotes the surface roughness, rεIndicates the radius of the arc of the cutting edge, [ R ]a]Indicating the required surface roughness of the part.
In specific implementation, step S3 includes:
s301, determining the initial value range of each decision variable corresponding to a target workpiece based on machine tool technical performance constraint, cutter heat-resistant temperature constraint and part processing quality constraint;
s302, solving a single-piece process cost extremely low value of the target workpiece for multiple times by using an intelligent optimization algorithm;
s303, determining a value range [ C ] of a single process cost extremely low value of the target workpiececos,1,Ccos,n],Ccos,1A lowest value C of the single-piece process cost extremely low values of the target workpiece obtained in the process of multiple solvingcos,nRepresenting the highest value of the single-piece process cost extremely low values of the target workpiece obtained in the multiple solving processes, wherein n represents the solving times;
the problem of solving the extreme value for many times by using an intelligent optimization algorithm is the prior art. In the existing solving process, for example, a simulated annealing algorithm is adopted in MATLAB to solve, and the results of each solving are not completely the same due to objective reasons in technical aspects, but all belong to acceptable optimal solutions. Therefore, in the invention, after obtaining the result through multiple solving, the minimum values of the cost of the single working procedure can be sequentially arranged as C in ascending ordercos,1、Ccos,2、Ccos,3、......、Ccos,nThen determining the value range [ C ] of the single process cost extremely low value of the target workpiececos,1,Ccos,n]。
S304 is based on [ Ccos,1,Ccos,n]And determining the final value range of each decision variable according to the technical performance of the machine tool, the heat-resistant temperature of the cutter and the processing quality constraint of the part.
In order to verify the implementation feasibility of the method, the method disclosed by the invention is used for the cutting heat strengthening transfer regulation and control of the 45 steel longitudinally turned on the excircle of a certain hard alloy turning tool, and a dry turning processing technology is adopted. Wherein the diameter of the workpiece is 120mm, the length of the cutting part is 160mm, and the single-side machining allowance is 1.5 mm. The main deflection angle of the cutter is 45 degrees, the circular arc radius of the cutter point is 0.4mm, and the service life of the cutter is 60 min. The surface roughness of the part was 6.3 um. The rotating speed range of the main shaft of the machine tool is 30-3000 m/min, the feeding amount is 0.05-2.5 mm/r, the transmission efficiency of the machine tool is 0.85, and the rated power of a main motor is 5.5 kw. The apportionment cost of the procedure in unit time is 2 yuan/min, the tool changing time is 0.3min, the tool cost is 90 yuan, and the auxiliary time except tool changing is 0.85 min.
According to the dry turning machining principle and the known parameters, the expression of the objective function in the regulation model is as follows:
max Qchip=max(2614Rchipυcf0.7ap)。
for dry turning, the expression for the cost of a single piece of the process is as follows:
wherein L iswRepresents the length of the cutting part of the workpiece, and deltaa represents the unilateral machining allowance.
According to the technical performance parameters of the machine tool, a metal material manual, the heat-resistant temperature of a cutter, the processing quality requirements and the like, after the value range of each decision variable is preliminarily determined, the value range of each decision variable is further determined by combining the cost constraint of a single process, namely the value range of each decision variable is not less than 20 upsilonc≤800,0.05≤f≤0.28,0.5≤ap≤1.5。
On the basis, the objective function and the constraint condition of the regulation and control model are written into an optimization calculation program based on a simulated annealing algorithm. When the simulated annealing algorithm is initialized, the initial temperature is 2000, the termination temperature is 10-20, the iteration times are 200, and the cooling rate is 0.9. By running an optimization calculation program in MATLAB for optimization, the obtained optimal parameters are combined as follows: the cutting speed is 727m/min, the feed quantity is 0.25mm/r, and the cutting depth is 1.3mm, at the moment, the heat exchange quantity of chips can reach 800KJ, and the cost of a single process is as low as 3.01 yuan.
Further, a DEFORM-3D is used for carrying out a dry turning process simulation experiment, and temperature change curves of the workpiece and the like can be obtained through geometric modeling, grid division, process parameter setting and result post-processing of the turning tool and the workpiece. By comparing the cutting zone temperature variation trend under the optimized parameters (the optimal process parameter combination calculated according to the invention) and the workshop production experience parameters (the cutting speed is 600m/min, the feeding amount is 0.2mm/r, and the cutting depth is 1.5mm), the maximum temperature and the average temperature of the optimized workpiece are reduced, as shown in fig. 2. Therefore, under the constraint of meeting the cost requirement and the like, the heat exchange quantity of the cutting chips can be improved to a certain degree, and the heat flow of the cutting chips to the workpiece and the like can be reduced, so that the thermal deformation error of the workpiece is reduced, and the machining precision of the workpiece is finally improved.
Finally, it is noted that the above-mentioned embodiments illustrate rather than limit the invention, and that, while the invention has been described with reference to preferred embodiments thereof, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (3)
1. A method for strengthening heat transfer in dry cutting machining considering chip heat exchange is characterized by comprising the following steps:
s1, constructing a cutting heat strengthening transfer control objective function for dry cutting processing, wherein the cutting heat strengthening transfer control objective function takes the chip heat exchange quantity maximization as a control objective and takes the cutting speed, the feeding quantity and the cutting depth as decision variables;
s2, establishing constraint conditions of cutting heat strengthening transfer regulation objective functions corresponding to target workpieces which meet the requirements of lowest cost of single process and match with the technical performance of a machine tool, the heat-resisting temperature of a cutter and the processing quality of parts;
s3, determining the value range of each decision variable corresponding to the target workpiece based on the constraint condition of the cutting heat strengthening transfer control target function corresponding to the target workpiece;
s4, optimizing a cutting heat strengthening transfer regulation and control objective function by using an intelligent optimization algorithm in the value range of each decision variable, and determining the optimal value of each decision variable of a target workpiece;
the cutting heat strengthening transfer regulation objective function Optize F (upsilon)c,f,ap) The following formula:
Optimize F(υc,f,ap)=maxQchip
in the formula, QchipIndicates the heat exchange amount of cuttings, vcRepresenting cutting speed, f representing feed, apIndicating the depth of cut;
Qchip=RchipQcut
in the formula, RchipDenotes the heat distribution ratio of chips, QcutIndicating the amount of cutting heat generated;
in the formula, ecseDenotes specific energy of cut, h, of the metal materialchipDenotes a dimensionless constant having a value equal to the thickness of the undeformed chip, mu denotes the coefficient of deviation correction of specific energy of cutting of the metal material, VchipRepresents the volume of the chip;
Vchip=1000υcfap。
2. the method for enhancing heat transfer in dry cutting machining considering chip heat exchange according to claim 1, wherein the target workpiece one-piece process cost CcosThe following formula:
in the formula, tmIndicating working procedure cutting man-hour, CmRepresents the cost allocated per unit time of the process, TlifeIndicates the tool life, tctIndicating the time of tool change, CtoRepresents the cost of the tool, totIndicating an assistance time other than tool change;
single-piece process cost minimum constraint:
in the formula (I), the compound is shown in the specification,represents an extremely low value of the cost of a single process;
the cutting heat strengthening transfer regulation and control objective function constraint condition further comprises the following steps:
machine tool technical performance constraints:
in the formula, DwDenotes the diameter of the workpiece, nminAnd nmaxRespectively representing the minimum and maximum speed allowed by the technical parameters of the machine tool, fminAnd fmaxRespectively representing the minimum and maximum feed, k, permitted by the technical parameters of the machine toolcMeans unit cutting force, ηcIndicating the machine tool transmission efficiency, PceRepresenting the main motor power of the machine tool;
restraining the heat-resistant temperature of the cutter:
in the formula, KtemDenotes the cutting temperature coefficient, Xtem、YtemAnd ZtemRespectively, the cutting velocities upsiloncFeed f and depth of cut apCoefficient of dependence on cutting temperature, [ Ttem]Represents the heat-resisting temperature of the cutter;
and (3) restricting the machining quality of parts:
in the formula, RaDenotes the surface roughness, rεIndicates the radius of the arc of the cutting edge, [ R ]a]Indicating the required surface roughness of the part.
3. The method for enhancing heat transfer in dry cutting machining considering chip heat exchange according to claim 2, wherein the step S3 includes:
s301, determining the initial value range of each decision variable corresponding to a target workpiece based on machine tool technical performance constraint, cutter heat-resistant temperature constraint and part processing quality constraint;
s302, solving a single-piece process cost extremely low value of the target workpiece for multiple times by using an intelligent optimization algorithm;
s303, determining a value range [ C ] of a single process cost extremely low value of the target workpiececos,1,Ccos,n],Ccos,1A lowest value C of the single-piece process cost extremely low values of the target workpiece obtained in the process of multiple solvingcos,nRepresenting the highest value of the single-piece process cost extremely low values of the target workpiece obtained in the multiple solving processes, wherein n represents the solving times;
s304 is based on [ Ccos,1,Ccos,n]And determining the final value range of each decision variable according to the technical performance of the machine tool, the heat-resistant temperature of the cutter and the processing quality constraint of the part.
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