CN109781289A - It corrects thermocouple measurements and obtains the method and apparatus that practical drill point bores bone temperature - Google Patents

It corrects thermocouple measurements and obtains the method and apparatus that practical drill point bores bone temperature Download PDF

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CN109781289A
CN109781289A CN201910196215.8A CN201910196215A CN109781289A CN 109781289 A CN109781289 A CN 109781289A CN 201910196215 A CN201910196215 A CN 201910196215A CN 109781289 A CN109781289 A CN 109781289A
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CN109781289B (en
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尤芳怡
崔虎子
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Huaqiao University
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Abstract

The present invention provides a kind of method that amendment thermocouple measurements obtain practical drill point brill bone temperature, comprising: 1, establish three kinds of finite element analysis models;2, it carries out entity and bores the experiment of bone thermometric, extract the highest measurement temperature value of model two and model three;Model two and model three are optimized, optimum results are applied to model one;3, model one, model two and the model three after optimization are emulated, extracts highest analog temperature value;4, it calculates under different brill bone parameter combinations, relative error of the highest analog temperature of model two and model three relative to model one, and relative error formula is fitted, the practical drill point maximum temperature value of model one is calculated according to the highest measurement temperature value of relative error formula, model two and model three;5, the brill bone parameter and control range of bone surgery are selected according to practical drill point maximum temperature value.The present invention also provides a kind of computer equipments, improve the accuracy that practical drill point bores bone maximum temperature value.

Description

It corrects thermocouple measurements and obtains the method and apparatus that practical drill point bores bone temperature
Technical field
Practical drill point, which is obtained, the present invention relates to a kind of borehole temperature more particularly to a kind of amendment thermocouple measurements bores bone The method and apparatus of temperature.
Background technique
The bone component part important as life entity, while having and supporting body, protection internal organs, manufacture blood thin Born of the same parents, mineral storage safeguard pH value in blood, complete the critical functions such as movement.In real life, excessive movement, high-altitude pendant Fall, object is hit etc. can all make bone by the effect of temporary impact load, and then cause bone injury and fracture.It fractures serious The normal life of people is influenced whether, if sequelae can be left by dealing with improperly.Therefore carrying out effective treatment to fracture seems It is particularly important.In surgical operation, is drilled around the bone that fractures frequently with drill bit with fixed or installation medical apparatus, maintain bone knot The stability of structure.During the drilling of bone, drill bit can produce the rubbing action of the shear action of bone and drill bit and sclerotin Raw a large amount of heat, due to the closure of drilling environment, heat diffusion to drill bit, bone is considered to be worth doing and cortex bone, wherein most heat into Enter cortex bone.During boring bone temperature and being bone drill-a significant consideration, excessively high drilling temperature can seriously damage bone Performance.The research of Hayes etc. thinks that cutting temperature will affect the vital activity of bone, if temperature is maintained at 20-43 DEG C In the case of will not damage the activity of bone;For the activity for guaranteeing bone, bone temperature is bored no more than 50 DEG C.Have scholar to rabbit bone into Row experimental study show that continuing 30s under conditions of 55 DEG C can make osteocyte generate irreversible death.Some scholars equally with Rabbit bone is test material, by proposing that continuing l/min under conditions of 47 DEG C is that cortex bone generates thermal necrosis after experimental study Threshold condition.It can be seen that temperature excessively high in operation can damage bone tissue, the normal rehabilitation of bone tissue is influenced.Sternly Lattice to bore bone temperature control it is extremely important.
Different drilling conditions will cause certain influence to drilling temperature, some scholars have studied main shaft in bone surgery The parameters such as revolving speed, the amount of feeding cut the function and effect of middle temperature to bone drill, and have carried out experimental verification, the results showed that low-speed range When interior bone drilling, the speed of mainshaft is maximum to the function and effect of temperature, and temperature is increased with the increase of the speed of mainshaft, with The increase of the amount of feeding and reduce.In recent years, being constantly progressive with finite element technique, use of the finite element technique in drilling field Range is more and more wider.K.Alam, Mitrofanov and Siberschmidt to the mechanical characteristic of cortex bone and material property into Row experiment measurement, measures and calculates property parameters of a part of cortex bone needed for finite element emulation software.Xiashuang Li bores bone finite element model using ANSYS three-dimensional, has probed into influence of the different factors to brill bone temperature, and be fitted empirical equation For predicting and optimizing reasonable brill bone parameter.
Thermometry mainly has thermocouple method and infrared thermometry method in cutting process at present.Due to drilling process Closure, infrared ray can not be irradiated to inside workpiece, therefore be not suitable for the measurement of drilling temperature.Thermocouple method can be by thermocouple In silk embedment workpiece, the temperature change of inside bone in drilling process can be measured.Traditional thermocouple measurement uses substantially buries Enter method, as shown in Figure 1, a drilling 3 is drilled in cortex bone 2 by drill bit 1, in the position of the hole wall certain distance of distance drilling 3 The blind hole 4 for opening a certain depth, thermocouple 5 is placed in blind hole 4, for measuring the temperature of 4 bottom bone of blind hole, thermoelectricity Even 5 temperature measured are transferred to signal processing circuit 6 and are handled.The maximum temperature that measurement is obtained is as bone in drilling process The maximum temperature that head rises, since measurement point is not that (maximum temperature generated when boring bone appears in hole for maximum temperature distributed areas The lowermost end of inner wall), but near maximum temperature distributed areas, while in order to which thermometric is buried thermocouple, it is beaten on bone Hole destroys the original integrality of bone, is also impossible to be carried out boring bone thermometric with thermocouple method in actual operation;Meanwhile thermoelectricity Even method also has a certain impact to the heat transfer during boring bone, the highest temperature for causing experiment to measure under many factors joint effect Angle value (temperature of aperture bottom when aperture pre-buried thermocouple) and the maximum temperature value of practical drill point (are not bored when pre-buried thermocouple The temperature of hole inner wall bottom) there is a certain error, and temperature measurement error can cause adverse effect to the determination for boring osseous surgery parameter.For This error is corrected, the present invention provides a kind of brill bone temperature for correcting thermocouple measurement, and obtain practical highest and bore bone temperature The method of degree.
Summary of the invention
One of the technical problem to be solved in the present invention is to provide a kind of amendment thermocouple measurements acquisition practical drill point The method for boring bone temperature, amendment thermocouple is in the maximum temperature data for boring temperature value and practical drill point that bony process test temperature obtains Between existing error, for improving the accuracy of maximum temperature measurement result.
One of the technical problem to be solved in the present invention is achieved in that
A method of amendment thermocouple measurements obtain practical drill point and bore bone temperature, comprising:
Step 1 establishes three kinds of finite element analysis models, is respectively: model one: considering the cylindrical type shin of bone cavity liquid flowing Ideal model, the model two of bone: the experiment scene of dress thermocouple is buried in aperture on the cylindrical type shin bone for considering the flowing of bone cavity liquid Model, model three: the experiment scene model of dress thermocouple is buried in aperture on the cylindrical type shin bone for not considering the flowing of bone cavity liquid;
Step 2, carried out respectively according to the structure of model two and model three entity bore bone thermometric experiment obtain experimental result, from Maximum temperature is extracted under three structure of highest measurement temperature value and model extracted in experimental result under two structure of model in region Highest measurement temperature value;Model two and model three are optimized respectively by the experimental result, and will optimization obtain it is excellent Change result and is applied to model one;
Step 3 carries out model one, model two and the model three after optimization according to experimental result to bore bone thermometric analogue simulation It obtains simulation result, extracts the drill point analog temperature value of model one in simulation result, burying for model two fills at thermocouple The analog temperature value of analog temperature value and model three buried at dress thermocouple;
Step 4, according to simulation result calculate under different brill bone parameter combinations, the highest analog temperature value of model two and Between the highest analog temperature value of model one and the highest analog temperature value of the highest analog temperature value of model three and model one Between relative error, fit the different relative error formula bored under bone parameter, and calculate the practical drill point of model one The prediction equation of maximum temperature, according under the relative error formula, prediction equation, two structure of model highest measurement temperature value with Highest measurement temperature value under three structure of model calculates the practical drill point maximum temperature value under one structure of model;
Step 5, the brill bone parameter that bone surgery is selected according to the practical drill point maximum temperature value, and by one knot of model Practical drill point maximum temperature value control under structure is within the temperature range of boring osseous surgery needs.
Further, the step 4 specifically:
The highest analog temperature value that model one, model two and model three measure is denoted as T respectively1、T2And T3, different It bores under bone parameter combination, the highest analog temperature value that model two measures is denoted as relative to the relative error of model one: δ21=(T2- T1)/T1, the highest analog temperature value that model three measures is denoted as relative to the relative error of model one: δ31=(T3-T1)/T1, root According to the calculation formula δ of relative error21=(T2-T1)/T1And δ31=(T3-T1)/T1It releases: T1=T2/(δ21+ 1) and T1=T3/ (δ31+ 1), and then the practical drill point maximum temperature of model one: T is obtained1 practical drill point=T2 experiments/(δ21+ 1), T1 practical drill point=T3 experiments/ (δ31+1);
The highest analog temperature value measured using Responds Surface Methodology to different brill bone parameter drags two is relative to mould The relative error of type one is analyzed, and different brill bone parameters includes bit diameter, the speed of mainshaft and feed speed, and is fitted Model two is relative to the function formula between the relative error and brill bone parameter of model one: δ21=A21+B21*d+C21*v+D21*f+ E21*d*v+F21*d*f+G21*v*f+H21*d^2+I21*v^2+J21* f^2, wherein A, B, C, D, E, F, G, H, I and J represent coefficient, D represents bit diameter, and v represents the speed of mainshaft, and f represents feed speed;
Similarly, model three is fitted relative to the relative error of model one and bores the function formula between bone parameter: δ31= A31+B31*d+C31*v+D31*f+E31*d*v+F31*d*f+G31*v*f+H31*d^2+I31*v^2+J31* f^2, wherein A, B, C, D, E, F, G, H, I and J represent coefficient, and d represents bit diameter, and v represents the speed of mainshaft, and f represents feed speed;
Bone highest is bored when using the brill bone temperature measurement method of model two or model three during the experiment and obtaining experiment When temperature, using the relative error being obtained ahead of time and the function formula between bone parameter, the highest measurement under two structure of model are bored Temperature value T2 experiments, highest measurement temperature value T under three structure of model3 experimentsAnd the practical drill point maximum temperature T of model one1 practical drill point Prediction equation the practical drill point maximum temperature value T under revised one structure of model is calculated1 practical drill point
Further, model two and model three are optimized respectively by the experimental result in the step 2, is optimized Method has: refining the grid of finite element analysis model, the physical function parameter for the bone that measurement and configuration experiment are selected makes model two It matches with the simulation result of model three with experimental result.
Further, the maximum temperature extraction region of the model one is located at drill hole inner wall bottom zone, the model two The bottom zone that region is located at aperture is extracted with the maximum temperature of model three.
Further, the selection mode of the finite element analysis model is: bone model is set as cylinder type bone model, Take the segment of 20~50 degree of sizes at drill bit as finite element analysis model in cylinder type bone model.
The second technical problem to be solved by the present invention is to provide a kind of computer equipment, corrects thermocouple and boring bony process Existing error between the maximum temperature data of temperature value and practical drill point that test temperature obtains is surveyed for improving maximum temperature Measure the accuracy of result.
The second technical problem to be solved by the present invention is achieved in that
A kind of computer equipment can be run on a memory and on a processor including memory, processor and storage Computer program, the processor perform the steps of when executing described program
Step 1 establishes three kinds of finite element analysis models, is respectively: model one: considering the cylindrical type shin of bone cavity liquid flowing Ideal model, the model two of bone: the experiment scene of dress thermocouple is buried in aperture on the cylindrical type shin bone for considering the flowing of bone cavity liquid Model, model three: the experiment scene model of dress thermocouple is buried in aperture on the cylindrical type shin bone for not considering the flowing of bone cavity liquid;
Step 2, carried out respectively according to the structure of model two and model three entity bore bone thermometric experiment obtain experimental result, from Maximum temperature is extracted under three structure of highest measurement temperature value and model extracted in experimental result under two structure of model in region Highest measurement temperature value;Model two and model three are optimized respectively by the experimental result, and will optimization obtain it is excellent Change result and is applied to model one;
Step 3 carries out model one, model two and the model three after optimization according to experimental result to bore bone thermometric analogue simulation It obtains simulation result, extracts the drill point analog temperature value of model one in simulation result, burying for model two fills at thermocouple The analog temperature value of analog temperature value and model three buried at dress thermocouple;
Step 4, according to simulation result calculate under different brill bone parameter combinations, the highest analog temperature value of model two and Between the highest analog temperature value of model one and the highest analog temperature value of the highest analog temperature value of model three and model one Between relative error, fit the different relative error formula bored under bone parameter, and calculate the practical drill point of model one The prediction equation of maximum temperature, according under the relative error formula, prediction equation, two structure of model highest measurement temperature value with Highest measurement temperature value under three structure of model calculates the practical drill point maximum temperature value under one structure of model;
Step 5, the brill bone parameter that bone surgery is selected according to the practical drill point maximum temperature value, and by one knot of model Practical drill point maximum temperature value control under structure is within the temperature range of boring osseous surgery needs.
Further, the step 4 specifically:
The highest analog temperature value that model one, model two and model three measure is denoted as T respectively1、T2And T3, different It bores under bone parameter combination, the highest analog temperature value that model two measures is denoted as relative to the relative error of model one: δ21=(T2- T1)/T1, the highest analog temperature value that model three measures is denoted as relative to the relative error of model one: δ31=(T3-T1)/T1, root According to the calculation formula δ of relative error21=(T2-T1)/T1And δ31=(T3-T1)/T1It releases: T1=T2/(δ21+ 1) and T1=T3/ (δ31+ 1), and then the practical drill point maximum temperature of model one: T is obtained1 practical drill point=T2 experiments/(δ21+ 1), T1 practical drill point=T3 experiments/ (δ31+1);
The highest analog temperature value measured using Responds Surface Methodology to different brill bone parameter drags two is relative to mould The relative error of type one is analyzed, and different brill bone parameters includes bit diameter, the speed of mainshaft and feed speed, and is fitted Model two is relative to the function formula between the relative error and brill bone parameter of model one: δ21=A21+B21*d+C21*v+D21*f+ E21*d*v+F21*d*f+G21*v*f+H21*d^2+I21*v^2+J21* f^2, wherein A, B, C, D, E, F, G, H, I and J represent coefficient, D represents bit diameter, and v represents the speed of mainshaft, and f represents feed speed;
Similarly, model three is fitted relative to the relative error of model one and bores the function formula between bone parameter: δ31= A31+B31*d+C31*v+D31*f+E31*d*v+F31*d*f+G31*v*f+H31*d^2+I31*v^2+J31* f^2, wherein A, B, C, D, E, F, G, H, I and J represent coefficient, and d represents bit diameter, and v represents the speed of mainshaft, and f represents feed speed;
Bone highest is bored when using the brill bone temperature measurement method of model two or model three during the experiment and obtaining experiment When temperature, using the relative error being obtained ahead of time and the function formula between bone parameter, the highest measurement under two structure of model are bored Temperature value T2 experiments, highest measurement temperature value T under three structure of model3 experimentsAnd the practical drill point maximum temperature T of model one1 practical drill point Prediction equation the practical drill point maximum temperature value T under revised one structure of model is calculated1 practical drill point
Further, model two and model three are optimized respectively by the experimental result in the step 2, is optimized Method has: refining the grid of finite element analysis model, the physical function parameter for the bone that measurement and configuration experiment are selected makes model two It matches with the simulation result of model three with experimental result.
Further, the maximum temperature extraction region of the model one is located at drill hole inner wall bottom zone, the model two The bottom zone that region is located at aperture is extracted with the maximum temperature of model three.
Further, the selection mode of the finite element analysis model is: bone model is set as cylinder type bone model, Take the segment of 20~50 degree of sizes at drill bit as finite element analysis model in cylinder type bone model.
The present invention has the advantage that
1, by the way that thermocouple measurements are modified or obtained with the practical drill point that can not be obtained in drilling processing most High borehole temperature, accurate maximum temperature value are quite important for the selection for instructing bone surgery to bore bone parameter;
2, the finite element analysis model for boring bone emulation to simulation optimizes, and the annulus of 20~50 indexing sizes is taken to carry out net Lattice divide and emulation, greatly reduce simulation calculation amount, simplify simulation process, improve simulation calculation speed;
3, the error equation established can correct the error amount of the brill bone parameter combination in selected parameter area, have certain Versatility.
Detailed description of the invention
The present invention is further illustrated in conjunction with the embodiments with reference to the accompanying drawings.
Fig. 1 is traditional structural schematic diagram for burying a thermocouple measurement and boring bone temperature.
Fig. 2 (a) is the structural schematic diagram of the model one in finite element analysis model of the invention.
Fig. 2 (b) is the structural schematic diagram of the model two in finite element analysis model of the invention.
Fig. 2 (c) is the structural schematic diagram of the model three in finite element analysis model of the invention.
Fig. 3 (a) is the structural schematic diagram of bone model of the invention.
Fig. 3 (b) is the simplified bone model schematic of the present invention.
Fig. 4 is that the present invention bores bone temperature error amendment flow chart.
Fig. 5 is the error distribution of the one highest analog temperature value of highest analog temperature value relative model of model two of the present invention Figure.
Figure label explanation:
1- drill bit, 2- cortex bone, 3- drilling, 4- blind hole, 5- thermocouple, 6- signal processing circuit, 7- bone cavity liquid film, 8- Maximum temperature extracts region, 2 '-bone models.
Specific embodiment
To be clearer and more comprehensible the present invention, now with a preferred embodiment, and attached drawing is cooperated to be described in detail below.
As shown in Fig. 2 (a) to Fig. 5, a kind of amendment thermocouple measurements of the invention obtain practical drill point and bore bone temperature Method, comprising:
Step 1, for the borehole temperature of being measured bone size, shape, material, based on finite element simulation it is soft Part establishes three kinds of finite element analysis models (boring bone model) for boring bone thermometric analogue simulation, respectively such as Fig. 2 (a) to Fig. 2 (c) It is shown: model one: to consider that the ideal model of the cylindrical type shin bone of bone cavity liquid flowing (is simulated true surgical condition, is not used for It is buried the aperture of temperature thermocouple, there is the body fluid of flowing in living body bone cavity, part can be taken away and bore the heat generated during bone, The structure of model one is the cortex bone 2 with a part, and the bottom of cortex bone 2 has a bone cavity liquid film 7, by boring in cortex bone 2 First 1 is drilled with a drilling 3, drill 3 bottom as maximum temperature extract region 8), model two: consider bone cavity liquid flowing The experiment scene model that dress thermocouple is buried in aperture on cylindrical type shin bone (when some scholars carry out boring the experiment of bone thermometric, is on the one hand examined Aperture is considered and has placed thermocouple, on the one hand remained the liquid in bone cavity, the structure of model two is the cortex bone with a part 2, the bottom of cortex bone 2 has a bone cavity liquid film 7, is drilled with a drilling 3 by drill bit 1 in cortex bone 2, is provided with one near drilling 3 Region 8 is extracted as maximum temperature in blind hole 4, the bottom of blind hole 4), model three: in the cylindrical type shin for not considering the flowing of bone cavity liquid On bone aperture bury dress thermocouple experiment scene model (some scholars carry out bore bone thermometric experiment when, for the ease of experiment, examine Aperture is considered and has placed thermocouple, but eliminated the liquid in bone cavity, the structure of model three is the cortex bone 2 with a part, skin A drilling 3 is drilled with by drill bit 1 on matter bone 2, a blind hole 4 is provided near drilling 3, the bottom of blind hole 4 is extracted as maximum temperature Region 8);
The selection mode of three kinds of finite element analysis models is: the foundation for finite element analysis model has to allow Bone model 2 ' is designed to cylinder type closer to practical bone shaped, most of finite element analysis models by finite element analysis model, Bone model 2 ' is set as cylinder type bone model, as shown in Fig. 3 (a), the volume of cylinder type bone model 2 ' is larger, into When row grid dividing, the grid cell of substantial amounts is produced, calculating cycle is very long, by analysis, the heat affected area at drilling Domain is smaller, accounts for about 30 degree or so around drilling of fan-shaped region, therefore simplifies to finite element analysis model, in cylinder type Take the segment of α: 20~50 degree of sizes at drill bit as finite element analysis model, i.e. model one, model two in bone model 2 ' With 2 part of cortex bone in model three, as shown in Fig. 3 (b);
The maximum temperature that the maximum temperature extraction region of three kinds of finite element analysis models is respectively as follows: the model one mentions Region is taken to be located at drill hole inner wall bottom zone, the model two is located at the bottom end of aperture with the maximum temperature extraction region of model three Region;
Step 2, carried out respectively according to the structure of model two and model three entity bore bone thermometric experiment obtain experimental result, bore Bone temp measuring method tests the influence for considering three kinds of factors, is the speed of mainshaft, feed speed and bit diameter, every kind of factor respectively Three parameters are set, and the selection of parameter will be with reference to the parameter that brill bone uses in practical bone surgery.According to Responds Surface Methodology Contrived experiment, table 1 are experimental design.Model one, model two, model three are all carried out according to the parameter combination of experimental design Finite element bores bone emulation, extracts the maximum temperature of three kinds of model results respectively, and one maximum temperature of model extracts point in bottom On drill hole inner wall, the position that model two, model three extract is the bottom for burying the aperture of dress thermocouple.
Table 1: experimental design
The highest measurement extracted respectively in experimental result under two structure of model in region is extracted from different maximum temperatures Highest measurement temperature value under three structure of temperature value and model;By the parameter combination of table 1, three kinds of models, 17 groups of experiment conditions are extracted Under maximum temperature.Model two and model three are optimized respectively by the experimental result, i.e., by being tested, utilize reality Test modified result finite element analysis model, it is ensured that the accuracy of experiment scene model;Its optimization method has: refinement finite element analysis The physical function parameter for the bone that the grid of model, measurement and configuration experiment are selected, make the simulation result of model two and model three with Experimental result matches, and then the optimum results for improving the accuracy of simulation result, and optimization being obtained are applied to model one (i.e. The physical function parameter of the sizing grid and bone that guarantee the refinement of model one is consistent with model two and model three, it is ensured that three kinds have The reliability of finite element analysis model);
Step 3 carries out model one, model two and the model three after optimization according to experimental result to bore bone thermometric analogue simulation It obtains simulation result, for the reliability of finite element analysis model, needs to correct finite element analysis model with experimental result, with true Protect the real reliability of finite element analysis model;Extract analog temperature value, the model of the drill point of model one in simulation result The two analog temperature value buried at dress thermocouple and the analog temperature value of model three buried at dress thermocouple;
Step 4 calculates the highest of model two under different brill bone parameter combinations according to simulation result (result of extraction) Between analog temperature value and the highest analog temperature value of model one and the highest analog temperature value and model one of model three most Relative error between high analog temperature value, fitting the different relative error formula bored under bone parameter, (this relative error is public Formula is the maximum temperature value measured for correcting experiment), and the prediction equation of the practical drill point maximum temperature of model one is calculated, According to the highest measurement temperature value under the relative error formula, prediction equation, two structure of model and the highest under three structure of model Measurement temperature value calculates the practical drill point maximum temperature value under one structure of model, the practical drill point highest temperature obtained at this time Angle value is more accurate;Specifically:
According to extraction as a result, calculate separately identical experiment parameter combination drag two and three maximum temperature of model relative to The highest analog temperature value that model one, model two and model three measure is denoted as by the error between one maximum temperature of model respectively T1、T2And T3, under different brill bone parameter combinations, the highest analog temperature value that model two measures is relative to the opposite of model one Error is denoted as: δ21=(T2-T1)/T1, different parameters combination under error be denoted as: δ21-1、δ21-2、…δ21-17;Similarly, model three The highest analog temperature value measured is denoted as relative to the relative error of model one: δ31=(T3-T1)/T1, model three is relative to model One error is denoted as: δ31-1、δ31-2、…δ31-17, Fig. 5 be two maximum temperature of model that is calculated according to the method described above relative to The error map of one maximum temperature of model.
Responds Surface Methodology obtains certain data using reasonable test design method and by experiment, using polynary secondary Regression equation carrys out the functional relation between data fitting and response, seeks optimum process ginseng by the analysis to regression equation Number, solves a kind of statistical method of Multivariable.Different brill bone parameter drags two is measured using Responds Surface Methodology Highest analog temperature value analyzed relative to the relative error of model one, different brill bone parameters includes bit diameter, master Axis revolving speed and feed speed, and fit model two relative to the relative error of model one and bore the function public affairs between bone parameter Formula:
δ21=A21+B21*d+C21*v+D21*f+E21*d*v+F21*d*f+G21*v*f+H21*d^2+I21*v^2+J21* f^2, (1)
Wherein A, B, C, D, E, F, G, H, I and J represent coefficient, and d represents bit diameter, and v represents the speed of mainshaft, f represent into To speed;
After the data analytical calculation of emulation experiment measurement, two maximum temperature of model being fitted is relative to model one Function formula between the error and brill bone parameter of maximum temperature are as follows: e=0.30786-0.24800 × d-2.44193E-004 × v-6.27982E-003×f-1.93111E-005×d×v+1.10599E-003×d×f+1.02041E-006×v×f+ 0.041989×d^2+1.71257E-007×v^2+3.99520E-005×f^2。
Similarly, the highest analog temperature value measured using Responds Surface Methodology to different brill bone parameter drags three is opposite It is analyzed in the relative error of model one, different brill bone parameters includes bit diameter, the speed of mainshaft and feed speed, and is intended Model three-phase is closed out for the relative error of model one and bores the function formula between bone parameter:
δ31=A31+B31*d+C31*v+D31*f+E31*d*v+F31*d*f+G31*v*f+H31*d^2+I31*v^2+J31* f^2, (2)
Wherein A, B, C, D, E, F, G, H, I and J represent coefficient, and d represents bit diameter, and v represents the speed of mainshaft, f represent into To speed;
According to the calculation formula δ of relative error21=(T2-T1)/T1And δ31=(T3-T1)/T1It releases: T1=T2/(δ21+1) And T1=T3/(δ31+ 1), and then the practical drill point maximum temperature of model one is obtained:
T1 practical drill point=T2 experiments/(δ21+1)
T1 practical drill point=T3 experiments/(δ31+1) (3);
Bone highest is bored when using the brill bone temperature measurement method of model two or model three during the experiment and obtaining experiment When temperature, using the relative error being obtained ahead of time and the function formula (1) and formula (2), two structure of model between bone parameter are bored Under highest measurement temperature value T2 experiments, highest measurement temperature value T under three structure of model3 experimentsAnd the practical drill point of model one is most High-temperature T1 practical drill pointPrediction equation (3) the practical drill point maximum temperature value under revised one structure of model is calculated T1 practical drill point
Step 5, the brill bone parameter that bone surgery is selected according to the practical drill point maximum temperature value, and by one knot of model Practical drill point maximum temperature value control under structure obtains more within the temperature range of boring osseous surgery needs by error correction Safe guidance can be carried out to osseous surgery is bored by boring bone temperature data for accurate highest, can be to avoid because of unreasonable brill bone Operation risk caused by parameter combination.
As shown in Fig. 2 (a) to Fig. 5, a kind of computer equipment of the invention, including memory, processor and being stored in are deposited On reservoir and the computer program that can run on a processor, the processor perform the steps of when executing described program
Step 1, for the borehole temperature of being measured bone size, shape, material, based on finite element simulation it is soft Part establishes three kinds of finite element analysis models (boring bone model) for boring bone thermometric analogue simulation, respectively such as Fig. 2 (a) to Fig. 2 (c) It is shown: model one: to consider that the ideal model of the cylindrical type shin bone of bone cavity liquid flowing (is simulated true surgical condition, is not used for It is buried the aperture of temperature thermocouple, there is the body fluid of flowing in living body bone cavity, part can be taken away and bore the heat generated during bone, The structure of model one is the cortex bone 2 with a part, and the bottom of cortex bone 2 has a bone cavity liquid film 7, by boring in cortex bone 2 First 1 is drilled with a drilling 3, drill 3 bottom as maximum temperature extract region 8), model two: consider bone cavity liquid flowing The experiment scene model that dress thermocouple is buried in aperture on cylindrical type shin bone (when some scholars carry out boring the experiment of bone thermometric, is on the one hand examined Aperture is considered and has placed thermocouple, on the one hand remained the liquid in bone cavity, the structure of model two is the cortex bone with a part 2, the bottom of cortex bone 2 has a bone cavity liquid film 7, is drilled with a drilling 3 by drill bit 1 in cortex bone 2, is provided with one near drilling 3 Region 8 is extracted as maximum temperature in blind hole 4, the bottom of blind hole 4), model three: in the cylindrical type shin for not considering the flowing of bone cavity liquid On bone aperture bury dress thermocouple experiment scene model (some scholars carry out bore bone thermometric experiment when, for the ease of experiment, examine Aperture is considered and has placed thermocouple, but eliminated the liquid in bone cavity, the structure of model three is the cortex bone 2 with a part, skin A drilling 3 is drilled with by drill bit 1 on matter bone 2, a blind hole 4 is provided near drilling 3, the bottom of blind hole 4 is extracted as maximum temperature Region 8);
The selection mode of three kinds of finite element analysis models is: the foundation for finite element analysis model has to allow Bone model 2 ' is designed to cylinder type closer to practical bone shaped, most of finite element analysis models by finite element analysis model, Bone model 2 ' is set as cylinder type bone model, as shown in Fig. 3 (a), the volume of cylinder type bone model 2 ' is larger, into When row grid dividing, the grid cell of substantial amounts is produced, calculating cycle is very long, by analysis, the heat affected area at drilling Domain is smaller, accounts for about 30 degree or so around drilling of fan-shaped region, therefore simplifies to finite element analysis model, in cylinder type Take the segment of α: 20~50 degree of sizes at drill bit as finite element analysis model, i.e. model one, model two in bone model 2 ' With 2 part of cortex bone in model three, as shown in Fig. 3 (b);
The maximum temperature that the maximum temperature extraction region of three kinds of finite element analysis models is respectively as follows: the model one mentions Region is taken to be located at drill hole inner wall bottom zone, the model two is located at the bottom end of aperture with the maximum temperature extraction region of model three Region;
Step 2, carried out respectively according to the structure of model two and model three entity bore bone thermometric experiment obtain experimental result, bore Bone temp measuring method tests the influence for considering three kinds of factors, is the speed of mainshaft, feed speed and bit diameter, every kind of factor respectively Three parameters are set, and the selection of parameter will be with reference to the parameter that brill bone uses in practical bone surgery.According to Responds Surface Methodology Contrived experiment, table 1 are experimental design.Model one, model two, model three are all carried out according to the parameter combination of experimental design Finite element bores bone emulation, extracts the maximum temperature of three kinds of model results respectively, and one maximum temperature of model extracts point in bottom On drill hole inner wall, the position that model two, model three extract is the bottom for burying the aperture of dress thermocouple.
Table 1: experimental design
The highest measurement extracted respectively in experimental result under two structure of model in region is extracted from different maximum temperatures Highest measurement temperature value under three structure of temperature value and model;By the parameter combination of table 1, three kinds of models, 17 groups of experiment conditions are extracted Under maximum temperature.Model two and model three are optimized respectively by the experimental result, i.e., by being tested, utilize reality Test modified result finite element analysis model, it is ensured that the accuracy of experiment scene model;Its optimization method has: refinement finite element analysis The physical function parameter for the bone that the grid of model, measurement and configuration experiment are selected, make the simulation result of model two and model three with Experimental result matches, and then the optimum results for improving the accuracy of simulation result, and optimization being obtained are applied to model one (i.e. The physical function parameter of the sizing grid and bone that guarantee the refinement of model one is consistent with model two and model three, it is ensured that three kinds have The reliability of finite element analysis model);
Step 3 carries out model one, model two and the model three after optimization according to experimental result to bore bone thermometric analogue simulation It obtains simulation result, for the reliability of finite element analysis model, needs to correct finite element analysis model with experimental result, with true Protect the real reliability of finite element analysis model;Extract analog temperature value, the model of the drill point of model one in simulation result The two analog temperature value buried at dress thermocouple and the analog temperature value of model three buried at dress thermocouple;
Step 4 calculates the highest of model two under different brill bone parameter combinations according to simulation result (result of extraction) Between analog temperature value and the highest analog temperature value of model one and the highest analog temperature value and model one of model three most Relative error between high analog temperature value, fitting the different relative error formula bored under bone parameter, (this relative error is public Formula is the maximum temperature value measured for correcting experiment), and the prediction equation of the practical drill point maximum temperature of model one is calculated, According to the highest measurement temperature value under the relative error formula, prediction equation, two structure of model and the highest under three structure of model Measurement temperature value calculates the practical drill point maximum temperature value under one structure of model, the practical drill point highest temperature obtained at this time Angle value is more accurate;Specifically:
According to extraction as a result, calculate separately identical experiment parameter combination drag two and three maximum temperature of model relative to The highest analog temperature value that model one, model two and model three measure is denoted as by the error between one maximum temperature of model respectively T1、T2And T3, under different brill bone parameter combinations, the highest analog temperature value that model two measures is relative to the opposite of model one Error is denoted as: δ21=(T2-T1)/T1, different parameters combination under error be denoted as: δ21-1、δ21-2、…δ21-17;Similarly, model three The highest analog temperature value measured is denoted as relative to the relative error of model one: δ31=(T3-T1)/T1, model three is relative to model One error is denoted as: δ31-1、δ31-2、…δ31-17, Fig. 5 be two maximum temperature of model that is calculated according to the method described above relative to The error map of one maximum temperature of model.
Responds Surface Methodology obtains certain data using reasonable test design method and by experiment, using polynary secondary Regression equation carrys out the functional relation between data fitting and response, seeks optimum process ginseng by the analysis to regression equation Number, solves a kind of statistical method of Multivariable.Different brill bone parameter drags two is measured using Responds Surface Methodology Highest analog temperature value analyzed relative to the relative error of model one, different brill bone parameters includes bit diameter, master Axis revolving speed and feed speed, and fit model two relative to the relative error of model one and bore the function public affairs between bone parameter Formula:
δ21=A21+B21*d+C21*v+D21*f+E21*d*v+F21*d*f+G21*v*f+H21*d^2+I21*v^2+J21* f^2, (1)
Wherein A, B, C, D, E, F, G, H, I and J represent coefficient, and d represents bit diameter, and v represents the speed of mainshaft, f represent into To speed;
After the data analytical calculation of emulation experiment measurement, two maximum temperature of model being fitted is relative to model one Function formula between the error and brill bone parameter of maximum temperature are as follows: e=0.30786-0.24800 × d-2.44193E-004 × v-6.27982E-003×f-1.93111E-005×d×v+1.10599E-003×d×f+1.02041E-006×v×f+ 0.041989×d2+1.71257E-007×v2+3.99520E-005×f2。
Similarly, the highest analog temperature value measured using Responds Surface Methodology to different brill bone parameter drags three is opposite It is analyzed in the relative error of model one, different brill bone parameters includes bit diameter, the speed of mainshaft and feed speed, and is intended Model three-phase is closed out for the relative error of model one and bores the function formula between bone parameter:
δ31=A31+B31*d+C31*v+D31*f+E31*d*v+F31*d*f+G31*v*f+H31*d^2+I31*v^2+J31* f^2, (2)
Wherein A, B, C, D, E, F, G, H, I and J represent coefficient, and d represents bit diameter, and v represents the speed of mainshaft, f represent into To speed;
According to the calculation formula δ of relative error21=(T2-T1)/T1And δ31=(T3-T1)/T1It releases:
T1 practical drill point=T2 experiments/(δ21+1)
T1 practical drill point=T3 experiments/(δ31+1) (3);
Bone highest is bored when using the brill bone temperature measurement method of model two or model three during the experiment and obtaining experiment When temperature, using the relative error being obtained ahead of time and the function formula (1) and formula (2), two structure of model between bone parameter are bored Under highest measurement temperature value T2 experiments, highest measurement temperature value T under three structure of model3 experimentsAnd the practical drill point of model one is most High-temperature T1 practical drill pointPrediction equation (3) the practical drill point maximum temperature value under revised one structure of model is calculated T1 practical drill point
Step 5, the brill bone parameter that bone surgery is selected according to the practical drill point maximum temperature value, and by one knot of model Practical drill point maximum temperature value control under structure obtains more within the temperature range of boring osseous surgery needs by error correction Safe guidance can be carried out to osseous surgery is bored by boring bone temperature data for accurate highest, can be to avoid because of unreasonable brill bone Operation risk caused by parameter combination.
The method of the present invention has modified the brill bone maximum temperature value measured under experiment condition, improves and measures under experiment condition The accuracy of bone maximum temperature value is bored, bone process is bored for accurate guided operation and provides help.Modification method of the invention is not It is confined to bore the amendment of bone measured temperature, is equally applicable to the borehole temperature measurement amendment of other materials.Although above description A specific embodiment of the invention, but those familiar with the art should be appreciated that we are described specific Embodiment be merely exemplary, rather than for restriction to the scope of the present invention, those skilled in the art according to According to modification and variation equivalent made by spirit of the invention, should all cover in claimed model of the invention In enclosing.

Claims (10)

1. a kind of amendment thermocouple measurements obtain the method that practical drill point bores bone temperature, it is characterised in that: include:
Step 1 establishes three kinds of finite element analysis models, is respectively: model one: considering the cylindrical type shin bone of bone cavity liquid flowing Ideal model, model two: consider bone cavity liquid flowing cylindrical type shin bone on aperture bury dress thermocouple experiment scene model, Model three: the experiment scene model of dress thermocouple is buried in aperture on the cylindrical type shin bone for not considering the flowing of bone cavity liquid;
Step 2, carried out respectively according to the structure of model two and model three entity bore bone thermometric experiment obtain experimental result, from highest It is extracted in temperature extraction region under three structure of highest measurement temperature value and model in experimental result under two structure of model most High measurement temperature value;The optimization knot that model two and model three are optimized respectively by the experimental result, and optimization is obtained Fruit is applied to model one;
Step 3, according to experimental result to model one, model two and the model three after optimization carry out bore bone thermometric analogue simulation obtain Simulation result extracts the drill point analog temperature value of model one in simulation result, the simulation of model two buried at dress thermocouple The analog temperature value of temperature value and model three buried at dress thermocouple;
Step 4 calculates the highest analog temperature and model one of model two under different brill bone parameter combinations according to simulation result Highest analog temperature between and model three highest analog temperature and model one highest analog temperature between it is opposite accidentally Difference fits the different relative error formula bored under bone parameter, and calculates pushing away for the practical drill point maximum temperature of model one Formula is calculated, according under three structure of highest measurement temperature value and model under the relative error formula, prediction equation, two structure of model Highest measurement temperature value calculate the practical drill point maximum temperature value under one structure of model;
Step 5, the brill bone parameter that bone surgery is selected according to the practical drill point maximum temperature value, and will be under one structure of model Practical drill point maximum temperature value control bore osseous surgery need within the temperature range of.
2. a kind of amendment thermocouple measurements according to claim 1 obtain the method that practical drill point bores bone temperature, It is characterized in that: the step 4 specifically:
The highest analog temperature that model one, model two and model three measure is denoted as T respectively1、T2And T3, join in different brill bones Under array is closed, the highest analog temperature that model two measures is denoted as relative to the relative error of model one: δ21=(T2-T1)/T1, mould The highest analog temperature that type three measures is denoted as relative to the relative error of model one: δ31=(T3-T1)/T1, according to relative error Calculation formula δ21=(T2-T1)/T1And δ31=(T3-T1)/T1It releases: T1=T2/(δ21+ 1) and T1=T3/(δ31+ 1) it, and then obtains To the practical drill point maximum temperature T of model one1 practical drill pointPrediction equation are as follows: T1 practical drill point=T2 experiments/(δ21+ 1), T1 practical drill point= T3 experiments/(δ31+1);
The highest analog temperature measured using Responds Surface Methodology to different brill bone parameter drags two is relative to model one Relative error is analyzed, and different brill bone parameters includes bit diameter, the speed of mainshaft and feed speed, and fits model two Relative to the function formula between the relative error and brill bone parameter of model one: δ21=A21+B21*d+C21*v+D21*f+E21*d*v +F21*d*f+G21*v*f+H21*d^2+I21*v^2+J21* f^2, wherein A, B, C, D, E, F, G, H, I and J represent coefficient, and d is represented Bit diameter, v represent the speed of mainshaft, and f represents feed speed;
Similarly, model three is fitted relative to the relative error of model one and bores the function formula between bone parameter: δ31=A31+ B31*d+C31*v+D31*f+E31*d*v+F31*d*f+G31*v*f+H31*d^2+I31*v^2+J31* f^2, wherein A, B, C, D, E, F, G, H, I and J represent coefficient, and d represents bit diameter, and v represents the speed of mainshaft, and f represents feed speed;
Bone maximum temperature is bored when using the brill bone temperature measurement method of model two or model three during the experiment and obtaining experiment When, using the relative error being obtained ahead of time and bore the function formula between bone parameter, the highest measurement temperature under two structure of model Value T2 experiments, highest measurement temperature value T under three structure of model3 experimentsAnd the practical drill point maximum temperature T of model one1 practical drill pointPush away It calculates formula and the practical drill point maximum temperature value T under revised one structure of model is calculated1 practical drill point
3. a kind of amendment thermocouple measurements according to claim 1 obtain the method that practical drill point bores bone temperature, It is characterized in that: model two and model three being optimized respectively by the experimental result in the step 2, optimization method has: The grid of finite element analysis model is refined, the physical function parameter for the bone that measurement and configuration experiment are selected makes model two and model Three simulation result matches with experimental result.
4. a kind of amendment thermocouple measurements according to claim 1 obtain the method that practical drill point bores bone temperature, Be characterized in that: the maximum temperature of the model one extracts region and is located at drill hole inner wall bottom zone, the model two and model three Maximum temperature extract region and be located at the bottom zone of aperture.
5. a kind of amendment thermocouple measurements according to claim 1 obtain the method that practical drill point bores bone temperature, Be characterized in that: the selection mode of the finite element analysis model is: bone model being set as cylinder type bone model, in cylinder type Take the segment of 20~50 degree of sizes at drill bit as finite element analysis model in bone model.
6. a kind of computer equipment including memory, processor and stores the meter that can be run on a memory and on a processor Calculation machine program, which is characterized in that the processor performs the steps of when executing described program
Step 1 establishes three kinds of finite element analysis models, is respectively: model one: considering the cylindrical type shin bone of bone cavity liquid flowing Ideal model, model two: consider bone cavity liquid flowing cylindrical type shin bone on aperture bury dress thermocouple experiment scene model, Model three: the experiment scene model of dress thermocouple is buried in aperture on the cylindrical type shin bone for not considering the flowing of bone cavity liquid;
Step 2, carried out respectively according to the structure of model two and model three entity bore bone thermometric experiment obtain experimental result, from highest It is extracted in temperature extraction region under three structure of highest measurement temperature value and model in experimental result under two structure of model most High measurement temperature value;The optimization knot that model two and model three are optimized respectively by the experimental result, and optimization is obtained Fruit is applied to model one;
Step 3, according to experimental result to model one, model two and the model three after optimization carry out bore bone thermometric analogue simulation obtain Simulation result extracts the drill point analog temperature value of model one in simulation result, the simulation of model two buried at dress thermocouple The analog temperature value of temperature value and model three buried at dress thermocouple;
Step 4 calculates the highest analog temperature value and model of model two under different brill bone parameter combinations according to simulation result Between one highest analog temperature value and between the highest analog temperature value of model three and the highest analog temperature value of model one Relative error, fit the different relative error formula bored under bone parameter, and calculate the practical drill point highest of model one The prediction equation of temperature, according to the highest measurement temperature value and model under the relative error formula, prediction equation, two structure of model Highest measurement temperature value under three structures calculates the practical drill point maximum temperature value under one structure of model;
Step 5, the brill bone parameter that bone surgery is selected according to the practical drill point maximum temperature value, and will be under one structure of model Practical drill point maximum temperature value control bore osseous surgery need within the temperature range of.
7. a kind of computer equipment according to claim 6, it is characterised in that: the step 4 specifically:
The highest analog temperature value that model one, model two and model three measure is denoted as T respectively1、T2And T3, in different brill bones Under parameter combination, the highest analog temperature value that model two measures is denoted as relative to the relative error of model one: δ21=(T2-T1)/ T1, the highest analog temperature value that model three measures is denoted as relative to the relative error of model one: δ31=(T3-T1)/T1, according to phase To the calculation formula δ of error21=(T2-T1)/T1And δ31=(T3-T1)/T1It releases: T1=T2/(δ21+ 1) and T1=T3/(δ31+ 1), and then the practical drill point maximum temperature of model one: T is obtained1 practical drill point=T2 experiments/(δ21+ 1), T1 practical drill point=T3 experiments/(δ31+ 1);
The highest analog temperature value measured using Responds Surface Methodology to different brill bone parameter drags two is relative to model one Relative error analyzed, different brill bone parameters includes bit diameter, the speed of mainshaft and feed speed, and fits model Two relative to the function formula between the relative error and brill bone parameter of model one: δ21=A21+B21*d+C21*v+D21*f+E21* d*v+F21*d*f+G21*v*f+H21*d^2+I21*v^2+J21* f^2, wherein A, B, C, D, E, F, G, H, I and J represent coefficient, d generation Table bit diameter, v represent the speed of mainshaft, and f represents feed speed;
Similarly, model three is fitted relative to the relative error of model one and bores the function formula between bone parameter: δ31=A31+ B31*d+C31*v+D31*f+E31*d*v+F31*d*f+G31*v*f+H31*d^2+I31*v^2+J31* f^2, wherein A, B, C, D, E, F, G, H, I and J represent coefficient, and d represents bit diameter, and v represents the speed of mainshaft, and f represents feed speed;
Bone maximum temperature is bored when using the brill bone temperature measurement method of model two or model three during the experiment and obtaining experiment When, using the relative error being obtained ahead of time and bore the function formula between bone parameter, the highest measurement temperature under two structure of model Value T2 experiments, highest measurement temperature value T under three structure of model3 experimentsAnd the practical drill point maximum temperature T of model one1 practical drill pointPush away It calculates formula and the practical drill point maximum temperature value T under revised one structure of model is calculated1 practical drill point
8. a kind of computer equipment according to claim 6, it is characterised in that: pass through the experimental result in the step 2 Model two and model three are optimized respectively, optimization method has: refining the grid of finite element analysis model, measurement and configuration The physical function parameter for testing the bone selected, makes model two and the simulation result of model three match with experimental result.
9. a kind of computer equipment according to claim 6, it is characterised in that: the maximum temperature of the model one extracts area Domain is located at drill hole inner wall bottom zone, and the model two is located at the bottom end area of aperture with the maximum temperature extraction region of model three Domain.
10. a kind of computer equipment according to claim 6, it is characterised in that: the selection of the finite element analysis model Mode is: bone model being set as cylinder type bone model, 20~50 degree of sizes are taken at drill bit in cylinder type bone model Segment is as finite element analysis model.
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