CN109307493B - Real-time detection method for abrasion condition of constant-section disc cutter of hard rock tunnel boring machine - Google Patents
Real-time detection method for abrasion condition of constant-section disc cutter of hard rock tunnel boring machine Download PDFInfo
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Abstract
The invention discloses a real-time detection method for abrasion condition of a disc cutter with a constant section of a hard rock tunnel boring machine, relates to a tunnel boring equipment construction technology, through mechanical analysis on the contact action of the hob and the hard rock, by means of a finite element simulation means and by means of a friction and wear simulation test and a hob-hard rock linear cutting test, the mutual relation between hard rock tunnel construction parameters, rock mass joint characteristic parameters, tunneling parameters, cutter head cutter arrangement structure parameters and rock mass mechanics and material parameters is established, the abrasion state of any front single-edge normal section disc hob of the cutter head is detected in real time in the geological tunneling process of different rock mass characteristics of the hard rock tunnel tunneling machine, and the defect that the technical means for effectively detecting the abrasion of the normal section disc hob in real time aiming at different rock mass joint structures, different cutter head arrangement characteristics and cutter configuration characteristics in the prior art is overcome.
Description
Technical Field
The technical scheme of the invention relates to a construction technology of tunneling equipment, in particular to a real-time detection method for the abrasion condition of a disc cutter on a constant section of a hard rock tunneling machine.
Background
In the process of building a hard rock tunnel, a disc cutter with a Constant Cross Section (CCS) is widely used as a rock breaking cutter on a hard rock Tunnel Boring Machine (TBM). However, in the construction process of the hard rock tunnel boring machine, the cutter abrasion problem is serious due to the high-strength and high-hardness rock, and the cutter abrasion becomes an important factor which troubles the construction safety and efficiency of the hard rock tunnel boring machine. Because the hob working environment is severe, the rock body joint structure is special, the rock destruction process is complex, and the direct and effective technical means for detecting the abrasion state of the cutter in real time is still lacked at present. The abrasion of the cutter can weaken the rock breaking efficiency of the cutter, increase the excavation load of the tunnel boring machine, cause extra consumption of tunneling energy, and even cause machine failure due to the excessive abrasion of the cutter, thereby greatly improving the construction cost. The real-time detection of the abrasion state of the cutter becomes the urgent need of avoiding construction faults, optimizing tunneling parameters, improving tunneling efficiency and saving construction cost.
CN201510617860.4 discloses a real-time calculation method for abrasion loss of a disc cutter of a hard rock tunnel boring machine, which considers the factor that the change of the geometric radius of the cutter is correlated with the change of the excavation parameters of the tunnel boring machine, predicts the change of the geometric radius of the cutter by analyzing the change of the excavation parameters, and further achieves the purpose of predicting the abrasion degree of the cutter. CN201610771253.8 discloses a method for estimating the weight wear of a disc cutter with a constant section of a hard rock tunnel boring machine, which uses the normal thrust load of the disc cutter to estimate the cutter wear, but the method has the defect that the normal thrust load of the disc cutter is difficult to truly reflect the stress condition on a contact infinitesimal element when the cutter breaks rock, thereby affecting the accuracy of the estimated result. CN201710910463.5 discloses a method for predicting the abrasion condition of a disc cutter with a constant section of a rock tunnel boring machine, which analyzes the mechanical process of the hob in contact with broken rock, however, the method lacks the research on the influence of the rock friction performance and the rock joint spacing on the mechanical process of contact friction abrasion in the analysis process, and the corresponding experimental research does not fully consider the influence of the coupling effect of the joint strike inclination angle and the joint spacing, so that the coefficient of a calculation model needs to be further adjusted according to actual construction data, and the accuracy of the prediction result is influenced.
In a word, in the actual tunneling of the hard rock tunnel boring machine, the special joint structure of the hard rock body can change the mechanical property of the rock, weaken the bearing capacity of the rock body and cause the stress condition of the cutter to be more complex and diversified.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: the method comprises the steps of establishing the mutual relation among hard rock tunnel construction parameters, rock mass joint characteristic parameters, tunneling parameters, cutter head cutter arrangement structure parameters, rock mass mechanics and material parameters by means of a finite element simulation means and by means of a friction wear simulation test and a hob-hard rock linear cutting test through mechanical analysis of the contact action of a hob and hard rock, so that the hard rock tunnel boring machine can detect the abrasion state of any front single-edge normal-section disc cutter of a cutter head in real time in geological tunneling processes of different rock mass characteristics, and the defects that the abrasion state of the normal-section disc cutter is lack of effective real-time detection technical means for different rock mass joint structures, different cutter head arrangement characteristics and cutter configuration characteristics in the prior art are overcome.
The technical scheme adopted by the invention for solving the technical problem is as follows: the real-time detection method for the abrasion condition of the disc cutter with the constant section of the hard rock tunnel boring machine comprises the following specific steps:
firstly, determining the correlation among the cutter head rotating speed, the tunneling rate and the cutting depth of the hard rock tunnel boring machine:
the interrelation among the cutter head rotation speed, the tunneling rate and the cutting depth of the hard rock tunnel boring machine is determined by the following formula (1),
in the formula (1), p is the cutting depth of the hard rock tunnel boring machine, namely the boring distance of the hard rock tunnel boring machine when a cutter head rotates for one circle, the unit is mm/r, v is the boring speed of the hard rock tunnel boring machine, the unit is mm/min, n is the cutter head rotating speed of the hard rock tunnel boring machine, the unit is r/min, and the cutter head rotating speed and the boring speed are all boring parameters acquired by a data acquisition system arranged in the hard rock tunnel boring machine in real time;
secondly, determining the correlation among the cutter thrust, the cutter torque and the cutting coefficient of the hard rock tunnel boring machine:
the hard rock tunnel boring machine has a correlation among the cutter head thrust, cutter head torque and cutting coefficient, which is determined by the following formula (2),
in the formula (2), CC is the cutting coefficient of the hard rock tunnel boring machine, N is the number of hobs mounted on the cutter head of the hard rock tunnel boring machine, and r isiThe unit is m for the installation radius of the No. i hob installed on a cutterhead of the hard rock tunnel boring machine,the method is characterized in that the sum of the installation radiuses of N hobbing cutters arranged on a cutter head of the hard rock tunnel boring machine is in the unit of m, Tor is the cutter head torque of the hard rock tunnel boring machine and is in the unit of KN.m, real-time acquisition is carried out by a data acquisition system arranged inside equipment of the hard rock tunnel boring machine, Th is the cutter head thrust of the hard rock tunnel boring machine, is in the unit of KN, and real-time acquisition is carried out by a data acquisition system arranged inside the equipment of the hard rock tunnel boring machine;
and thirdly, determining the sliding distance of the ith constant-section disc cutter on the cutter head in the unit circulating distance tunneling process of the hard rock tunnel boring machine in the actual motion:
the sliding distance of the hard rock tunnel boring machine in the actual motion of the ith constant-section disc cutter on the cutterhead in a unit boring cycle is determined by the following formula (3),
in equation (3): liThe sliding distance of the hard rock tunnel boring machine in the actual motion of the No. i constant-section disc cutter on a cutterhead in a unit boring cycle is m, p is the cutting depth of the hard rock tunnel boring machine in mm, RiThe method is characterized in that the method is the installation radius of an ith constant-section disc cutter on a cutter head of the hard rock tunnel boring machine, L is the boring distance of a unit boring cycle of the hard rock tunnel boring machine in mm, CC is the cutting coefficient of the hard rock tunnel boring machine, and mu is the friction coefficient of the hard rock tunnel boring machine for boring geological rocks;
and fourthly, determining the contact stress acting on the contact arc length when the disc cutter on the constant section of the hard rock tunnel boring machine breaks rock:
the contact stress P acted on the contact arc length when the disc cutter at the constant section of the hard rock tunnel boring machine breaks rock is determined by the following formula (4) with the unit of Mpa,
in equation (4): s is the distance between adjacent cutter positions on the cutter head of the hard rock tunnel boring machine, and the unit is mm and sigmacThe uniaxial compressive strength of geological rock for tunneling is Mpa, sigmatThe tensile strength of geological rock is tunneled in Mpa, b is the width of a blade of a disc cutter with a constant section, p is the cutting depth of a hard rock tunnel boring machine in mm, A is the included angle between a rock mass joint plane and the axis of a tunnel, called a rock mass joint angle for short, and J is radian radSIs the rock mass joint spacing, with the unit of m, and when the rock mass joint spacing is 400m, the mechanical property of the rock mass is very similar to that of the complete rock, therefore, JSMaximum 400m, representing intact rock;
and fifthly, determining the correlation between the weight abrasion loss and the rock abrasiveness index of any one front single-edge constant-section disc cutter on a cutter head of the hard rock tunnel boring machine in rock excavation of different characteristics, the contact stress acting on the contact arc length when the constant-section disc cutter breaks rock and the sliding distance in actual movement of the constant-section disc cutter:
weight abrasion loss W of any one front single-edge constant-section disc cutter on cutter head of hard rock tunnel boring machineiThe correlation between the rock abrasiveness index CAI and the contact stress P acting on the contact arc length when the constant-section disc cutter breaks rock and the sliding distance l in actual movement thereof is determined by the following formula (5),
W＝K·CAIα·Pβ·lγ(5)，
in equation (5): w is the weight abrasion loss of any one front single-edge constant-section disc cutter on a cutter head of the hard rock tunnel boring machine, the unit is Kg, CAI is a rock abrasiveness index, the weight abrasion loss is measured through an international rock abrasiveness CAI test, P is the contact stress acting on the contact arc length when the constant-section disc cutter breaks rock, the unit is Mpa, l is the sliding distance in the actual motion of the constant-section disc cutter, the unit is m, alpha, beta and gamma are constants, the weight abrasion loss is obtained through a standard ring block abrasion simulation test method, and K is corrected according to the actual hob-hard rock linear cutting test on the basis of the standard ring block abrasion simulation test data fitting;
and sixthly, determining the specific numerical value of the weight abrasion loss of the No. i front single-edge constant-section disc cutter on the cutter head of the hard rock tunnel boring machine during normal boring:
the specific numerical value of the weight abrasion loss of the No. i front single-edge constant-section disc cutter on the cutter head of the hard rock tunnel boring machine during normal boring is determined by the following formula (6),
Wi＝K·CAIa·Pb·li γ(6)，
in equation (6): wiThe weight abrasion loss of the No. i front surface single-edge constant-section disc cutter on the cutter head of the hard rock tunnel boring machine is Kg, CAI is rock abrasiveness index, P is contact stress acting on contact arc length when the constant-section disc cutter breaks rock, and Mpa and l are unitsiThe sliding distance is the sliding distance in the actual motion of the No. i constant-section disc cutter on the cutter head of the hard rock tunnel boring machine, the unit is m, K, alpha, beta and gamma are constants, the sliding distance is obtained by means of a standard ring block abrasion simulation test and by combining a linear cutting experiment of actual rock breaking of the disc cutter, and data fitting analysis is utilized;
the cutting depth p of the hard rock tunnel boring machine in the formula (1), the cutting coefficient CC of the hard rock tunnel boring machine in the formula (2), and the sliding distance l in the actual motion of the No. i constant-section disc cutter on the cutter head of the hard rock tunnel boring machine in the formula (3)iThe contact stress P acting on the contact arc length when the constant-section disc cutter of the hard rock tunnel boring machine in the formula (4) breaks rock, the weight abrasion loss W of any one front single-edge constant-section disc cutter on the hard rock tunnel boring machine cutter head in the formula (5) and the ith front single-edge constant-section disc cutter on the hard rock tunnel boring machine cutter head in the formula (6)Weight wear W of face disk cutteriThe method is characterized in that tunneling parameters including a cutterhead rotating speed n, a tunneling speed v, a cutterhead torque Tor and a cutterhead thrust Th acquired by a data acquisition system of a tunnel boring machine in real time, and rock parameters including a rock joint angle alpha and a rock joint distance J acquired by engineering geological surveySUniaxial compressive strength sigma of tunneling geological rockcAnd tensile strength sigma of the excavated geological rocktThe rock abrasiveness index CAI obtained by the rock abrasion test, the rock friction coefficient mu and the constant values K, alpha, beta and gamma obtained by the friction abrasion simulation test and the linear cutting test are all obtained by fast calculation of a computer, so that the real-time detection of the abrasion of the disc cutter on the constant section of the hard rock tunnel boring machine is completed.
The real-time detection method for the abrasion condition of the constant-section disc cutter of the hard rock tunnel boring machine relates to a data acquisition system arranged in equipment of the hard rock tunnel boring machine and a real-time acquisition method thereof, a rock abrasiveness CAI test, a standard ring block abrasion simulation test method and a hob-hard rock linear cutting test method, which are well known in the technical field, and the uniaxial compressive strength sigma of the excavated geological rockcAnd the tensile strength sigma of the tunneling geological rocktThe rock abrasiveness index CAI and the rock friction coefficient μ were measured by experiments.
The invention has the following beneficial effects:
compared with the prior art, the invention has the following prominent substantive characteristics:
(1) compared with the technology disclosed in CN201510617860.4, the invention has the following outstanding substantive characteristics:
1) the method used from predicting wear is compared:
in the tunneling process of the rock tunnel boring machine, the hob is contacted and rolled under the combined action of the thrust and the torque of the cutter head and cuts and peels off the rock, and the cutter and the rock form a mechanical system which is contacted and interacted with each other. Hob wear is the result of the constant interaction of the surface material of the hob ring with the surface material of the rock mass, which varies with the contact material, the contact type, the contact load and the contact conditions. The inherent rule of the abrasion evolution of the hob is the basis and the key for predicting the abrasion evolution process of the hob.
The CN201510617860.4 provides a method for predicting the abrasion degree of the hob of the tunnel boring machine through the comparative analysis of the excavation parameter change caused by the change of the geometric radius of the hob before and after abrasion, and the systematic research on the essential process of the abrasion evolution of the hob is not carried out, so that the intermediate process of the abrasion evolution of the hob is difficult to predict. CN201510617860.4 considers the factor that the change of the hob geometric radius is correlated with the change of the tunneling parameter of the tunnel boring machine, and predicts the change of the hob geometric radius by analyzing the change of the tunneling parameter, so as to achieve the purpose of predicting the abrasion degree of the hob, and the defect of the method is that: the application of the internal rules of the hob abrasion evolution process is lacked, and the accurate estimation of the middle process of the hob abrasion evolution process is difficult to realize.
In the process of establishing the real-time detection method, the method fully considers the controllability of the inherent rule of the hob abrasion evolution process on the hob abrasion evolution process based on the application of the inherent rule of the hob abrasion evolution process, innovatively provides the real-time detection method of the hob abrasion process based on the abrasion evolution mechanism and test analysis and considering the influences of the rock mass joint structure characteristics and the cutter head arrangement characteristics, and realizes the real-time prediction of the abrasion intermediate process of the disc cutter of the constant section of the hard rock tunnel boring machine.
2) Comparison of the parameters used by the two methods:
wear is the result of the constant contact interaction of two solid surface materials. Contact material characteristics, contact load and contact conditions are key factors affecting wear evolution. During the specific construction process, the hob material of the rock tunnel boring machine is basically kept consistent. Rock mass changes with different geological conditions, and the abrasion property of rock directly influences the abrasion of the hob. Moreover, the rock mass joint structure and the cutter arrangement characteristics of the cutter head can influence the stress of the hob, and further influence the abrasion process of the hob.
CN201510617860.4 predicts hob abrasion by analyzing the mutual relation of tunneling parameters before and after hob abrasion, and neglects the influence of rock mass materials and joint structures on the hob abrasion. CN201510617860.4 utilizes the correlation of tunneling parameters to predict the degree of tool wear, and has the following disadvantages: neglected to rock mass joint parameter and the analysis of the cutter head arrangement parameter to the hobbing cutter atress, influenced the accuracy of prediction result, so from the angle of analysis hobbing cutter and rock mass mutual coupling effect consideration, this patent lacks rock mass material and joint structure parameter and the influence analysis of cutter head arrangement parameter to the hobbing cutter wearing and tearing.
In the process of analyzing the contact abrasion action of the hob and the rock mass, the invention fully considers the influence of rock abrasion characteristics on the abrasion process of the hob and combines the special damage process of the rock and the influence of rock mass joint structure characteristics and cutter disc cutter arrangement characteristics on contact load, and innovatively provides a constant-section disc hob abrasion detection method which takes the rock friction abrasion characteristics, contact stress considering the rock mass joint influence and the sliding distance of the hob as key parameters, wherein the contact stress comprises the influence of rock mechanics parameters, the rock mass joint structure and cutter disc cutter arrangement structure parameters (mainly referring to cutter spacing), and the influence of tunneling parameters and rock friction properties is included in the calculation of the sliding distance of the hob, and the method comprehensively utilizes the mutual relationship among the tunneling parameters, the cutter disc cutter arrangement structure parameters, the rock mass mechanics and the material parameters, real-time detection of the abrasion evolution process of the hob is realized.
(2) Compared with the technology disclosed in CN201610771253.8, the invention has the following outstanding substantive characteristics:
1) the analytical comparison is made from the point of view of the load parameters used for predicting the wear:
wear is the result of the contact between two solid surfaces, and contact stresses are a key mechanical parameter that influences the wear process. In the rock breaking process of the hob cutter, the contact between the hob cutter and a rock body is surface contact, and the contact stress can directly reflect the stress condition of the material on each infinitesimal element in the contact area.
CN201610771253.8 predicts cutter wear by disc cutter normal thrust load, and is difficult to truly reflect the stress condition on contact elements when the cutter breaks rock. As can be seen from the disclosure and the examples of CN201610771253.8, this prior art considers the influence factor of load, and tries to predict the tool wear process by the normal thrust load of disc cutter and the parameters of material mechanics, but it has the following disadvantages: the normal thrust load of the disc cutter is difficult to reflect the material load on each infinitesimal element in the contact area, and the accuracy of the prediction result is influenced.
In the process of establishing the real-time detection method, the influence of the contact stress on the tool abrasion process is fully considered, the contact stress is used as a key mechanical parameter for predicting the tool abrasion, and the influence of rock structure parameters (namely the joint trend inclination angle and the joint interval) on the contact stress is comprehensively analyzed for the first time, so that the calculation model is closer to the actual rock breaking process of the hob, and the accuracy of the real-time detection result is improved.
2) Comparison of mechanical analysis employed by the two methods:
the rock material is a special brittle material, the damage process is complex, and not only elastic deformation and plastic deformation exist, but also the damage failure process exists. Meanwhile, the rock mass joint characteristics and the cutter arrangement characteristics of the cutter head can influence the stress of the hob when the hob breaks rock.
As can be seen from the disclosure and examples of CN201610771253.8, this prior art only uses the elastic modulus and poisson's ratio of the material to calculate the load, and tries to reflect the actual load characteristics through the elastic mechanical model. But it has disadvantages in that: the single elastic mechanical analysis can not reflect the failure process of rock damage. Therefore, from the viewpoint of analyzing the rock breaking mechanical process of the hob, the patent technology has large calculation errors in the load calculation process.
In the hob rock breaking mechanical analysis process, the influence of the special rock breaking process, the rock joint structure characteristics and the cutter arrangement characteristics of the cutter is fully considered, starting from the analysis of the rock mass bearing capacity, a contact stress calculation formula considering the influence of the rock mass joint angle, the rock mass joint distance and the cutter spacing is innovatively provided, the real-time detection error is reduced, and the pertinence, the applicability and the universality of the real-time detection method are enhanced.
(3) Compared with the technology disclosed in CN201710910463.5, the invention has the following outstanding substantive characteristics:
1) the analytical comparison is made from the point of view of the parameters used for the analysis of the sliding distance:
the frictional properties of the contact surfaces directly affect the size of the slip zone in the rolling contact zone under traction. In the actual construction of the hard rock tunnel boring machine, the material property of the cutter is basically unchanged, and the rock mass characteristics of the excavated geology are continuously changed. Therefore, in the rock breaking process of the hob, the sliding distance in the rolling movement of the hob is determined by the load of the hob and the frictional property of the rock.
CN201710910463.5 calculates the sliding distance of the hob roll sliding movement according to the relative value of the horizontal force and the normal force which the disc cutter is subjected to, and neglects the influence of the rock contact surface friction property on the sliding distance. As can be seen from the disclosure and the examples of CN201710910463.5, this prior art attempts to calculate the sliding distance in the rolling motion of the hob by the disc cutter cutting coefficient, taking into account the influence of the load, but has the following disadvantages: the cutting coefficient of the disc cutter is difficult to comprehensively reflect the relative motion condition of the contact surface on each infinitesimal element, and the accuracy of a prediction result is further influenced.
In the process of establishing the real-time detection method, the influence of the friction property of the load and the contact surface on the rolling and sliding motion of the hob is fully considered, the key parameter for calculating the sliding distance of the hob is innovatively provided by using the cutting coefficient and the rock friction coefficient, so that the calculation model is closer to the actual rolling and sliding contact process of the hob and the rock mass, and the accuracy of the real-time detection result is improved.
2) The two are analyzed and compared from the point of view of the parameters used for the contact stress:
for the actual construction geology of the hard rock tunnel boring machine, the rock mass joint is a typical characteristic of the hard rock geology, and the trend and the distance of the rock mass joint are important parameters influencing the mechanical property of the rock mass.
As can be seen from the disclosure and examples of CN201710910463.5, the prior art considers the influence of the rock body joint angle (i.e. the inclination angle of the rock body joint trend) on the contact load, but neglects the influence of the rock body joint distance on the contact load in the rock breaking process of the hob. In consideration of analyzing the mechanical process of hob rock breaking under the coupling action of the joint distance and the joint angle of the rock mass, the prior art still has calculation errors in the load calculation process.
In the mechanical process of analyzing the contact action of the hob and the hard rock, the influence of the joint spacing and the joint trend inclination angle of the rock mass on the contact load is fully considered, a contact stress calculation formula considering the coupling action of the joint spacing and the joint angle of the rock mass is innovatively provided by means of a numerical simulation method and a large number of hob-hard rock linear cutting experiments, the prediction error is reduced, the accuracy of a real-time detection method is improved, and the application range of the real-time detection method is expanded.
(4) Compared with the earlier patent technology of the inventor team, the method further analyzes the influence of the rock friction coefficient on the motion characteristic of the hob according to the mechanical process of rock breaking of the hob, and provides a new formula for calculating the sliding component in the motion process of the hob; by adopting a method combining theoretical analysis, numerical simulation and experimental research, on the basis of considering the influence of the rock mass joint inclination angle, the influence of the rock mass joint interval on the hob-hard rock contact stress is mainly analyzed, the internal rule that the hob-hard rock contact stress changes along with the rock mass joint interval in the tunneling process of the hard rock tunnel boring machine is disclosed, the hob-hard rock contact stress calculation formula under the coupling effect of the rock mass joint trend inclination angle and the joint interval is innovatively provided, and the prediction accuracy of the prediction model is improved.
The influence of the rock friction property on the motion characteristic of the hob is analyzed by theoretical analysis and a numerical simulation method in combination with a large number of hob-hard rock linear cutting experiments, the change rule of the contact stress between the hob and the hard rock along with the joint distance of the rock is disclosed, the special innovative technology of the invention is obtained by combining the conventional technical means in the field on the basis of the prior patent technology of the inventor team, and the special innovative technology is not easily obtained by technical personnel in the field.
Compared with the prior art, the invention has the following remarkable progress:
(1) the invention fully considers the influence of the rock body joint spacing and the joint trend inclination angle on the rock breaking mechanical process of the hob, provides a method for predicting the abrasion state of the disc hob with the constant section of the hard rock tunnel boring machine in real time through a method combining mechanism analysis, numerical simulation and experimental research, extracts the abrasion evolution information of the cutter state from the response change among the hard rock tunnel construction parameters, rock body rock material mechanical parameters, cutter arrangement of the cutterhead and cutter configuration parameters, realizes the real-time detection of the abrasion state of the disc hob with any front single-edge constant section of the cutterhead in the construction engineering of rock with different characteristics, and overcomes the defects of lack of pertinence and universality in the prior art.
(2) Based on the analysis of the inherent rule of the abrasion evolution of the hob under the actual working condition, the invention comprehensively considers the influences of key factors such as the rock friction abrasion performance, the rock body joint trend inclination angle and the joint interval, the rock mechanics and material characteristics, the cutter arrangement parameters (cutter interval) of the cutterhead, the tunneling load, the load circulation effect and the like, calculates the sliding component in the movement of the hob by utilizing the tunneling parameters acquired by the hard rock tunnel boring machine in real time, the rock parameters obtained by geological exploration and rock experiments, calculates the contact load, predicts the abrasion state of the hob and provides a feasible way for detecting the abrasion process of the hob in real time in the actual engineering.
(3) The invention has remarkable improvements compared with CN 201710910463.5: the accuracy of the prediction model is improved, and the pertinence and universality of the prediction model in the application of the geological condition of the jointed rock mass are enhanced. The comparison value between the predicted deviation ratio before the CN201710910463.5 prediction model is adjusted with the detection deviation ratio of the detection model of the present invention is shown in table 1 and table 2:
table 1 shows the comparison value of the predicted deviation ratio of the CN201710910463.5 prediction model before the coefficient is not adjusted and the detection deviation ratio of the detection model of the invention on the weight abrasion loss of No. 12 front single-edge normal-section disc cutter on the cutter head of the hard rock tunnel boring machine in the process of typical 16-ring tunneling of rock mass strata
Table 2 shows the comparison value of the predicted deviation ratio of the CN201710910463.5 prediction model before the coefficient is not adjusted and the detection deviation ratio of the detection model of the present invention on the weight abrasion loss of No. 22 front single-edge normal-section disc cutter on the cutter head of the hard rock tunnel boring machine in the process of typical rock mass stratum 16-ring tunneling
As can be seen from tables 1 and 2, the deviation ratio of the model of the present invention is greatly reduced compared to the CN201710910463.5 model prediction model.
Drawings
The invention is further illustrated with reference to the following figures and examples.
Fig. 1 is a schematic view of the installation of disc cutters on the cutter head of a hard rock tunnel boring machine for tunnel construction.
Detailed Description
The embodiment shown in fig. 1 shows the mounting of disc cutters on the cutter head of a tunnel boring machine for tunnel construction: the axis of the cutter disc is positioned at the center of the cutter disc, the radius of the cutter disc is 2885mm, 42 cutter position numbers are provided, a 17in constant-section disc cutter is installed, and the cutter position numbers are respectively 1, 2, 3, … …, 40, 41 and 42. The larger the cutter position number is, the farther the cutter is from the center of the cutter head. The number between adjacent cutter positions is the difference of the installation radiuses of the adjacent cutter positions, which is called cutter spacing for short, and the unit is mm. 4 central double-edged hobs are arranged on the No. 1 to No. 8 cutter positions, the installation radius of the No. 1 cutter position on a cutter disc is 90mm, the cutter spacing between the No. 2 cutter position and the No. 1 cutter position is 86mm, the cutter spacing between the No. 3 cutter position and the No. 2 cutter position is 82mm, the cutter spacing between the No. 4 cutter position and the No. 3 cutter position is 86mm, the cutter spacing between the No. 5 cutter position and the No. 4 cutter position is 84mm, the cutter spacing between the No. 6 cutter position and the No. 5 cutter position is 86mm, the cutter spacing between the No. 7 cutter position and the No. 6 cutter position is 82mm, and the cutter spacing between the No. 8 cutter position and the No. 7 cutter position is 86 mm; 20 front single-edge hobs are arranged between the No. 8 cutter position and the No. 29 cutter position, the cutter positions are sequentially arranged from No. 9 to No. 28, wherein the 8 front single-edge hobs are arranged between the No. 8 cutter position and the No. 16 cutter position, the cutter positions are sequentially arranged from No. 9 to No. 16, the cutter spacing of each adjacent cutter position between the No. 8 cutter position and the No. 16 cutter position is 85mm, and the difference between the installation radius of the No. 16 cutter position and the installation radius of the No. 8 cutter position is 8 multiplied by 85 which is 680 mm; 12 front single-edge hobs are arranged between a No. 16 cutter position and a No. 29 cutter position, the cutter positions are sequentially arranged from No. 17 to No. 28, the cutter spacing between each adjacent cutter position between the No. 16 cutter position and the No. 29 cutter position is 84mm, and the difference between the installation radius of the No. 29 cutter position and the installation radius of the No. 16 cutter position is 12 multiplied by 84 which is 1092 mm; 14 edge single-edge hobs are arranged on the No. 29 to No. 42 cutter positions, the cutter spacing between the No. 30 cutter position and the No. 29 cutter position is 64mm, the cutter spacing between the No. 31 cutter position and the No. 30 cutter position is 63mm, the cutter spacing between the No. 32 cutter position and the No. 31 cutter position is 60mm, the cutter spacing between the No. 33 cutter position and the No. 32 cutter position is 57mm, the cutter spacing between the No. 34 cutter position and the No. 33 cutter position is 54mm, the cutter spacing between the No. 35 cutter position and the No. 34 cutter position is 43mm, the cutter spacing between the No. 36 cutter position and the No. 35 cutter position is 37mm, the No. 36 and No. 37 cutters are arranged on the same installation radius of the cutter head, the cutter spacing between the No. 38 cutter position and the No. 37 cutter position is 30mm, the cutter spacing between the No. 38 cutter position and the No. 39 cutter is arranged on the same installation radius of the cutter head, the No. 40 cutter position and the No. 30 cutter position is 23mm, the No..
Example 1
The method of the present invention is further illustrated by the following specific examples, which should not be construed as limiting the scope of the invention as claimed.
The real-time detection method for the abrasion condition of the disc cutter with the constant section of the hard rock tunnel boring machine comprises the following specific steps:
firstly, determining the correlation among the cutter head rotating speed, the tunneling rate and the cutting depth of the hard rock tunnel boring machine:
the interrelation among the cutter head rotation speed, the tunneling rate and the cutting depth of the hard rock tunnel boring machine is determined by the following formula (1),
in equation (1): p is the cutting depth of the hard rock tunnel boring machine, namely the boring distance of the hard rock tunnel boring machine when the cutter head rotates for one circle, the unit is mm/r, v is the boring speed of the hard rock tunnel boring machine, the unit is mm/min, n is the cutter head rotating speed of the hard rock tunnel boring machine, the unit is r/min, and the cutter head rotating speed and the boring speed are all boring parameters acquired by a data acquisition system arranged in the hard rock tunnel boring machine in real time;
in this embodiment, the rotation speed n of the cutter head is 6.65r/min, and when the tunneling rate v of a tunneling cycle is 78mm/min, the cutting depth p of the hard rock tunnel boring machine in the tunneling cycle is:
calculating the cutting depth p of the hard rock tunnel boring machine with the boring speed v of other different boring cycles by the same method;
secondly, determining the correlation among the cutter thrust, the cutter torque and the cutting coefficient of the hard rock tunnel boring machine:
the hard rock tunnel boring machine has a correlation among the cutter head thrust, cutter head torque and cutting coefficient, which is determined by the following formula (2),
in equation (2): CC is the cutting coefficient of the hard rock tunnel boring machine, N is the number of hobs arranged on the cutter head of the hard rock tunnel boring machine, riThe unit is m for the installation radius of the No. i hob installed on a cutterhead of the hard rock tunnel boring machine,
the sum of the installation radius of N hobbing cutters arranged on a cutter head of the hard rock tunnel boring machine is in the unit of m, Tor is the cutter head torque of the hard rock tunnel boring machine and is in the unit of KN.m, the sum is collected in real time by a data acquisition system arranged in equipment of the hard rock tunnel boring machine, Th is the cutter head push of the hard rock tunnel boring machineThe force is measured in KN unit and is acquired in real time by a data acquisition system arranged in the hard rock tunnel boring machine equipment;
in this embodiment, the cutter head of the hard rock tunnel boring machine is provided with 42 hobbing cutters, and the sum of the installation radiuses of the 42 hobbing cutters arranged on the cutter head
The cutterhead torque Tor acquired in real time in the tunneling cycle is 12234.760KN · m, and the cutterhead thrust Th is 15456.636 KN; the cutting coefficient of the hard rock tunnel boring machine in the boring cycle is as follows:
and step three, determining the sliding distance of the ith constant-section disc cutter on the cutter head of the hard rock tunnel boring machine in actual motion:
the sliding distance of the ith constant-section disc cutter on the cutter head of the hard rock tunnel boring machine in actual motion is determined by the following formula (3),
in equation (3): liThe sliding distance of the No. i constant-section disc cutter on the cutter head of the hard rock tunnel boring machine in the actual motion is represented by m, p is the cutting depth of the hard rock tunnel boring machine in mm and RiThe method is characterized in that the method is the installation radius of an ith constant-section disc cutter on a cutter head of the hard rock tunnel boring machine, L is the boring distance of a unit boring cycle of the hard rock tunnel boring machine in mm, CC is the cutting coefficient of the hard rock tunnel boring machine, and mu is the friction coefficient of the hard rock tunnel boring machine for boring geological rock mass;
in the present embodiment, based on the calculation of the second step, in the present driving cycle, p is 11.7mm, CC is 0.4555mm, the driving cycle length L is 0.8m, and the installation radius R of the No. 12 hob installed on the cutter head of the hard rock tunnel boring machine is set to121.022m, and the installation radius R of No. 22 hobbing cutter installed on the cutter head of the hard rock tunnel boring machine22＝1.866m，The rock friction coefficient is 1.8, the sliding distance in the actual movement of the normal section disc cutters No. 12 and No. 12 in the tunneling cycle is as follows:
and fourthly, determining the contact stress acting on the contact arc length when the disc cutter on the constant section of the hard rock tunnel boring machine breaks rock:
the contact stress P acted on the contact arc length when the disc cutter at the constant section of the hard rock tunnel boring machine breaks rock is determined by the following formula (4) with the unit of Mpa,
in equation (4): s is the distance between adjacent cutter positions on the cutter head of the hard rock tunnel boring machine, and the unit is mm and sigmacThe uniaxial compressive strength of geological rock for tunneling is Mpa, sigmatIn order to tunnel the tensile strength of geological rock, the unit is Mpa, b is the width of the cutting edge of the disc cutter with the constant section, the unit is mm, p is the cutting depth of the hard rock tunnel boring machine, the unit is mm, A is the included angle between the rock joint surface and the tunnel axis, the rock joint angle is called as the rock joint angle for short, and the unit is radian rad, JSIs the rock mass joint spacing, with the unit of m, and when the rock mass joint spacing is 400m, the mechanical property of the rock mass is very similar to that of the complete rock, therefore, JSMaximum 400m, representing intact rock;
in this embodiment, according to a schematic diagram of the installation of the disc cutters on the cutter head of the hard rock tunnel boring machine used in the tunnel engineering shown in fig. 1, the cutter spacing between the No. 12 cutter and the adjacent cutter on the cutter head of the hard rock tunnel boring machine is 85mm, and the cutter spacing between the No. 22 cutter and the adjacent cutter is 84 mm; uniaxial compressive strength sigma of tunneling geological rockc62.0Mpa, and the tensile strength sigma of the excavated geological rockt5.0 Mpa; the width b of the cutting edge is 12 mm;the rock mass joint angle alpha is pi/3; joint space JS＝120m。
When the cutter spacing S is 85mm, the contact stress P acting on the contact arc length when the disc cutter on the constant section of the hard rock tunnel boring machine breaks rock is as follows:
when the cutter spacing S is 84mm, the contact stress P acting on the contact arc length when the disc cutter with the constant section breaks the rock of the hard rock tunnel boring machine is as follows:
and fifthly, determining the correlation between the weight abrasion loss and the rock abrasiveness index of any one front single-edge constant-section disc cutter on a cutter head of the hard rock tunnel boring machine in rock excavation of different characteristics, the contact stress acting on the contact arc length when the constant-section disc cutter breaks rock and the sliding distance in actual movement of the constant-section disc cutter:
the correlation between the weight abrasion loss W of any one front single-edge constant-section disc cutter on a cutter head of the hard rock tunnel boring machine, the rock abrasiveness index CAI, the contact stress P acting on the contact arc length when the constant-section disc cutter breaks rock and the sliding distance l in actual movement is determined by the following formula (5),
W＝K·CAIα·Pβ·lγ(5)
in equation (5): w is the weight abrasion loss of any one front single-edge constant-section disc cutter on a cutter head of the hard rock tunnel boring machine, the unit is Kg, CAI is a rock abrasiveness index, the weight abrasion loss is measured through an international rock abrasiveness CAI test, P is the contact stress acting on the contact arc length when the constant-section disc cutter breaks rock, the unit is Mpa, l is the sliding distance in the actual motion of the constant-section disc cutter, the unit is m, alpha, beta and gamma are constants, the weight abrasion loss is obtained through a standard ring block abrasion simulation test method, and K is corrected according to the actual hob-hard rock linear cutting test on the basis of the standard ring block abrasion simulation test data fitting;
in the engineering of the embodiment, the rock abrasiveness index CAI of the geological formation in which the tunneling cycle is located is 2.26 measured by an international rock abrasiveness CAI test; alpha, beta and gamma are constants and can be obtained by an abrasion simulation test method. The hob material in the embodiment is used for manufacturing a cutter sample, the rock material of the engineering typical geology is used for manufacturing the rock sample, 360 groups of standard ring block abrasion simulation tests are carried out on an M-2000 abrasion tester according to the principles that a simulation system is similar to an actual system in geometric configuration, consistent in material property, similar in contact stress and similar in relative motion form, and alpha is 1.93, beta is 2.38 and gamma is 0.95 are obtained according to test results; on the basis of a ring block abrasion simulation test, a linear cutting experiment of an actual hob and an actual rock mass is combined, and a constant K which is 2.69 multiplied by 10 is preliminarily obtained-10；
And sixthly, determining the specific numerical value of the weight abrasion loss of the No. i front single-edge constant-section disc cutter on the cutter head of the hard rock tunnel boring machine during normal boring:
the specific numerical value of the weight abrasion loss of the No. i front single-edge constant-section disc cutter on the cutter head of the hard rock tunnel boring machine during normal boring is determined by the following formula (6),
Wi＝K·CAIa·Pb·li γ(6)
in equation (6): wiThe weight abrasion loss of the No. i front surface single-edge constant-section disc cutter on the cutter head of the hard rock tunnel boring machine is Kg, CAI is rock abrasiveness index, P is contact stress acting on contact arc length when the constant-section disc cutter breaks rock, and Mpa and l are unitsiThe sliding distance of the ith constant-section disc cutter on the cutter head of the hard rock tunnel boring machine in the actual motion is m, and K, alpha, beta and gamma are constants, and the sliding distance is obtained by combining a standard ring block abrasion simulation test and a linear cutting experiment of rock breaking by the cutter;
in this embodiment, the fifth step is to obtain: when the distance S between the cutters is 85mm, P is 289.847 Mpa; when the distance between the blades S is 84mm, P is 288.706Mpa, and the sixth step is as follows: CAI 2.26, k 22.37×10-9α ═ 1.93, β ═ 2.38, and γ ═ 0.95, and l obtained in the fourth step123.535 and l22The weight wear W of the No. 12 front face single-edge constant cross-section disc cutter mounted on the cutter head of the hard rock tunnel boring machine in the boring cycle was calculated by equation (6) as 6.45512Weight abrasion loss W of No. 22 front single-edge constant-section disc cutter arranged on cutter head of hard rock tunnel boring machine22Respectively as follows:
W12＝K·CAIa·Pb·l12 γ＝2.69×10-9×2.261.93×(289.847)2.38×3.1110.95kg＝0.00276kg
W22＝K·Wa·Pb·l22 γ＝2.69×10-9×2.261.93×(288.706)2.38×5.6810.95kg＝0.00485kg
in this embodiment, the results of the above equations (1) to (6) are all obtained by fast calculation by a computer, so as to complete the prediction of the wear of the disc cutter with the constant section of the hard rock tunnel boring machine.
In the engineering of the embodiment, the calculated weight and wear amounts of the No. 12 front single-edge constant cross-section disc cutter and the No. 22 front single-edge constant cross-section disc cutter on the cutter head of the hard rock tunnel boring machine in the typical rock stratum boring process of 16 rings are shown in Table 3
TABLE 3 calculation of the weight and wear of No. 12 and No. 22 front face single-edge constant cross-section disc cutters on the cutter head of a hard rock tunnel boring machine in the process of 16-ring tunneling of typical rock strata
In the above embodiment, the data acquisition system installed inside the hard rock tunnel boring machine equipment, the real-time acquisition method thereof, the rock wear test and the standard ring block wear simulation test methodAnd the linear cutting experiment of rock breaking by hobbing cutters is well known in the technical field, and the uniaxial compressive strength sigma of the excavated geological rockcAnd the tensile strength sigma of the tunneling geological rocktAnd the rock abrasiveness index CAI and the coefficient of friction μ were determined by the test method.
Claims (1)
1. The real-time detection method for the abrasion condition of the disc cutter with the constant section of the hard rock tunnel boring machine is characterized by comprising the following specific steps of:
firstly, determining the correlation among the cutter head rotating speed, the tunneling rate and the cutting depth of the hard rock tunnel boring machine:
the interrelation among the cutter head rotation speed, the tunneling rate and the cutting depth of the hard rock tunnel boring machine is determined by the following formula (1),
in the formula (1), p is the cutting depth of the hard rock tunnel boring machine, namely the boring distance of the hard rock tunnel boring machine when a cutter head rotates for one circle, the unit is mm/r, v is the boring speed of the hard rock tunnel boring machine, the unit is mm/min, n is the cutter head rotating speed of the hard rock tunnel boring machine, the unit is r/min, and the cutter head rotating speed and the boring speed are all boring parameters acquired by a data acquisition system arranged in the hard rock tunnel boring machine in real time;
secondly, determining the correlation among the cutter thrust, the cutter torque and the cutting coefficient of the hard rock tunnel boring machine:
the hard rock tunnel boring machine has a correlation among the cutter head thrust, cutter head torque and cutting coefficient, which is determined by the following formula (2),
in the formula (2), CC is the cutting coefficient of the hard rock tunnel boring machine, N is the number of hobs mounted on the cutter head of the hard rock tunnel boring machine, and r isiIs the installation radius and unit of the No. i hob arranged on the cutter head of the hard rock tunnel boring machineIs the sum of m and m,the method is characterized in that the sum of the installation radiuses of N hobbing cutters arranged on a cutter head of the hard rock tunnel boring machine is in the unit of m, Tor is the cutter head torque of the hard rock tunnel boring machine and is in the unit of KN.m, real-time acquisition is carried out by a data acquisition system arranged inside equipment of the hard rock tunnel boring machine, Th is the cutter head thrust of the hard rock tunnel boring machine, is in the unit of KN, and real-time acquisition is carried out by a data acquisition system arranged inside the equipment of the hard rock tunnel boring machine;
and thirdly, determining the sliding distance of the ith constant-section disc cutter on the cutter head in the unit circulating distance tunneling process of the hard rock tunnel boring machine in the actual motion:
the sliding distance of the hard rock tunnel boring machine in the actual motion of the ith constant-section disc cutter on the cutterhead in a unit boring cycle is determined by the following formula (3),
in equation (3): liThe sliding distance of the hard rock tunnel boring machine in the actual motion of the No. i constant-section disc cutter on a cutterhead in a unit boring cycle is m, p is the cutting depth of the hard rock tunnel boring machine in mm, RiThe method is characterized in that the method is the installation radius of an ith constant-section disc cutter on a cutter head of the hard rock tunnel boring machine, L is the boring distance of a unit boring cycle of the hard rock tunnel boring machine in mm, CC is the cutting coefficient of the hard rock tunnel boring machine, and mu is the friction coefficient of the hard rock tunnel boring machine for boring geological rocks;
and fourthly, determining the contact stress acting on the contact arc length when the disc cutter on the constant section of the hard rock tunnel boring machine breaks rock:
the contact stress P acted on the contact arc length when the disc cutter at the constant section of the hard rock tunnel boring machine breaks rock is determined by the following formula (4) with the unit of Mpa,
in equation (4): s is the distance between adjacent cutter positions on the cutter head of the hard rock tunnel boring machine, and the unit is mm and sigmacThe uniaxial compressive strength of geological rock for tunneling is Mpa, sigmatThe tensile strength of geological rock is tunneled in Mpa, b is the width of a blade of a disc cutter with a constant section, p is the cutting depth of a hard rock tunnel boring machine in mm, A is the included angle between a rock mass joint plane and the axis of a tunnel, called a rock mass joint angle for short, and J is radian radSIs the rock mass joint spacing, with the unit of m, and when the rock mass joint spacing is 400m, the mechanical property of the rock mass is very similar to that of the complete rock, therefore, JSMaximum 400m, representing intact rock;
and fifthly, determining the correlation between the weight abrasion loss and the rock abrasiveness index of any one front single-edge constant-section disc cutter on a cutter head of the hard rock tunnel boring machine in rock excavation of different characteristics, the contact stress acting on the contact arc length when the constant-section disc cutter breaks rock and the sliding distance in actual movement of the constant-section disc cutter:
weight abrasion loss W of any one front single-edge constant-section disc cutter on cutter head of hard rock tunnel boring machineiThe correlation between the rock abrasiveness index CAI and the contact stress P acting on the contact arc length when the constant-section disc cutter breaks rock and the sliding distance l in actual movement thereof is determined by the following formula (5),
W＝K·CAIα·Pβ·lγ(5)，
in equation (5): w is the weight abrasion loss of any one front single-edge constant-section disc cutter on a cutter head of the hard rock tunnel boring machine, the unit is Kg, CAI is a rock abrasiveness index, the weight abrasion loss is measured through an international rock abrasiveness CAI test, P is the contact stress acting on the contact arc length when the constant-section disc cutter breaks rock, the unit is Mpa, l is the sliding distance in the actual motion of the constant-section disc cutter, the unit is m, alpha, beta and gamma are constants, the weight abrasion loss is obtained through a standard ring block abrasion simulation test method, and K is corrected according to the actual hob-hard rock linear cutting test on the basis of the standard ring block abrasion simulation test data fitting;
and sixthly, determining the specific numerical value of the weight abrasion loss of the No. i front single-edge constant-section disc cutter on the cutter head of the hard rock tunnel boring machine during normal boring:
the specific numerical value of the weight abrasion loss of the No. i front single-edge constant-section disc cutter on the cutter head of the hard rock tunnel boring machine during normal boring is determined by the following formula (6),
Wi＝K·CAIa·Pb·li γ(6)，
in equation (6): wiThe weight abrasion loss of the No. i front surface single-edge constant-section disc cutter on the cutter head of the hard rock tunnel boring machine is Kg, CAI is rock abrasiveness index, P is contact stress acting on contact arc length when the constant-section disc cutter breaks rock, and Mpa and l are unitsiThe sliding distance is the sliding distance in the actual motion of the No. i constant-section disc cutter on the cutter head of the hard rock tunnel boring machine, the unit is m, K, alpha, beta and gamma are constants, the sliding distance is obtained by means of a standard ring block abrasion simulation test and by combining a linear cutting experiment of actual rock breaking of the disc cutter, and data fitting analysis is utilized;
the cutting depth p of the hard rock tunnel boring machine in the formula (1), the cutting coefficient CC of the hard rock tunnel boring machine in the formula (2), and the sliding distance l in the actual motion of the No. i constant-section disc cutter on the cutter head of the hard rock tunnel boring machine in the formula (3)iThe contact stress P acting on the contact arc length when the constant-section disc cutter of the hard rock tunnel boring machine in the formula (4) breaks rock, the weight abrasion loss W of any one front single-edge constant-section disc cutter on the hard rock tunnel boring machine cutter head in the formula (5) and the weight abrasion loss W of the No. i front single-edge constant-section disc cutter on the hard rock tunnel boring machine cutter head in the formula (6)iThe method is characterized in that tunneling parameters including a cutterhead rotating speed n, a tunneling speed v, a cutterhead torque Tor and a cutterhead thrust Th acquired by a data acquisition system of a tunnel boring machine in real time, and rock parameters including a rock joint angle alpha and a rock joint distance J acquired by engineering geological surveySUniaxial compressive strength sigma of tunneling geological rockcAnd tensile strength sigma of the excavated geological rocktRock abrasiveness index CAI obtained by rock abrasion test, and frictional wear simulation test, linear cuttingThe friction coefficient mu and the constant values K, alpha, beta and gamma of the rock obtained by the experiment are all obtained by fast calculation through a computer, so that the real-time detection of the abrasion of the disc cutter on the constant section of the hard rock tunnel boring machine is completed.
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| CN110120067B (en) * | 2019-05-08 | 2021-03-30 | 中国科学院武汉岩土力学研究所 | Method and device for determining wear volume of natural rock structural surface and computer equipment |
| CN111737901A (en) * | 2020-06-23 | 2020-10-02 | 石家庄铁道大学 | Cutter fatigue life prediction method and application thereof |
| CN112431605B (en) * | 2020-11-23 | 2022-10-04 | 长安大学 | Corrugated rock tunnel boring machine cutter head with free surface for assisting in rock breaking and preparation method thereof |
| CN113268806B (en) * | 2021-06-25 | 2024-02-06 | 华北电力大学 | Cutter spacing optimization method for cutter head hob of hard rock tunnel boring machine and cutter head thereof |
| CN113586028B (en) * | 2021-07-21 | 2024-03-29 | 太原理工大学 | Intelligent monitoring system of counter bore cutter head of anti-well drilling machine based on digital twin |
| CN114091544A (en) * | 2021-11-29 | 2022-02-25 | 西南交通大学 | TBM disc cutter abrasion identification system based on vibration signal and neural network |
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