The laser beam machine 1 comprises a operating panel 2 receiving an input of various information by a user. The user manipulates the operating panel 2 to input machining conditions such as a material or a thickness of the work 50 and the like to the laser beam machine 1. The laser beam machine 1 is provided with the nozzle 4 at a tip of a machining head 6, for outputting a laser beam, and provided with a guard electrode 5 around the nozzle 4 with an insulating material interposed therebetween. The laser beam machine 1 is further provided with a machine controller 3 for moving the machining head 6. The laser beam machine 1 machines the work 50 with the laser beam outputted from the nozzle 4 while moving the machining head 6 by the machine controller 3.
As shown in
The other end of the reference resistance Rref is connected to a center electrode 40 in the laser beam machine 1 with the center electrode cable 26. In this preferred embodiment, the nozzle 4 serves as the center electrode 40. The center electrode 40 and the work 50 serves as a capacitor, forming gap static capacitance Cg which depends on the gap d. Therefore, when the gap d varies, the gap static capacitance Cg varies. The signal processing portion 24 of the gap detection device body 21 obtains the gap static capacitance Cg and further obtains the gap d from the obtained gap static capacitance Cg. In this preferred embodiment, though the nozzle 4 serves as the center electrode 40, the center electrode 40 whose distance from the work 50 varies in accordance with the gap d may be provided near the nozzle 4 to face the work 50, separately from the nozzle 4.
In this case, if the laser beam machining is performed with the nozzle 4 and the work 50 moved relatively, there occurs plasma between the nozzle 4 and the work 50 in accordance with the machining conditions. This plasma so acts as to form an impedance Zp between the center electrode 40 and the work 50. In other words, between the center electrode 40 and the work 50, the impedance Zp Thereinafter, referred to as “plasma impedance Zp”) depending on this plasma is formed. Therefore, it can be thought that during the laser beam machining, between the center electrode 40 and the work 50, the gap static capacitance Cg and the plasma impedance Zp which are connected in parallel to each other should be formed and the reference resistance Rref is electrically connected to a composite impedance Z of the gap static capacitance Cg and the plasma impedance Zp. Since the work 50 is grounded during the laser beam machining, the reference resistance Rref and the composite impedance Z are electrically connected in series to each other between the output terminal of the signal generation portion 22 and a ground voltage. Therefore, the input signal Vin, being divided, is inputted to the buffer circuit 23 which is connected to the other end of the reference resistance Rref and a divided voltage signal of the input signal Vin is outputted from the buffer circuit 23.
The guard electrode cable 27 is connected to the guard electrode 5 in the laser beam machine 1. The output terminal of the buffer circuit 23 is connected to the guard electrode cable 27. Therefore, the voltage of the center electrode cable 26 and that of the guard electrode cable 27 are almost equal to each other. In this preferred embodiment, the center electrode cable 26 and the guard electrode cable 27 constitute a concentric cable 25, and the center conductor of the concentric cable 25 is the center electrode cable 26 and an outer conductor surrounding the center conductor is the guard electrode cable 27. Accordingly, voltages of the center conductor and the outer conductor of the concentric cable 25 are almost equal. It is therefore possible to reduce the effect of stray capacitance in the cable connecting the gap detection device body 21 and the laser beam machine 1 on detection of the gap d.
Next, a method of detecting the gap d by the signal processing portion 24 will be discussed in detail.
Next in Step s2, the signal processing portion 24 obtains a composite admittance Z−1 which is the reciprocal of the composite impedance Z from the transfer function F(s) which is obtained in Step s1. In other words, the signal processing portion 24 serves as a composite admittance acquisition portion for obtaining the composite admittance Z−1. Also in this step, it is not necessary to obtain the composite admittance Z−1 in all the frequency areas but the composite admittance Z−1 in at least one frequency has to be obtained.
Herein, assuming that a system from the output of the signal generation portion 22 to the output of the buffer circuit 23 is regarded as an electric circuit, the transfer function F(s) from the input signal Vin to the output signal Vout is expressed by using a mathematical model of the following equation (1):
In the equation (1), reference signs A(s) and X(s) are parameters which depend on the kinds of the buffer circuit 23 and the concentric cable 25 which are actually used and the characteristics of a substrate on which the reference resistance Rref and the buffer circuit 23 are formed. Reference signs Vin(s), Vout(s) and Z(s) represent the input signal Vin, the output signal Vout and the composite impedance Z, respectively. In this preferred embodiment, the values of the parameters A(s) and X(s) are stored in the signal processing portion 24 in advance. As to the values of these parameters A(s) and X(s), only the values in the frequency which is actually used have to be obtained, like the transfer function F(s) obtained in Step s1.
In the above equation (1), both the composite impedance Z(s) and the parameter X(s) are present as a form of reciprocal. As will be clear from the following discussion, 10 handling the composite impedance Z(s) and the parameter X(s) as a form of reciprocal has various advantages and some conveniences. This is the reason why the composite admittance Z(s)−1 which is the reciprocal of the composite impedance Z(s) is obtained in Step s2.
By substituting jω into s in the equation (1), the following equation (2) will be obtained:
Then, in order to obtain the composite admittance Z(jω)−1 in the frequency from the frequency transfer function F(jω), the equation (2) is transformed as follows:
In Step s2, the signal processing portion 24 obtains the composite admittance Z(jω)−1 by substituting the value of the frequency transfer function F(jω) which is obtained in Step s1, the values of the parameters A(jω) and X(jω) and the value of the reference resistance Rref into the equation (3). The value of the reference resistance Rref is stored in the signal processing portion 24 in advance.
Next in Step s3, the signal processing portion 24 obtains the gap static capacitance Cg from the composite admittance Z(jω)−1 which is obtained in Step s2. Before discussing the operation of Step s3, the characteristics of plasma generated during the laser beam machining will be discussed.
The composite admittance Z(jω)−1 can be expressed as the following equation (4) by using the gap static capacitance Cg and a plasma admittance Zp(jω)−1 which is the reciprocal of the plasma impedance Zp(jω):
Z(jω)−1=Zp(jω)−1÷jωCg (Eq. 4)
Since the plasma admittance Zp(jω) can be thought as the composite impedance in a circuit in which the resistance component Rp and the static capacitance component Cp are connected in parallel to each other, the equation (4) can be transformed to the following equation (5):
Assuming that Rp=R and Cg+Cp=C, the equation (5) can be transformed to the following equation (6):
where 1/R is a real part and ωC is an imaginary part.
Thus, the composite admittance Z(jω)−1 can be thought as the reciprocal of the composite impedance in the circuit in which a resistance element having a resistance value R and a capacitor having capacitance C are connected in parallel to each other.
Since the composite admittance Z(jω)−1 which is obtained in Step s2 is a complex number, as expressed by the equation (6), it can be separated into a real part R−1 and an imaginary part ωC. Then, by plotting the composite admittance Z(jω)−1 which is obtained in Step s2 in a R−1-C plane where the horizontal axis represents the real part R−1 and the vertical axis represents a value C obtained by dividing the imaginary part ωC by the angular frequency ω, the characteristics of the plasma generated during the laser beam machining can be analyzed. Also by plotting the composite admittance Z(jω)−1 in a complex plane where the horizontal axis is a real axis and the vertical axis is an imaginary axis, the characteristics of the plasma generated during the laser beam machining can be analyzed.
From the solid line 100 and the broken line 101 of
As indicated by the solid line 100, as the machining speed increases, in other words, as the intensity of the plasma which is generated increases, both the value of 1/R and the value of C increase and the characteristic of the composite admittance Z(jω)−1 shown in the R−1-C plane varies almost linearly with slight inclination.
The denominator and the numerator on the left side in the equation (7) represent an increment of 1/R and that of C, respectively, and k on the right side represents the inclination of the characteristic of the composite admittance Z(jω)−1 shown in
The equation (8) is a model equation representing the characteristics of the plasma admittance Zp(jω)−1, in other words, a model equation representing a relation between the resistance component Rp and the static capacitance component Cp which are included in the plasma impedance Zp(jω). In Step s3, the static capacitance component Cg is obtained by using the model equation. The value of the parameter k is stored in the signal processing portion 24 in advance. As the result of analysis, in machining the work 50 with the laser beam having a frequency of 1 MHz, the value of k ranges from 10−9 ΩF to 10−8 ΩF. The value of the parameter k used in Step s3 is set not smaller than 10−9 ΩF and not larger than 10−8 ΩF.
Next in Step s33, the signal processing portion 24 obtains composite static capacitance Cc(=Cg+Cp) which is the sum of the gap static capacitance Cg and the static capacitance component Cp from the imaginary part of the composite admittance Z(jω)−1. Then, in Step s34, the signal processing portion 24 obtains the gap static capacitance Cg by subtracting the static capacitance component Cp from the composite static capacitance Cc.
Thus, the signal processing portion 24 serves as a resistance component acquisition portion for obtaining the resistance component Rp and also serves as a static capacitance component acquisition portion for obtaining the static capacitance component Cp. The signal processing portion 24 further serves as a composite static capacitance acquisition portion for obtaining the composite static capacitance Cc and also serves as a gap static capacitance acquisition portion for obtaining the gap static capacitance Cg.
In this preferred embodiment, though the model equation (8) is used as a model representing the characteristics of the plasma admittance Z(jω)−1, a look-up table showing a correspondence between the resistance component Rp and the static capacitance component Cp which are acquired by an experiment in advance may be used. In this case, the signal processing portion 24 stores the look-up table in advance and acquires the static capacitance component Cp corresponding to the resistance component Rp which is obtained in Step s31 from the look-up table.
Referring to
The detection gap signal Vd outputted from the signal processing portion 24 is inputted to the machine controller 3 of the laser beam machine 1 through a not-shown cable. The machine controller 3 controls the machining head 6 on the basis of the detection gap signal Vd so that the gap d between the nozzle 4 and the work 50 should be an appropriate value.
Thus, in the first preferred embodiment, in consideration of not only the resistance component Rp included in the plasma impedance Zp but also the static capacitance component Cp included therein, the gap d between the nozzle 4 and the work 50 is obtained.
On the other hand, since the above-discussed technique of Japanese Patent Application Laid-Open No. 2000-234903 considers only the resistance component Rp, the static capacitance component Cp is included in the gap static capacitance Cg which is obtained. For this reason, the effect of the plasma generated during the laser beam machining on detection of the gap d can not be sufficiently eliminated and the gap d can not be detected with high accuracy.
In the first preferred embodiment, since the gap d is obtained also in consideration of the static capacitance component Cp, the effect of the plasma generated during the laser beam machining on detection of the gap d can be suppressed. It is therefore possible to detect the gap d with high accuracy.
Further, in the first preferred embodiment, the model equation (8) is used as a model representing the relation between the resistance component Rp and the static capacitance component Cp. Since this model equation simply and accurately expresses the relation between the resistance component Rp and the static capacitance component Cp, it is possible to easily and accurately obtain the static capacitance component Cp. Further, the function to obtain the static capacitance component Cp can be easily contained in the gap detection device 20.
Furthermore, as discussed above, also by using the look-up table representing the correspondence between the resistance component Rp and the static capacitance component Cp as a model representing the relation between the resistance component Rp and the static capacitance component Cp, the static capacitance component Cp can be easily and accurately obtained and the function to obtain the static capacitance component Cp can be easily contained in the gap detection device 20.
In the first preferred embodiment, the composite admittance Z(jω)−1 is obtained by using the frequency transfer function F(jω) expressed by the equation (2). Since the frequency transfer function F(jω) of the equation (2) simply and accurately expresses the transfer function from the input signal Vin to the output signal Vout, it is possible to easily and accurately obtain the composite admittance Z(jω)−1. Further, the function to obtain the composite admittance Z(jω)−1 can be easily contained in the gap detection device 20.
The input portion 30 has an operation portion including e.g., an operation button and the like, and a user can input a value of the parameter k to the gap detection device body 21 by manipulating the operation portion. The value of the parameter k inputted to the input portion 30 is inputted to the signal processing portion 24. The signal processing portion 24 replaces the value of the parameter k which is stored in advance with the inputted value and uses the inputted value in the following detection of the gap d. Since other constituent elements are identical to those of the gap detection device 20 of the first preferred embodiment, description thereof will be omitted.
In general, the characteristics of the plasma generated during the laser beam machining depend on the machining conditions such as the value of the gap d set in the laser beam machine 1, the material and thickness of the work 50 and machining gas which is actually used. Therefore, depending on the machining conditions, the characteristic of the plasma admittance Zp−1 shown in
Though the value of the parameter k is directly inputted to the gap detection device 20 from the outside in the second preferred embodiment, the value of the parameter k may be inputted from the laser beam machine 1 to the gap detection device 20.
Thus, by inputting a value of the parameter k to the gap detection device 20 from the side of the laser beam machine 1, it becomes easier to input the value of the parameter k in accordance with the machining conditions.
Though the value of the parameter k is inputted by the user in the above-discussed case, the machine controller 3 may automatically determine a value of the parameter k on the basis of the machining conditions inputted through the operating panel 2. By storing a look-up table representing the correspondence between the machining condition and the parameter k in the machine controller 3 in advance, the machine controller 3 can determine a value of the parameter k in accordance with an inputted machining condition.
The jumper pin 31 can cause a short circuit at both ends of the reference resistance Rref. When the jumper block 32 is attached to the jumper pin 31, a short circuit is caused at both the ends of the reference resistance Rref. Then, the input signal Vin is directly inputted to the buffer circuit 23. Accordingly, the output signal Vout of the buffer circuit 23 is equal to the input signal Vin and the signal processing portion 24 can directly observe the input signal Vin. Since other constituent elements are identical to those of the first preferred embodiment, description thereof will be omitted.
Though the input signal Vin is originally known, sometimes there arises variation in the input signal Vin among a plurality of gap detection devices 20. When the signal generation portion 22 is formed of an analog element, particularly, it is likely to cause variation in the input signal Vin due to individual differences in characteristics of the analog elements.
Since the gap detection device 20 of the third preferred embodiment is provided with the jumper pin 31 which can cause a short circuit at both ends of the reference resistance Rref, the signal processing portion 24 can directly observe the input signal Vin. Therefore, even if there is variation in the input signal Vin, it is possible to store accurate information on the input signal Vin in the signal processing portion 24. Further, using the observation result on the input signal Vin by the signal processing portion 24 allows an easy adjustment of the gap detection device 20 at factory shipment.
The machine controller 3 of the fourth preferred embodiment is brought into a calibration mode when it receives notification of calibration to be performed, from a user every a predetermined time or through the operating panel 2. The machine controller 3 in the calibration mode outputs a calibration signal CB to the gap detection device body 21 as shown in
When the calibration signal CB is inputted to the gap detection device 20, the signal processing portion 24 acquires the gap static capacitance Cg in accordance with the value of the gap d which is notified by the machine controller 3 in Step s52. Since the signal processing portion 24 stores the look-up table representing the correspondence between the gap d and the gap static capacitance Cg as discussed above, by referring to the look-up table, the gap static capacitance Cg corresponding to the gap d which is set in Step s51 can be acquired.
Next in Step s53, the signal processing portion 24 observes the output signal Vout and obtains the frequency transfer function F(jω) from the input signal Vin to the output signal Vout, like in Step s1. The signal processing portion 24 further obtains the composite admittance Z(jω)−1 by using the above equation (5). In the calibration mode, since the nozzle 4 outputs no laser beam, there is no plasma generated between the nozzle 4 and the work 50. Therefore, it can be thought that the resistance component Rp is infinite and the static capacitance component Cp is zero. Accordingly, the composite admittance Z(jω)−1 in the calibration mode is equal to jωCg. The signal processing portion 24 substitutes zero into Rp−1 and Cp and the acquired value into Cg in the equation (5), to obtain the composite admittance Z(jω)−1. Then, the signal processing portion 24 stores the value of the frequency transfer function F(jω) and the value of the composite admittance Z(jω)−1 which are obtained, in pairs.
Next in Step s54, the signal processing portion 24 judges if a predetermined pairs of the values of F(jω) and Z(jω)−1 are obtained. If it is judged in Step s54 that a predetermined pairs of the values of F(jω) and Z(jω)−1 are obtained, Step s55 is executed.
On the other hand, if it is judged in Step s54 that a predetermined pairs of the values of F(jω) and Z(jω)−1 are not obtained, the signal processing portion 24 notifies the machine controller 3 of that. When the machine controller 3 receives the notification, the machine controller 3 executes the Step s51 again. In this Step s51, the gap d is set at a value different from the value set in the previously-executed Step s51. Then, the machine controller 3 notifies the gap detection device 20 of the newly-set value of the gap d. After that, the signal processing portion 24 in the gap detection device 20 executes Step s52 again, to acquire the gap static capacitance Cg in accordance with the newly-set value of the gap do Then, the signal processing portion 24 executes Step s53 again, to obtain a new pair of the values of F(jω) and Z(jω)−1.
In Step s55, the signal processing portion 24 substitutes the values of F(jω) and Z(jω)−1 which are obtained in Step s53 into the above equation (2) for every pair. With this operation, a plurality of equations (2), into which different pairs of values of F(jω) and Z(jω)−1 are substituted and which each include unknown A(jω) and X(jω)−1, are obtained. Then, in Step s56, the signal processing portion 24 uses a plurality of equations (2) obtained in Step s55 as simultaneous equations and obtains values of A(jω) and X(jω)−1 from the simultaneous equations, for example, by using the least squares method. In this case, in order to obtain two unknown values of A(jω) and X(jω)−1, the simultaneous equations have to include at least two equations (2). Therefore, in Step s53, at least two pairs of values of F(jω) and Z(jω)−1 have to be obtained.
After the values of A(jω) and X(jω)−1 are obtained, the signal processing portion 24 notifies the machine controller 3 of that, and this puts an end to the calibration mode. In detecting the gap d, the signal processing portion 24 uses the values of A(jω) and X(jω)−1 which are obtained in the calibration mode, for the above-discussed operation in Step s2.
Thus, since the gap detection device 20 of the fourth preferred embodiment updates the values of parameters A(jω) and X(jω) when the calibration signal CB is inputted, it is possible to surely suppress the effect of the plasma generated during the laser beam machining on detection of the gap d even if there is a change in temperature or variation with time in the system, and it is therefore possible to detect the gap d with high accuracy.
The parameters Vin(jω) and A(jω) may be regarded as one parameter B(jω). In such a case, the above equation (1) is transformed as follows:
The signal processing portion 24 acquires a plurality of pairs of values of the output signal Vout(jω) and the composite admittance Z(jω)−1, instead of acquiring a plurality of pairs of values of F(jω) and Z(jω)−1, in the calibration mode. Then, the signal processing portion 24 uses the above equation (9) to obtain the values of B(jω) and X(jω)−1. When the calibration mode is ended, the signal processing portion 24 uses the obtained values of B(jω) and X(jω)−1 and the equation (9), to obtain the composite admittance Z(jω)−1.
Thus, since the composite admittance Z(jω)−1 is obtained by using the equation (9), the information on the input signal Vin is not needed. By updating the values of the parameters B(jω) and X(jω), the composite admittance Z(jω)−1 can be obtained accurately even if the input signal Vin varies, and the gap d can be detected with high accuracy. Further, even if there is a change in temperature or variation with time in the system, it is possible to surely suppress the effect of the plasma generated during the laser beam machining on detection of the gap d and detect the gap d with high accuracy.
In the fifth preferred embodiment, one exemplary method of obtaining the frequency transfer function F(jω) in Step s1 will be discussed. In the fifth preferred embodiment, the frequency transfer function F(jω) is obtained by using a time-series model equation representing a relation between the input signal Vin and the output signal Vout. The detailed discussion will be made below.
In the fifth preferred embodiment, an input signal Vin of trigonometric function wave is used and its frequency is assumed to be f(Hz). The signal processing portion 24 samples the output signal Vout with the quadruple of the frequency f of the input signal Vin, i.e., 4 f. One of advantages of such quadruple-oversampling is that the frequency transfer function F(jω) can be obtained easily from the time-series data when the input signal Vin of trigonometric function wave is in a stationary state.
Assuming that the k-th sampling data u of the input signal Vin is uk and the k-th sampling data y of the output signal Vout is yk, when the system is in a stationary state, the time-series model equation representing the relation between the input signal Vin and the output signal Vout is expressed by the equation (10) using time-series data:
y
k
=a
0
u
k
+a
1
u
k-1 (Eq. 10)
By using coefficients a0 and a1 of the equation (10), the frequency transfer function F(jω) is expressed as the following equation (11):
F(jω)=a0−ja1 (Eq. 11)
where ω=2πf.
In the signal processing portion 24, the sampling data u of the input signal Vin which is obtained by sampling the input signal Vin with the sampling frequency of 4 f is stored in advance. As a method of acquiring the sampling data u of the input signal Vin, for example, the above-discussed gap detection device 20 shown in
The signal processing portion 24 samples the output signal Vout with the sampling frequency of 4 f to obtain the sampling data y of the output signal Vout in Step s1. Then, the signal processing portion 24 substitutes the stored sampling data uk and uk-1 and the acquired sampling data yk into the equation (10), to acquire the equation (10) with the coefficients a0 and a1 as unknowns. The signal processing portion 24 uses at least three sampling data u and at least two sampling data y to prepare at least two equations (10) with the coefficients a0 and a1 as unknowns, and uses the simultaneous equations consisting of at least two equations (10) to obtain values of the coefficients a0 and a1. The values of the coefficients a0 and a1 can be obtained by using, for example, the least squares method. After the values of the coefficients a0 and a1 are obtained, the signal processing portion 24 substitutes these values into the equation (11) to obtain the frequency transfer function F(jω).
Assuming that there is an offset between the input signal Vin and the output signal Vout, however, the following equation (12) which includes a coefficient c, instead of the equation (10), may be used.
y
k
=a
0
u
k
+a
1
u
k-1
+C (Eq. 12)
In this case, by using at least four sampling data u and at least three sampling data y, at least three equations (10) with the coefficients a0 and a1 as unknowns are prepared, and by using the simultaneous equations consisting of at least three equations (10), the values of the coefficients a0 and a1 are obtained.
Thus, in the fifth preferred embodiment, since the frequency transfer function F(jω) is obtained by using the time-series model equation representing the relation between the input signal Vin and the output signal Vout, it is possible to easily obtain the frequency transfer function F(jω). In other words, the above-discussed operation of Step s1 can be easily performed by the gap detection device 20.
In the sixth preferred embodiment, one exemplary method of obtaining the gap d in Step s4 will be discussed. In the sixth preferred embodiment, the gap d is obtained from the gap static capacitance Cg by using an exponential function model representing a relation between the gap d and the gap static capacitance Cg.
The signal processing portion 24 stores the exponential function equation representing the relation between the gap static capacitance Cg and the gap d or a look-up table representing the correspondence between the gap static capacitance Cg and the gap d in approximation of exponential function. The signal processing portion 24 uses the exponential function equation or the look-up table in Step s4, to obtain the gap d from the gap static capacitance Cg.
As can be seen from the graph of
Thus, in the sixth preferred embodiment, since the gap d is obtained from the gap static capacitance Cg by using the exponential function model representing the relation between the gap d and the gap static capacitance Cg, it is possible to easily obtain the gap d. In other words, the operation of Step s4 can be easily performed by the gap detection device 20.
As discussed in the first preferred embodiment, since the relation between the gap static capacitance Cg and the gap d depends on the shape of the machining head 6, the shape of the nozzle 4 or the like, when the relation can not sufficiently approximate to the exponential function, it may approximate to a polynomial. Alternatively, there may be a case where the range of the gap static capacitance Cg is divided into a plurality of sections and the plurality of sections may approximate differently. Further, like in the first preferred embodiment, the look-up table which directly represents the correspondence between the gap static capacitance Cg and the gap d may be used, instead of approximation.
While the invention has been shown and described in detail, the foregoing description is in all aspects illustrative and not restrictive. It is therefore understood that numerous modifications and variations can be devised without departing from the scope of the invention.
Number | Date | Country | Kind |
---|---|---|---|
2006-163185 | Jun 2006 | JP | national |