CN108716987B - Method and system for measuring load distribution of cutting edge of dry cutting serrated knife - Google Patents

Method and system for measuring load distribution of cutting edge of dry cutting serrated knife Download PDF

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CN108716987B
CN108716987B CN201810491697.5A CN201810491697A CN108716987B CN 108716987 B CN108716987 B CN 108716987B CN 201810491697 A CN201810491697 A CN 201810491697A CN 108716987 B CN108716987 B CN 108716987B
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cutting
cutting edge
iron block
load distribution
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CN108716987A (en
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吴晓强
王利华
张春友
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Inner Mongolia University for Nationlities
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Abstract

The invention belongs to the technical field of load distribution measurement, and discloses a method and a system for measuring load distribution of a cutting edge of a dry cutting and slicing serrated knife. An I-shaped iron block is fixed in the middle of the supporting platform through two I-shaped iron block fixing bolts, two induction pieces are welded on the two sides of the front of the I-shaped iron block, a signal output port is welded on the side face of the I-shaped iron block, and the signal output port is connected with the two induction pieces. The supporting platform is fixed with a testing platform through four supporting platform fixing bolts, a cutting groove is formed in the middle of the testing platform, and damping springs are sleeved on the four supporting platform fixing bolts. The measuring device for the blade cutting force load distribution converts the extrusion deformation of an object into different electric signals, thereby indirectly calculating the size and the distribution of the blade load.

Description

Method and system for measuring load distribution of cutting edge of dry cutting serrated knife
Technical Field
The invention belongs to the technical field of load measurement, and particularly relates to a method and a system for measuring the load distribution of a cutting edge of a dry cutting serrated knife.
Background
The load test is an essential link of the production and development of the instrument and the tool, and the load test aims to verify whether the designed product meets the actual working requirement. The tester needs to accurately measure how the tool surface or internal load is distributed according to the actual production requirement, so that the designer can reasonably design the product. At present, a load measurement test of the cutting edge is lacked after the cutting edge is produced, so that a designer cannot obtain the real stress condition and load distribution of the cutting edge in actual production application, and the design improvement of a product at a later stage is lacked with accurate data.
In summary, the problems of the prior art are as follows: the lack of relevant cutting load tests on the blade does not provide good data support for later product improvements.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a measuring device for the load distribution of a cutting edge of a dry cutting serrated knife.
The invention is realized in such a way that a measuring device for the load distribution of the cutting edge of a dry cutting and slicing serrated knife is provided, wherein supporting bases are arranged on two sides of the measuring device for the load distribution of the cutting edge, and supporting platforms are fixed on the supporting bases on the two sides through four base fixing bolts. An I-shaped iron block is fixed in the middle of the supporting platform through two I-shaped iron block fixing bolts, two induction pieces are welded on the two sides of the front of the I-shaped iron block, a signal output port is welded on the side face of the I-shaped iron block, and the signal output port is connected with the two induction pieces. The supporting platform is fixed with a testing platform through four supporting platform fixing bolts, a cutting groove is formed in the middle of the testing platform, and damping springs are sleeved on the four supporting platform fixing bolts.
Another object of the present invention is to provide a method for measuring a load distribution of a cutting edge of a dry cutting serrated knife, including: cutting simulation actions are carried out on the surface of the platform and in the cutting groove by using a cutting edge on a test platform, the test platform is subjected to pressure to generate extrusion deformation, an I-shaped iron block fixed below the test platform is driven to generate the same extrusion deformation, different electric signals are generated by sensing pieces on the I-shaped iron block due to different extrusion deformation degrees of the left side and the right side of the I-shaped iron block and are output through a signal output port and transmitted to an upper computer, and the distribution condition of cutting loads of the cutting edge can be calculated through signal simulation calculation;
the expression of the extrusion deformation time-frequency overlapping signal received by the upper computer is as follows:
y(t)＝x1(t)+x2(t)+…xp(t)+n(t)；
wherein xi(t) represents the ith component squeeze-deformation signal, p is the number of the component squeeze-deformation signals, n (t) represents the Gaussian noise squeeze-deformation signal, y (t) represents the received time-frequency overlap squeeze-deformation signal, and the expression of the third-order cumulant is as follows:
C3y(τ1,τ2)＝E[y(t)y(t+τ1)y(t+τ2)]；
wherein, tau1，τ2Two different time delays; by the nature of the third-order cumulant, the third-order cumulant of the Gaussian noise is constantly equal to zero, and the above formula is expressed as:
Figure BDA0001668064140000022
order to
Figure BDA0001668064140000023
I.e. C3y(τ1,τ2)＝C3x(τ1,τ2)；
To C3y(τ1,τ2) Performing secondary Fourier transform to obtain bispectrum B of time-frequency overlapped extrusion deformation signal3y(ω1,ω2)：
B3y(ω1,ω2)＝B3x(ω1,ω2)＝X(ω1)X(ω2)X*(ω1+ω2)；
Wherein, ω is1，ω2Two different frequencies;
the extrusion deformation signal model of the upper computer time-frequency overlapping MASK is expressed as follows:
Figure BDA0001668064140000021
wherein N is the number of signal components of the time-frequency overlapped extrusion deformation signal, N (t) is additive white Gaussian noise, si(t) is the signal component of the time-frequency superimposed signal, expressed as
Figure BDA0001668064140000031
In the formula AiRepresenting the amplitude of the component of the crush-deformation signal, ai(m) symbol symbols representing signal components, p (T) a shaping filter function, TiSymbol period, f, representing a component of the squeeze distortion signalciThe carrier frequency of the component of the crush deformation signal,
Figure BDA0001668064140000032
a phase representing a component of the crush deformation signal; the diagonal slice spectrum of the cyclic bispectrum of the MASK signal is represented as:
Figure BDA0001668064140000033
where y (t) represents the MASK signal, α is the cycle frequency of y (t), fcRepresents a carrier frequency of the squeeze-distortion signal, T is a symbol period of the squeeze-distortion signal, k is an integer,
Figure BDA0001668064140000034
Ca,3represents the third order cumulant of the random sequence a, δ () is an impulse function, p (f) is a shaped pulse function, and the expression is:
Figure BDA0001668064140000035
taking a section f of the diagonal slice spectrum of the cycle bispectrum to be 0 to obtain:
Figure BDA0001668064140000036
for the MASK signal, f of a diagonal slice spectrum of a cyclic bispectrum is equal to 0 section, a peak value exists at the section, and carrier frequency information of the extrusion deformation signal is carried; because the diagonal slice spectrum of the cyclic bispectrum satisfies the linear superposition, the expression of the diagonal slice spectrum of the cyclic bispectrum of the time-frequency overlapped MASK signal is as follows:
Figure BDA0001668064140000037
wherein the content of the first and second substances,
Figure BDA0001668064140000038
is a constant, related to the modulation of the ith squeeze distortion signal component, TiIs the symbol period of the ith squeeze-distortion signal component.
Further, the method for converting the distribution value of the cutting load of the blade comprises the following steps:
Figure BDA0001668064140000039
y represents the converted result; m1Conversion of transmitter output to full range time analog-to-digital converterA value; m0Outputting the conversion value of the analog-to-digital converter when the output is zero; moutThe conversion value of the analog/digital converter at a certain sampling; s1An upper limit of the measurement parameter; s0The lower limit of the measured parameter.
Further, the distribution condition that the host computer calculated cutting load of cutting edge through signal simulation includes: load to be borne:
Figure BDA0001668064140000041
Figure BDA0001668064140000042
P0＝T0/(k0·d0) (3)
the heat flux density flowing into the cutting edge from the front cutter face and the rear cutter face in unit time and unit area respectively is as follows:
Figure BDA0001668064140000043
Figure BDA0001668064140000044
the invention has the advantages and positive effects that: the measuring device for the load distribution of the cutting edge converts the extrusion deformation of an object into different electric signals, so that the size and the distribution of the load of the cutting edge are indirectly calculated.
Drawings
FIG. 1 is a schematic structural diagram of a device for measuring load distribution of an edge cutting edge provided by an embodiment of the invention;
FIG. 2 is a schematic diagram of an exploded structure of a measuring device for load distribution of a cutting edge of a blade provided by an embodiment of the invention;
in the figure: 1. a support base; 2. a support platform; 3. a damping spring; 4. a test platform; 5. cutting a groove; 6. an I-shaped iron block; 7. a signal output port; 8. an induction sheet; 9. a base fixing bolt; 10. a support platform fixing bolt; 11. i-shaped iron block fixing bolt.
Detailed Description
In order to further understand the contents, features and effects of the present invention, the following embodiments are illustrated and described in detail with reference to the accompanying drawings.
The structure of the present invention will be described in detail below with reference to the accompanying drawings.
As shown in fig. 1 and fig. 2, the supporting bases 1 are disposed on two sides of the measuring device for load distribution of the cutting edge of the blade according to the embodiment of the present invention, and the supporting platforms 2 are fixed on the supporting bases 1 on the two sides through four base fixing bolts 9. An I-shaped iron block 6 is fixed in the middle of the supporting platform 2 through two I-shaped iron block fixing bolts 11, two induction sheets 8 are welded on two sides of the front of the I-shaped iron block 6, a signal output port 7 is welded on the side face of the I-shaped iron block 6, and the signal output port 7 is connected with the two induction sheets 8. The supporting platform 2 is fixed with a testing platform 4 through four supporting platform fixing bolts 10, a cutting groove 5 is formed in the middle of the testing platform 4, and damping springs 3 are sleeved on the four supporting platform fixing bolts 10.
The working principle of the invention is as follows: cutting simulation actions are carried out on the surface of the platform and in the cutting groove 5 by using the cutting edge on the test platform 4, the test platform 4 is subjected to pressure to generate extrusion deformation, the I-shaped iron block 6 fixed below is driven to generate the same extrusion deformation, the induction sheets 8 on the I-shaped iron block 6 generate different electric signals due to different extrusion deformation degrees of the left side and the right side of the I-shaped iron block 6, the electric signals are output through the signal output port 7 and are transmitted to an upper computer, and the distribution condition of the cutting load of the cutting edge can be calculated through signal simulation calculation.
The above description is only for the preferred embodiment of the present invention, and is not intended to limit the present invention in any way, and all simple modifications, equivalent changes and modifications made to the above embodiment according to the technical spirit of the present invention are within the scope of the technical solution of the present invention.

Claims (7)

1. A method for measuring the load distribution of the cutting edge of a dry cutting and slicing serrated knife is characterized by comprising the following steps of: cutting simulation actions are carried out on the surface of the platform and in the cutting groove by using a cutting edge on a test platform, the test platform is subjected to pressure to generate extrusion deformation, an I-shaped iron block fixed below the test platform is driven to generate the same extrusion deformation, different electric signals are generated by sensing pieces on the I-shaped iron block due to different extrusion deformation degrees of the left side and the right side of the I-shaped iron block and are output through a signal output port and transmitted to an upper computer, and the distribution condition of cutting loads of the cutting edge can be calculated through signal simulation calculation;
the expression of the extrusion deformation time-frequency overlapping signal received by the upper computer is as follows:
y(t)＝x1(t)+x2(t)+…xp(t)+n(t)；
wherein xi(t) represents the ith component squeeze-deformation signal, p is the number of the component squeeze-deformation signals, n (t) represents the Gaussian noise squeeze-deformation signal, y (t) represents the received time-frequency overlap squeeze-deformation signal, and the expression of the third-order cumulant is as follows:
C3y(τ1,τ2)＝E[y(t)y(t+τ1)y(t+τ2)]；
wherein, tau1，τ2Two different time delays; by the nature of the third-order cumulant, the third-order cumulant of the Gaussian noise is constantly equal to zero, and the above formula is expressed as:
Figure FDA0002172144410000011
order to
Figure FDA0002172144410000012
I.e. C3y(τ1,τ2)＝C3x(τ1,τ2)；
To C3y(τ1,τ2) Performing secondary Fourier transform to obtain bispectrum B of time-frequency overlapped extrusion deformation signal3y(ω1,ω2)：
B3y(ω1,ω2)＝B3x(ω1,ω2)＝X(ω1)X(ω2)X*(ω1+ω2)；
Wherein, ω is1，ω2Two different frequencies;
the extrusion deformation signal model of the upper computer time-frequency overlapping MASK is expressed as follows:
Figure FDA0002172144410000013
wherein N is the number of signal components of the time-frequency overlapped extrusion deformation signal, N (t) is additive white Gaussian noise, si(t) is the signal component of the time-frequency superimposed signal, expressed as
Figure FDA0002172144410000021
In the formula AiRepresenting the amplitude of the component of the crush-deformation signal, ai(m) symbol symbols representing signal components, p (T) a shaping filter function, TiSymbol period, f, representing a component of the squeeze distortion signalciThe carrier frequency of the component of the crush deformation signal,
Figure FDA0002172144410000022
a phase representing a component of the crush deformation signal; the diagonal slice spectrum of the cyclic bispectrum of the MASK signal is represented as:
Figure FDA0002172144410000023
where y (t) represents the MASK signal, α is the cycle frequency of y (t), fcRepresents a carrier frequency of the squeeze-distortion signal, T is a symbol period of the squeeze-distortion signal, k is an integer,
Figure FDA0002172144410000024
Ca,3representing the third order cumulant of the random sequence a, δ () being the impulseThe function, p (f), is the shaping pulse function, expressed as:
Figure FDA0002172144410000025
taking a section f of the diagonal slice spectrum of the cycle bispectrum to be 0 to obtain:
Figure FDA0002172144410000026
for the MASK signal, f of a diagonal slice spectrum of a cyclic bispectrum is equal to 0 section, a peak value exists at the section, and carrier frequency information of the extrusion deformation signal is carried; because the diagonal slice spectrum of the cyclic bispectrum satisfies the linear superposition, the expression of the diagonal slice spectrum of the cyclic bispectrum of the time-frequency overlapped MASK signal is as follows:
Figure FDA0002172144410000027
wherein the content of the first and second substances,
Figure FDA0002172144410000028
is a constant, related to the modulation of the ith squeeze distortion signal component, TiIs the symbol period of the ith squeeze-distortion signal component.
2. The method for measuring the cutting edge load distribution of the dry-cutting serrated knife according to claim 1, wherein the method for converting the distribution value of the cutting load of the dry-cutting serrated knife comprises:
Figure FDA0002172144410000029
y represents the converted result; m1The output of the transmitter is the conversion value of the full-scale time analog-digital converter; m0Outputting the conversion value of the analog-to-digital converter when the output is zero; moutThe conversion value of the analog/digital converter at a certain sampling; s1An upper limit of the measurement parameter; s0MeasuringLower limit of the parameter.
3. The method for measuring the cutting edge load distribution of the dry cutting serrated knife according to claim 1, wherein the calculating of the distribution of the cutting load of the cutting edge by the upper computer through signal simulation comprises: load to be borne:
Figure FDA0002172144410000031
Figure FDA0002172144410000032
P0＝T0/(k0·d0) (3)
the heat flux density flowing into the cutting edge from the front cutter face and the rear cutter face in unit time and unit area respectively is as follows:
Figure FDA0002172144410000033
Figure FDA0002172144410000034
4. a measuring device for the load distribution of the cutting edge of the dry-cutting serrated knife according to the measuring method for the load distribution of the cutting edge of the dry-cutting serrated knife of claim 1, wherein two sides of the measuring device for the load distribution of the cutting edge of the dry-cutting serrated knife are provided with supporting bases, and supporting platforms are fixed on the supporting bases at two sides through four base fixing bolts; an I-shaped iron block is fixed in the middle of the supporting platform through two I-shaped iron block fixing bolts, two induction sheets are welded on two sides of the front of the I-shaped iron block, a signal output port is welded on the side face of the I-shaped iron block, and the signal output port is connected with the two induction sheets; the supporting platform is fixed with a testing platform through four supporting platform fixing bolts, a cutting groove is formed in the middle of the testing platform, and damping springs are sleeved on the four supporting platform fixing bolts.
5. The device for measuring the load distribution of the cutting edge of a dry cutting serrated knife as claimed in claim 4, characterized in that a cutting groove is longitudinally cut in the middle of the test platform.
6. The device for measuring the load distribution of the cutting edge of a dry cutting and slicing serrated knife according to claim 4, wherein damping springs are sleeved on the four supporting platform fixing bolts.
7. The device for measuring the load distribution of the cutting edge of the dry cutting and slicing serrated knife according to claim 4, characterized in that two sensing pieces are welded on the two sides of the front surface of the I-shaped iron block.
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