CN116000260A - Resonance preventing method for non-sinusoidal vibration system of continuous casting crystallizer - Google Patents
Resonance preventing method for non-sinusoidal vibration system of continuous casting crystallizer Download PDFInfo
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- CN116000260A CN116000260A CN202310107083.3A CN202310107083A CN116000260A CN 116000260 A CN116000260 A CN 116000260A CN 202310107083 A CN202310107083 A CN 202310107083A CN 116000260 A CN116000260 A CN 116000260A
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Abstract
The invention discloses a resonance prevention method of a non-sinusoidal vibration system of a continuous casting crystallizer, which is applied to a control system of the continuous casting crystallizer and comprises the following steps: and (3) calculating a synchronization function: according to vibration system parameters set by continuous casting operators, calculating the frequency, amplitude and deflection factor of a vibration track curve; and calculating the excitation harmonic order range. The non-sinusoidal vibration system of the crystallizer can efficiently identify the excitation harmonic component of the vibration curve, effectively reduce the harmonic excitation component and equipment resonance under the condition of keeping the original vibration frequency, and effectively solve the problems of severe shaking and large deflection of the vibration equipment. When the non-sinusoidal vibration system of the crystallizer detects that the equipment to be excited resonates, the vibration curve parameters can be automatically adjusted so as to reduce the excitation harmonic component and eliminate the resonance, the natural frequency of the vibration equipment is not required to be changed, and the transformation cost for solving the resonance problem is greatly reduced. The invention is applicable to any form of non-sinusoidal vibration system of a crystallizer.
Description
Technical Field
The invention relates to the technical field of metallurgical continuous casting processes, in particular to a resonance prevention method of a non-sinusoidal vibration system of a continuous casting crystallizer.
Background
With the development and wide application of continuous casting crystallizer vibration control technology, the crystallizer vibration system greatly increases the lubrication of the crystallizer, improves the surface quality of casting blanks, improves the demoulding efficiency of the casting blanks, and becomes an indispensable part in continuous casting production.
In continuous casting production, each time the casting machine starts casting, the vibration frequency of a crystallizer vibration system is gradually increased from an initial vibration frequency to a working vibration frequency along with the increase of the pulling speed, and the resonance phenomena of severe vibration and rapid deflection increase of the whole vibration equipment in a vibration frequency range can occur, so that the production problems of shaking of the liquid level of molten steel, steel leakage and the like are caused.
The phenomenon is mainly influenced by the vibration curve excitation harmonic component, the vibration frequency of the continuous casting crystallizer is usually lower than the natural frequency of the vibration equipment, and the frequency of the vibration curve excitation harmonic component is an integral multiple of the vibration frequency. When the frequency of the excitation harmonic component of the vibration curve with larger partial amplitude is close to or coincident with the natural frequency of the vibration equipment, the vibration equipment can generate resonance, so that the problems of severe shaking and rapid deflection increase of the vibration system are caused.
At present, the means for solving the resonance problem of the vibration equipment on site is deficient, and the vibration equipment is often required to be replaced by springs or weight for increasing the vibration equipment so as to change the natural frequency of the vibration equipment, thereby improving the resonance problem of the vibration equipment. The method of changing the natural frequency of the vibration device does not increase the cost and is not beneficial to the maintenance of the device.
In order to solve the equipment resonance, the vibration curve can be changed through the vibration control system, so that the frequency and the amplitude of the vibration curve excitation harmonic component are changed, and the equipment resonance is effectively reduced. Thus, the resonance problem of the equipment can be changed without increasing the cost, and the maintenance of the equipment is facilitated. However, how to efficiently and stably identify the excitation harmonic component of the vibration curve and automatically adjust the vibration parameter operation is an urgent problem to be solved.
Disclosure of Invention
Aiming at the technical problems in the related art, the invention provides a resonance prevention method for a non-sinusoidal vibration system of a continuous casting crystallizer, which can overcome the defects in the prior art.
In order to achieve the technical purpose, the technical scheme of the invention is realized as follows:
a non-sinusoidal vibration system resonance prevention method of a continuous casting crystallizer is applied to a control system of the continuous casting crystallizer, and comprises the following steps:
s1: and (3) calculating a synchronization function: according to vibration system parameters set by continuous casting operators, calculating the frequency f, the amplitude A and the deflection factor alpha of a vibration track curve;
s2, calculating an excitation harmonic order range: by natural frequency f of the device given by the designer of the vibrating device n And the set vibration frequency f, and performing range calculation of excitation harmonic order number N;
s3, calculating the amplitude value of excitation harmonic waves: by means of Fourier series expansion of vibration curve, vibration harmonic amplitude A in vibration harmonic order N range is obtained N ；
S4, comparing excitation harmonic amplitude values: excitation harmonic amplitude A N And resonance early warning amplitude A a Comparing, if the pre-warning value is exceeded, adjusting parameters by the vibration system, and returning to S3 for calculation; if the vibration parameter is lower than the early warning value, the vibration system sends the vibration parameter to S5 for position waveform calculation and output;
s5, adjusting vibration parameters: automatically adjusting vibration parameters to reduce the amplitude of excitation harmonic waves;
s6, calculating and outputting a waveform curve: and (5) performing waveform generation calculation through the adjusted vibration parameters in the step (S5), and outputting the waveform as a position set value.
Further, the vibration system parameters in S1 include pull rate Vc and vibration parameters C1-C5.
Further, the range calculation formula of the excitation harmonic order number N in S2 is:
A*f n /f<N<B*f n /f
wherein A and B are excitation frequency range coefficients, n is a positive integer, and the coefficients are determined according to a harmonic resonance interval.
Further, solving excitation harmonics by Fourier series expansionAmplitude A N The formula is:
wherein a is N And b N Is the magnitude of the N-th order fourier series expansion.
Further, the vibration parameter method adjusted in S5 includes decreasing the skew factor α and decreasing the amplitude a.
The invention has the beneficial effects that: the non-sinusoidal vibration system of the crystallizer can efficiently identify the excitation harmonic component of the vibration curve, effectively reduce the harmonic excitation component and equipment resonance under the condition of keeping the original vibration frequency, and effectively solve the problems of severe shaking and large deflection of the vibration equipment. When the non-sinusoidal vibration system of the crystallizer detects that the equipment to be excited resonates, the vibration curve parameters can be automatically adjusted so as to reduce the excitation harmonic component and eliminate the resonance, the natural frequency of the vibration equipment is not required to be changed, and the transformation cost for solving the resonance problem is greatly reduced. The invention is applicable to any form of non-sinusoidal vibration system of a crystallizer.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are needed in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of a method for preventing resonance of a non-sinusoidal vibration system of a continuous casting crystallizer according to an embodiment of the invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which are derived by a person skilled in the art based on the embodiments of the invention, fall within the scope of protection of the invention.
As shown in FIG. 1, the resonance preventing method for the non-sinusoidal vibration system of the continuous casting crystallizer according to the embodiment of the invention is mainly applied to a control system of the continuous casting crystallizer, and is different from the existing method for changing the natural frequency of vibration equipment, the invention can realize efficient identification of harmonic components of a vibration curve and automatic adjustment of vibration parameters, effectively reduces the generation of resonance of the vibration equipment, and a system block diagram is shown in FIG. 1, and a specific embodiment is divided into the following steps:
step 1: and (3) calculating a synchronization function: and calculating the frequency f, the amplitude A and the deflection factor alpha of the vibration track curve according to the vibration system parameters set by the continuous casting operator.
Step 2: calculating the excitation harmonic order range: and calculating the range of the excitation harmonic order number N through the equipment natural frequency fn and the set vibration frequency f which are given by a vibration equipment designer. The method is mainly used for finding out the range of the excitation harmonic wave number which can cause resonance, and reducing the data calculated amount of the amplitude of the excitation harmonic wave.
Step 3: excitation harmonic amplitude calculation: and (3) obtaining excitation harmonic amplitude AN within the range of excitation harmonic order N by expanding Fourier series of the vibration curve, wherein different excitation harmonic order N correspond to different AN values.
Step 4: excitation harmonic amplitude comparison: and comparing the excitation harmonic amplitude AN with the resonance early warning amplitude Aa. If the pre-warning value is exceeded, the vibration system adjusts the parameters. Returning to the step 3 for calculation; if the vibration parameter is lower than the early warning value, the vibration system sends the vibration parameter to the step 6 for position waveform calculation and output.
Step 5: adjusting vibration parameters: the effect of reducing the amplitude of excitation harmonic wave is achieved by automatically adjusting vibration parameters.
Step 6: waveform curve calculation output: the waveform generation calculation is performed on the vibration parameters adjusted in the step 5, and the waveform is output as a position set value.
The set curve position value calculated by the method can effectively reduce excitation harmonic waves and eliminate equipment resonance.
In order to facilitate understanding of the above technical solutions of the present invention, the following describes the above technical solutions of the present invention in detail by a specific usage manner.
When the method is specifically used, in the non-sinusoidal vibration process of the continuous casting crystallizer, the vibration equipment needs to act according to a set position curve and complete anti-resonance calculation, and the following steps are needed to be executed:
firstly, after the pull rate Vc and vibration parameters C1-C5 are obtained, the vibration control system calculates the amplitude A, the vibration frequency f and the deflection factor alpha by using a synchronous function.
The second step, the range of the order of the excitation harmonic can be calculated through the vibration frequency f and the natural frequency fn of the equipment, so that the range of the search excitation harmonic can be reduced, and the calculation is shown in a formula (1)
A*f n /f<N<B* f n /f (1)
Wherein A and B are excitation frequency range coefficients, and N is an integer determined according to a harmonic resonance interval.
Thirdly, solving the excitation harmonic amplitude AN through Fourier series expansion, as shown in a formula (2)
Wherein a is N And b N Is the magnitude of the N-th order fourier series expansion.
And fourthly, comparing the calculated AN with a resonance early warning value Aa, and if the AN exceeds the early warning value, jumping to a fifth step for processing by the vibration control system. If the pre-warning value is lower than the pre-warning value, the vibration control system jumps to a sixth step of processing.
Fifth, the effect of reducing the amplitude of the excitation harmonic is achieved by reducing the skew factor alpha or reducing the amplitude A.
And sixthly, performing waveform generation calculation according to the vibration frequency f, the amplitude A and the deflection factor alpha adjusted in the fifth step, and outputting the waveform as a position set value.
The method can realize that the non-sinusoidal vibration system of the continuous casting crystallizer reduces the amplitude of the excitation harmonic component, eliminates the resonance of vibration equipment and reduces the equipment shake and deflection.
In summary, by means of the technical scheme, the non-sinusoidal vibration system of the crystallizer can efficiently identify the excitation harmonic component of the vibration curve, effectively reduce the harmonic excitation component and equipment resonance under the condition of keeping the original vibration frequency, and effectively solve the problems of severe shaking and large deflection of the vibration equipment. When the non-sinusoidal vibration system of the crystallizer detects that the equipment to be excited resonates, the vibration curve parameters can be automatically adjusted so as to reduce the excitation harmonic component and eliminate the resonance, the natural frequency of the vibration equipment is not required to be changed, and the transformation cost for solving the resonance problem is greatly reduced. The invention is applicable to any form of non-sinusoidal vibration system of a crystallizer.
The foregoing description of the preferred embodiments of the invention is not intended to be limiting, but rather is intended to cover all modifications, equivalents, alternatives, and improvements that fall within the spirit and scope of the invention.
Claims (5)
1. The resonance preventing method for the non-sinusoidal vibration system of the continuous casting crystallizer is characterized by being applied to a control system of the continuous casting crystallizer and comprising the following steps of:
s1: and (3) calculating a synchronization function: according to vibration system parameters set by continuous casting operators, calculating the frequency f, the amplitude A and the deflection factor alpha of a vibration track curve;
s2, calculating an excitation harmonic order range: by natural frequency f of the device given by the designer of the vibrating device n And the set vibration frequency f, and performing range calculation of excitation harmonic order number N;
s3, calculating the amplitude value of excitation harmonic waves: by means of Fourier series expansion of vibration curve, vibration harmonic amplitude A in vibration harmonic order N range is obtained N ；
S4, comparing excitation harmonic amplitude values: excitation harmonic amplitude A N And resonance early warning amplitude A a Comparing, if the pre-warning value is exceeded, adjusting the reference value by the vibration systemThe number is returned to S3 for calculation; if the vibration parameter is lower than the early warning value, the vibration system sends the vibration parameter to S5 for position waveform calculation and output;
s5, adjusting vibration parameters: automatically adjusting vibration parameters to reduce the amplitude of excitation harmonic waves;
s6, calculating and outputting a waveform curve: and (5) performing waveform generation calculation through the adjusted vibration parameters in the step (S5), and outputting the waveform as a position set value.
2. The resonance preventing method for non-sinusoidal vibration system of continuous casting crystallizer according to claim 1, wherein the vibration system parameters in S1 include pull rate Vc and vibration parameters C1 to C5.
3. The resonance preventing method for the non-sinusoidal vibration system of the continuous casting mold according to claim 1, wherein the range calculation formula of the excitation harmonic order number N in S2 is:
A*f n /f<N<B*f n /f
wherein A and B are excitation frequency range coefficients, n is a positive integer, and the coefficients are determined according to a harmonic resonance interval.
4. The method for preventing resonance of non-sinusoidal vibration system of continuous casting crystallizer according to claim 1, wherein the excitation harmonic amplitude A is solved by Fourier series expansion N The formula is:
wherein a is N And b N Is the magnitude of the N-th order fourier series expansion.
5. The method for preventing resonance in a non-sinusoidal vibration system of a continuous casting mold according to claim 1, wherein the vibration parameter method adjusted in S5 includes decreasing the skew factor α and decreasing the amplitude a.
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| Application Number | Priority Date | Filing Date | Title |
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| CN202310107083.3A CN116000260A (en) | 2023-01-31 | 2023-01-31 | Resonance preventing method for non-sinusoidal vibration system of continuous casting crystallizer |
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| CN202310107083.3A CN116000260A (en) | 2023-01-31 | 2023-01-31 | Resonance preventing method for non-sinusoidal vibration system of continuous casting crystallizer |
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| CN202310107083.3A Pending CN116000260A (en) | 2023-01-31 | 2023-01-31 | Resonance preventing method for non-sinusoidal vibration system of continuous casting crystallizer |
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