CN107665273A - The frequency acquisition method that butterfly plate valve rod assembly inducing fluid vibrates in a kind of butterfly valve - Google Patents

The frequency acquisition method that butterfly plate valve rod assembly inducing fluid vibrates in a kind of butterfly valve Download PDF

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Publication number
CN107665273A
CN107665273A CN201710786911.5A CN201710786911A CN107665273A CN 107665273 A CN107665273 A CN 107665273A CN 201710786911 A CN201710786911 A CN 201710786911A CN 107665273 A CN107665273 A CN 107665273A
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butterfly plate
fluid
butterfly
rod assembly
valve rod
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王海民
孔祥帅
刘欢
胡峰
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University of Shanghai for Science and Technology
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University of Shanghai for Science and Technology
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation

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  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
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  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Indication Of The Valve Opening Or Closing Status (AREA)
  • Lift Valve (AREA)

Abstract

The invention discloses the frequency acquisition method that butterfly plate valve rod assembly inducing fluid in a kind of butterfly valve vibrates, comprise the following steps:The threedimensional model of butterfly plate valve rod assembly in butterfly valve is established, mesh generation is carried out according to the fluid domain of the aperture convection body of butterfly valve;Step 2, the boundary condition and primary condition of the actual condition of Butterfly plate valve bar assembly are flowed through according to fluid, three-dimensional non-steady numerical simulation in runner is carried out and calculates, obtain the distribution of each flow parameter in runner;Step 3, according to butterfly plate architectural feature, fluid domain is radially divided into multiple sections with key character along runner, and crucial monitoring point is chosen close to the position of butterfly plate valve rod assembly wall on each section;Step 4, the fluid pressure parameters instantaneous value of each monitoring point on each section at butterfly plate valve rod assembly is extracted;Step 5, the Fourier transform of discrete data is carried out to pressure parameter instantaneous value, obtains the fluid force acting frequency of crucial monitoring point on section.

Description

The frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration in a kind of butterfly valve
Technical field
The present invention relates to three-eccentric-butterfly-valve internal flow feature, calculates and is vibrated caused by butterfly plate-valve rod assembly inducing fluid A kind of frequency, and in particular to the frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration in butterfly valve.
Background technology
Flow-induced structural vibration refers to be in fluid or the structure of transmission fluid is vibrated, and is to flow the reason for vibration Effect of the muscle power to structure, or the interaction of fluid force and structure.The pressure of fluid force acts to structure, sends out structure Raw vibration, structural vibration can change fluid domain, and the change of fluid domain causes fluid flow state to change, and flow field can also occur Change, causes to act on the fluid force in structure and changes, so as to change the induced vibration of structure, and so on, until stream Muscle power reaches poised state with structural vibration.Flow-induced structure is vibrated, and may cause malformation, or to whole system System damages.Flow-induced structural vibration, it can be divided into according to its mechanism:Pressure fluctuation causes exciting, the elasticity of fluid unstable Fixed, vortex.
Fluid is under turbulence state, when flowing through body structure surface, can form random pressure field in body structure surface, due to turbulent flow from Physically see, it can be regarded as the overlapping flowing formed of vortex of various different scales, the size of these whirlpools and rotation The distribution arrangement of rotating shaft is random.The random motion that different scale is vortexed causes an important feature-physical quantity of turbulent flow Pulsation, the pressure fluctuation formed to body structure surface, structure is caused to produce vibration, when frequency and the structure order frequency of pressure fluctuation When identical, high vibration can occur for structure, and now amplitude is maximum.
Fluid-elastic instability phenomenon refers under cross flow effect that the self-oscillation of pipe row, is by elastic construction and fluid The result of interaction.When fluid flows through Flexible pipe fitting with certain flow velocity, if the energy that pipe fitting damping consumes is less than Fluid gives the energy of pipe fitting, and the vibration of large magnitude can occur for pipe fitting, that is, elastic instability phenomenon occurs.
Vortex refers to that, in structure tail portions formation Shedding Vortex, Shedding Vortex meeting impact structure, causes structure to be produced when coming off Raw vibration.In the afterbody of certain structure, the formation and development of Shedding Vortex are directly relevant with Reynolds number, during vortex shedding, can make structure By with flowing to the alternating force in vertical direction, structure can generation be vibrated this side up.
Three-eccentric-butterfly-valve is structurally characterized in that its valve rod installation site a larger boss can occur in the side of butterfly plate. This boss can cause fluid when streaming butterfly plate, unequal in pressure caused by two working face, and whirlpool come off and Flow separation, the structure of butterfly plate is more complicated, and caused fluid force is more complicated to the force characteristics of butterfly plate.
The content of the invention
The present invention is, and it is an object of the present invention to provide butterfly plate-valve rod assembly in a kind of butterfly valve in order to solving the above problems and carry out The frequency acquisition method of inducing fluid vibration.
The invention provides a kind of frequency acquisition method of butterfly plate in butterfly valve-valve rod assembly inducing fluid vibration, there is this The feature of sample, including:Following steps:
Step 1, the threedimensional model of butterfly plate-valve rod assembly in butterfly valve, and upstream and downstream pipeline section model are established, according to butterfly valve The fluid domain of aperture convection body carries out mesh generation;
Step 2, the actual condition of butterfly plate-valve rod assembly is flowed through according to fluid, gives upstream pipeline section import in initial time Speed and Temperature numerical, and the outlet of downstream pipeline section carry out three-dimensional non-steady number in runner in pressure, the Temperature numerical of initial time Value simulation calculates, and obtains the distribution of each flow parameter in runner;
Step 3, the raised boss having according to butterfly plate, when fluid flows through butterfly plate-valve rod assembly, right angle can locally be undergone It is curved, locally there is arc transition bent angle, radially pass through fluid domain along runner, and flow through the bent angle type, flow length, stream of butterfly plate These factors of the type of dynamic separation, butterfly plate-valve rod assembly is divided into multiple sections, and close to butterfly plate-valve on each section Crucial monitoring point is chosen in the outer surface of bar assembly wall and the region of fluid contact;
Step 4, the fluid pressure parameters for extracting each monitoring point on each section at butterfly plate-valve rod assembly are instantaneous Value;
Step 5, the Fourier transform of discrete data is carried out to pressure parameter instantaneous value, obtains crucial monitoring point on section Fluid force acting frequency.
, can be with butterfly valve provided by the invention in the frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration Have the feature that:Wherein, flow parameter includes fluid field pressure, speed and the temperature in runner in step 2.
, can be with butterfly valve provided by the invention in the frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration Have the feature that:Wherein, the number in the section in step 3 is 5.
, can be with butterfly valve provided by the invention in the frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration Have the feature that:Wherein, the number of the crucial test point in step 3 is 10.
, can be with butterfly valve provided by the invention in the frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration Have the feature that:Wherein, the grid in step 1 is fluid domain, fluid is calculated for simulating, on the node of each grid Have the numerical value of corresponding pressure, speed, temperature these parameters;The outer surface in the section in step 3 has all been covered with grid.
The effect of invention and effect
The frequency acquisition method vibrated according to butterfly plate in butterfly valve involved in the present invention-valve rod assembly inducing fluid, because Institute according to flow performance and have chosen crucial monitoring point, it is possible to faster, more effectively, more accurately obtain there is very strong generation The result of calculation of the monitoring point of table.Therefore, the present invention can be used for assessing fluid such as gas, liquid or these media of steam around When flowing butterfly plate-valve rod assembly, fluid force is to the amount of force and frequency of component, to aid in rationally setting for butterfly plate-valve rod assembly Meter, it is ensured that resonance will not be produced;Especially in fluid high Reynolds number flow operating mode, frequency is vibrated by the inducing fluid of the present invention Rate acquisition methods, butterfly plate, the material of valve rod, thickness, quality, surface texture featur etc. can be rationally designed and commented Estimate, to reduce the vibration of butterfly plate, the ill-effect such as rock to structure and the destruction of sealing.
Brief description of the drawings
Fig. 1 is the schematic flow sheet of embodiments of the invention;
Fig. 2 is the two-dimensional structure figure of butterfly plate-valve rod assembly of embodiments of the invention;
Fig. 3 is the tomograph of butterfly plate-valve rod assembly of embodiments of the invention;
Fig. 4 is the position view of the computational fields and butterfly plate-valve rod assembly of embodiments of the invention in computational fields;
Fig. 5 is grid at the left view three eccentricity butterfly plate of embodiments of the invention;
Fig. 6 is grid at the left view three eccentricity butterfly plate of embodiments of the invention;
Fig. 7 is the three-eccentric-butterfly-valve partial cross-section schematic diagram of embodiments of the invention;
Fig. 8 is the partial cross-section position view of embodiments of the invention;
Fig. 9 is the pressure monitoring point schematic diagram at the section 0 of embodiments of the invention;
Figure 10 is the pressure monitoring point schematic diagram at the section 1 of embodiments of the invention;
Figure 11 is the pressure monitoring point schematic diagram at the section 2 of embodiments of the invention;
Figure 12 is the pressure monitoring point schematic diagram at the section 3 of embodiments of the invention;
Figure 13 is the pressure monitoring point schematic diagram at the section 4 of embodiments of the invention;
Figure 14 is each point pressure fluctuation time-domain diagram of section 0 of embodiments of the invention;
Figure 15 is each point pressure fluctuation time-domain diagram of section 2 of embodiments of the invention;
Figure 16 is each point pressure fluctuation time-domain diagram of section 4 of embodiments of the invention;
Figure 17 is each point pressure fluctuation frequency domain figure of section 0 of embodiments of the invention;
Figure 18 is each point pressure fluctuation frequency domain figure of section 2 of embodiments of the invention;
Figure 19 is each point pressure fluctuation frequency domain figure of section 4 of embodiments of the invention;
Figure 20 is pressure fluctuation time-domain diagram under 4 point difference operating modes at the section 0 of embodiments of the invention;
Figure 21 is pressure fluctuation time-domain diagram under 5 point difference operating modes at the section 0 of embodiments of the invention;
Figure 22 is pressure fluctuation time-domain diagram under 8 point difference operating modes at the section 0 of embodiments of the invention;
Figure 23 is pressure fluctuation frequency domain figure under 4 point difference operating modes at the section 0 of embodiments of the invention;
Figure 24 is pressure fluctuation frequency domain figure under 5 point difference operating modes at the section 0 of embodiments of the invention;
Figure 25 is pressure fluctuation frequency domain figure under 8 point difference operating modes at the section 0 of embodiments of the invention.
Embodiment
In order that the technological means that the present invention realizes is easy to understand with effect, with reference to embodiments and accompanying drawing is to this Invention is specifically addressed.
Embodiment one:
Fig. 1 is the schematic flow sheet of embodiments of the invention, and Fig. 2 is butterfly plate-valve rod assembly of embodiments of the invention Two-dimensional structure figure, Fig. 3 are the tomographs of butterfly plate-valve rod assembly of embodiments of the invention, and Fig. 4 is embodiments of the invention Position view in computational fields of computational fields and butterfly plate-valve rod assembly, Fig. 5 is that the left view three of embodiments of the invention is inclined Grid at heart butterfly plate, Fig. 6 are grids at the left view three eccentricity butterfly plate of embodiments of the invention.
Table 1:Duty parameter table
Step 1, butterfly valve butterfly plate-valve rod assembly threedimensional model is established, sees Fig. 2 and Fig. 3.Determine computational fields and butterfly plate-valve rod Fig. 4 is seen in position of the component in computational fields.The neighbouring Local grid grid division density degree of butterfly plate-valve rod and details in computational fields As shown in Fig. 5 and Fig. 6.
Step 2, entered using the actual condition that butterfly plate-valve rod assembly is flowed through according to fluid shown in table 1, given upstream pipeline section Mouth exports pressure, the Temperature numerical in initial time in initial time speed and Temperature numerical, and downstream pipeline section, carries out in runner Three-dimensional non-steady numerical simulation calculates, and obtains the distribution of the parameters such as runner flow field pressure, speed and temperature.
Fig. 7 is the three-eccentric-butterfly-valve partial cross-section schematic diagram of embodiments of the invention, and Fig. 8 is to cut dividing for embodiments of the invention Face position view, Fig. 9 are the pressure monitoring point schematic diagrames at the section 0 of embodiments of the invention, and Figure 10 is the reality of the present invention The pressure monitoring point schematic diagram at the section 1 of example is applied, Figure 11 is the pressure monitoring point signal at the section 2 of embodiments of the invention Figure, Figure 12 are the pressure monitoring point schematic diagrames at the section 3 of embodiments of the invention, and Figure 13 is cutting for embodiments of the invention Pressure monitoring point schematic diagram at face 4.
Step 3, the raised boss having according to butterfly plate, when fluid flows through butterfly plate-valve rod assembly, right angle can locally be undergone It is curved, locally there is arc transition bent angle, radially pass through fluid domain along runner, and flow through the bent angle type, flow length, stream of butterfly plate These factors of the type of dynamic separation, are divided into multiple sections, as shown in Fig. 7 and Fig. 8 by butterfly plate-valve rod assembly.Fig. 9, Figure 10, figure 11, Figure 12, Figure 13 distinguish 0 section in corresponding diagram 7 and Fig. 8,1 section, 2 sections, 3 sections and 4 sections.Leaned on each section Crucial monitoring point is chosen in the outer surface of nearly butterfly plate-valve rod assembly wall and the region of fluid contact, sees Fig. 9, Figure 10, Figure 11, schemes Monitoring point 1, monitoring point 2, monitoring point 3, monitoring point 4, monitoring point 5, monitoring point 6, monitoring point 7, prison have been respectively arranged in 12, Figure 13 Measuring point 8, monitoring point 9, monitoring point 10, altogether 10 monitoring points.
Figure 14 is each point pressure fluctuation time-domain diagram of section 0 of embodiments of the invention, and Figure 15 is embodiments of the invention The each point pressure fluctuation time-domain diagram of section 2, Figure 16 are each point pressure fluctuation time-domain diagrams of section 4 of embodiments of the invention.
Step 4, the instantaneous value of each monitoring point fluid pressure parameters at nearly butterfly plate-valve rod assembly on each section is extracted.To cut Face 0, section 2, exemplified by section 4, extract the monitoring point 2 on each section, monitoring point 4, monitoring point 6, monitoring point 8, monitoring point 10 Pressure parameter instantaneous value.
For operating mode 4 in table 1, i.e., under maximum stream flow operating mode, Figure 14 is each point pressure fluctuation time-domain diagram of section 0, Tu15Wei The each point pressure fluctuation time-domain diagram of section 2, middle Figure 16 are each point pressure fluctuation time-domain diagram of section 4.
Figure 17 is each point pressure fluctuation frequency domain figure of section 0 of embodiments of the invention, and Figure 18 is embodiments of the invention The each point pressure fluctuation frequency domain figure of section 2, Figure 19 are each point pressure fluctuation frequency domain figures of section 4 of embodiments of the invention.
Table 2:4 times each point maximum static pressure values of operating mode and dominant frequency result of calculation
Step 5, the Fourier transform of discrete data is carried out to Figure 14, Figure 15 and Figure 16 pressure parameter instantaneous value, obtained Shown in the fluid force effect frequency domain figure of crucial monitoring point on each section, such as Figure 17, Figure 18 and Figure 19.
From Figure 17, Figure 18 and Figure 19, the pressure fluctuation dominant frequency of fluid force can be obtained, as shown in table 2, can from 1 It is 54.7Hz to go out the 4 point pressures pulsation dominant frequency at section 0, and 6 points of pressure fluctuation dominant frequency is 103.5Hz, and other sections respectively press Power pulsation dominant frequency is 117.2Hz.
Embodiment two:
Step 1, butterfly valve butterfly plate-valve rod assembly threedimensional model is established, sees Fig. 2 and Fig. 3.Determine computational fields and butterfly plate-valve rod Fig. 4 is seen in position of the component in computational fields.The neighbouring Local grid grid division density degree of butterfly plate-valve rod and details in computational fields As shown in Fig. 5 and Fig. 6.
Step 2, entered using the actual condition that butterfly plate-valve rod assembly is flowed through according to fluid shown in table 1, given upstream pipeline section Mouth exports pressure, the Temperature numerical in initial time in initial time speed and Temperature numerical, and downstream pipeline section, carries out in runner Three-dimensional non-steady numerical simulation calculates, and obtains the distribution of the parameters such as runner flow field pressure, speed and temperature.
Step 3, the raised boss having according to butterfly plate, when fluid flows through butterfly plate-valve rod assembly, right angle can locally be undergone It is curved, locally there is arc transition bent angle, radially pass through fluid domain along runner, and flow through the bent angle type, flow length, stream of butterfly plate These factors of the type of dynamic separation, are divided into multiple sections, as shown in Fig. 7 and Fig. 8 by butterfly plate-valve rod assembly.Fig. 9, Figure 10, figure 11, Figure 12, Figure 13 distinguish 0 section in corresponding diagram 7 and Fig. 8,1 section, 2 sections, 3 sections and 4 sections.On each section Crucial monitoring point is chosen close to the region of the outer surface of butterfly plate-valve rod assembly wall and fluid contact, sees Fig. 9, Figure 10, Figure 11, Be respectively arranged in Figure 12, Figure 13 monitoring point 1, monitoring point 2, monitoring point 3, monitoring point 4, monitoring point 5, monitoring point 6, monitoring point 7, Monitoring point 8, monitoring point 9, monitoring point 10, altogether 10 monitoring points.
Figure 20 is that pressure fluctuation time-domain diagram, Figure 21 are the present invention under 4 point difference operating modes at the section 0 of embodiments of the invention Embodiment section 0 at pressure fluctuation time-domain diagram under 5 point difference operating modes, Figure 22 is 8 points at the section 0 of embodiments of the invention Pressure fluctuation time-domain diagram under different operating modes.
Step 4, the instantaneous value of each monitoring point fluid pressure parameters at nearly butterfly plate-valve rod assembly on each section is extracted.
For different operating modes in table 1, i.e. flow from small to large, chooses section 0, extracts monitoring point 4, monitoring point 5, monitoring point 8 pressure parameter instantaneous value, Figure 20 are operating mode 1, operating mode 2, pressure at monitoring point 4 on the section 0 corresponding to operating mode 3 and operating mode 4 Pulsation time-domain diagram;Middle Figure 21 is operating mode 1, operating mode 2, pressure fluctuation at monitoring point 5 on the section 0 corresponding to operating mode 3 and operating mode 5 Time-domain diagram;Figure 22 is operating mode 1, operating mode 2, pressure fluctuation time-domain diagram at monitoring point 8 on the section 0 corresponding to operating mode 3 and operating mode 4.
Figure 23 is that pressure fluctuation frequency domain figure, Figure 24 are the present invention under 4 point difference operating modes at the section 0 of embodiments of the invention Embodiment section 0 at pressure fluctuation frequency domain figure under 5 point difference operating modes, Figure 25 is 8 points at the section 0 of embodiments of the invention Pressure fluctuation frequency domain figure under different operating modes.
Step 5, the Fourier transform of discrete data is carried out to Figure 20, Figure 21 and Figure 22 pressure parameter instantaneous value, obtained Shown in the fluid force effect frequency domain figure of crucial monitoring point on each section, such as Figure 23, Figure 24 and Figure 25.
The effect of embodiment and effect
Table 3:Each point pressure fluctuation and dominant frequency result of calculation under difference operating mode at section 0
It can be seen from embodiment one and embodiment two, from Figure 17, Figure 18 and Figure 19, the pressure arteries and veins of fluid force can be obtained Dynamic dominant frequency, as shown in table 3.From table 3 it can be seen that under operating mode 1, monitoring point 4, the dominant frequency of monitoring point 5 and monitoring point 8 is 31.2Hz, as flow increases, under operating mode 2, monitoring point 4, the dominant frequency of monitoring point 5 and monitoring point 8 is respectively 27.3Hz, 58.6Hz and 58.6Hz;Under operating mode 3, monitoring point 4, the dominant frequency of monitoring point 5 and monitoring point 8 is respectively 42.9Hz, 85.9Hz and 85.9Hz;And arrived under maximum stream flow operating mode, monitoring point 4, the dominant frequency of monitoring point 5 and monitoring point 8 is respectively 54.7Hz, 117.2Hz and 117.2Hz.
The frequency acquisition side of butterfly plate-valve rod assembly inducing fluid vibration in butterfly valve involved by embodiment one and embodiment two Method because institute according to flow performance and have chosen crucial monitoring point, it is possible to faster, more effectively, more accurately had There is the result of calculation of very strong representational monitoring point.Therefore, the present invention can be used for assessing fluid such as gas, liquid or steam this When a little media stream butterfly plate-valve rod assembly, fluid force is to the amount of force and frequency of component, to aid in butterfly plate-valve rod assembly Rational design, it is ensured that resonance will not be produced;Especially in fluid high Reynolds number flow operating mode, pass through the induction stream of the present invention Body vibration frequency acquisition methods, it is reasonable that butterfly plate, the material of valve rod, thickness, quality, surface texture featur etc. can be carried out Design and assess, it is true to reduce the vibration of butterfly plate, the destruction of the ill-effect to structure and sealing such as rock.
Above-mentioned embodiment is the preferred case of the present invention, is not intended to limit protection scope of the present invention.

Claims (5)

1. the frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration in a kind of butterfly valve, it is characterised in that including following step Suddenly:
Step 1, the threedimensional model of butterfly plate-valve rod assembly in butterfly valve, and upstream and downstream pipeline section model are established, according to the aperture of butterfly valve The fluid domain of convection body carries out mesh generation;
Step 2, the actual condition of butterfly plate-valve rod assembly is flowed through according to the fluid, gives the upstream pipeline section import initial Moment speed and Temperature numerical, and the downstream pipeline section export pressure, the Temperature numerical in initial time, carry out three-dimensional in runner Unsteady numerical simulations calculate, and obtain the distribution of each flow parameter in runner;
Step 3, the raised boss being had according to butterfly plate, when the fluid flows through the butterfly plate-valve rod assembly, can locally undergo straight Angle is curved, locally there is arc transition bent angle, along runner radially pass through the fluid domain, and flow through the butterfly plate bent angle type, Flow length, the type of flow separation these factors, multiple sections are divided into by butterfly plate-valve rod assembly, and at each described section On face crucial monitoring point is chosen close to the region of the outer surface of the butterfly plate-valve rod assembly wall and fluid contact;
Step 4, the Fluid pressure of each monitoring point on each section at the butterfly plate-valve rod assembly is extracted Parameter instantaneous value;
Step 5, the Fourier transform of discrete data is carried out to the pressure parameter instantaneous value, obtains the key on the section The fluid force acting frequency of monitoring point.
2. the frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration, its feature in butterfly valve according to claim 1 It is:
Wherein, flow parameter described in the step 2 includes fluid field pressure, speed and the temperature in the runner.
3. the frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration, its feature in butterfly valve according to claim 1 It is:
Wherein, the number in the section in the step 3 is 5.
4. the frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration, its feature in butterfly valve according to claim 1 It is:
Wherein, the number of the crucial monitoring point in the step 3 is 10.
5. the frequency acquisition method of butterfly plate-valve rod assembly inducing fluid vibration, its feature in butterfly valve according to claim 1 It is:
Wherein, the grid in the step 1 is fluid domain, calculates the fluid for simulating, the section of each grid Can all there is the numerical value of corresponding pressure, speed, temperature these parameters on point;
The outer surface in the section in the step 3 has all been covered with grid.
CN201710786911.5A 2017-09-04 2017-09-04 The frequency acquisition method that butterfly plate valve rod assembly inducing fluid vibrates in a kind of butterfly valve Pending CN107665273A (en)

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Publication number Priority date Publication date Assignee Title
DE102015206292A1 (en) * 2015-04-09 2016-10-13 Schaeffler Technologies AG & Co. KG Differential pressure valve for damping low-frequency vibrations in the hydraulic line of a clutch actuation system
CN105103774A (en) * 2015-09-14 2015-12-02 宁波大叶园林设备有限公司 Method for aerodynamic noise analysis based on computer value-assisted simulation
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Application publication date: 20180206