CN113482877B - Non-circular gear driven low-pulsation three-cylinder reciprocating pump - Google Patents

Non-circular gear driven low-pulsation three-cylinder reciprocating pump Download PDF

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CN113482877B
CN113482877B CN202110815192.1A CN202110815192A CN113482877B CN 113482877 B CN113482877 B CN 113482877B CN 202110815192 A CN202110815192 A CN 202110815192A CN 113482877 B CN113482877 B CN 113482877B
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fourier
reciprocating pump
cylinder
gear
piston
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CN113482877A (en
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刘大伟
吴涛
齐效文
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Yanshan University
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04B—POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS
    • F04B17/00—Pumps characterised by combination with, or adaptation to, specific driving engines or motors
    • F04B17/03—Pumps characterised by combination with, or adaptation to, specific driving engines or motors driven by electric motors
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04B—POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS
    • F04B1/00—Multi-cylinder machines or pumps characterised by number or arrangement of cylinders
    • F04B1/12—Multi-cylinder machines or pumps characterised by number or arrangement of cylinders having cylinder axes coaxial with, or parallel or inclined to, main shaft axis
    • F04B1/128—Driving means
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04B—POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS
    • F04B11/00—Equalisation of pulses, e.g. by use of air vessels; Counteracting cavitation
    • F04B11/005—Equalisation of pulses, e.g. by use of air vessels; Counteracting cavitation using two or more pumping pistons
    • F04B11/0058—Equalisation of pulses, e.g. by use of air vessels; Counteracting cavitation using two or more pumping pistons with piston speed control
    • F04B11/0066—Equalisation of pulses, e.g. by use of air vessels; Counteracting cavitation using two or more pumping pistons with piston speed control with special shape of the actuating element
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16H—GEARING
    • F16H37/00—Combinations of mechanical gearings, not provided for in groups F16H1/00 - F16H35/00
    • F16H37/12—Gearings comprising primarily toothed or friction gearing, links or levers, and cams, or members of at least two of these types
    • F16H37/124—Gearings comprising primarily toothed or friction gearing, links or levers, and cams, or members of at least two of these types for interconverting rotary motion and reciprocating motion
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16H—GEARING
    • F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
    • F16H55/02—Toothed members; Worms
    • F16H55/08—Profiling
    • F16H55/084—Non-circular rigid toothed member, e.g. elliptic gear

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  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Reciprocating Pumps (AREA)

Abstract

The invention provides a non-circular gear driven low-pulsation three-cylinder reciprocating pump, which is characterized in that a motor and a pair of mutually meshed Fourier non-circular gears are additionally arranged on the basis of not changing the structure of the three-cylinder reciprocating pump. The Fourier noncircular gears include a driving Fourier noncircular gear and a driven Fourier noncircular gear; the driving Fourier noncircular gear is sleeved on an output shaft of the motor; the driven Fourier noncircular gear is sleeved on a crankshaft of the three-cylinder reciprocating pump. The motor drives the crankshaft to rotate through a pair of Fourier noncircular gears, and the crankshaft drives the crank and the connecting rod to act; the connecting rod pushes the piston to reciprocate. The invention uniformly adjusts the motion rules of all pistons of the three-cylinder reciprocating pump through the pair of non-circular gears to drive the three-cylinder reciprocating pump in a variable speed manner, further stabilizes the fluid pulsation of the pump and solves the problem of large flow pulsation of the conventional three-cylinder reciprocating pump.

Description

Non-circular gear driven low-pulsation three-cylinder reciprocating pump
Technical Field
The invention belongs to the technical field of fluid transmission, relates to a three-cylinder reciprocating pump, and particularly relates to a low-pulsation three-cylinder reciprocating pump driven by a non-circular gear.
Background
The reciprocating pump is used as an important hydraulic transmission machine, has the advantages of high working pressure, good self-absorption performance, high reliability and the like, and is widely applied to the fields of oil refining transportation, petrochemical industry, ship military industry and the like. The conventional reciprocating pump has a periodic flow pulsation phenomenon due to its own structural characteristics, thereby generating vibration and noise. The use performance of the pump is reduced, and serious environmental pollution is caused, so that the design of the reciprocating pump with stable flow and high performance has great significance.
Patent document CN212717025U discloses a seven-cylinder plunger pump, in which 7 cranks, 7 plungers, and 7-cylinder valve boxes are connected to a crankshaft, each piston corresponds to 1-cylinder valve box and reciprocates in the valve box, and each piston is powered by the rotation of 1 crank to reciprocate. The seven-cylinder plunger pump homogenizes instantaneous fluid by increasing the number of cylinder bodies, has smaller fluid pulsation compared with reciprocating pumps with double cylinders, three cylinders, five cylinders and the like, but has a complex structure, and greatly improves the processing cost and the operation and maintenance cost.
Patent document No. CN105546046A discloses a combination structure of a non-circular gear set and a two-cylinder reciprocating pump, which uses a driving non-circular gear to drive two driven non-circular gears simultaneously, the two driven non-circular gears are respectively and fixedly connected with a crank of the two-cylinder reciprocating pump, and the non-linear transmission of the non-circular gears enables the two-cylinder reciprocating pump to synthesize uniform instantaneous flow, thereby greatly reducing the flow pulsation of the two-cylinder reciprocating pump. However, in the combined structure, each crank of the reciprocating pump is independently driven by a driven non-circular gear, and when the number of cylinders is increased, the structure of the transmission end is very complicated by applying the method, and the processing cost and the operation and maintenance cost are greatly increased.
In the paper "simulation and analysis of novel reciprocating pump driven by cam and sector-rack combination", published by heroic and Jun et al, the study is made to convert the rotary motion of the motor into the reciprocating motion of the piston with a certain motion rule by the combined action of the cam mechanism and the sector-rack mechanism. The cam mechanism works in the acceleration stage and the deceleration stage, and can meet the requirements on speed change in the reversing process of the reciprocating pump and the reversing process; the sector rack mechanism works at a constant speed stage, so that the time of heavy-load work of the cam mechanism is shortened. The method provided by the paper realizes the aims of small flow and pressure fluctuation of the reciprocating pump, long service life of a wearing part, simple reversing control and high reliability, but the movement phase of the piston assembly has certain error due to the influences of high manufacturing precision, installation error and the like of the cam and the toothed sector rack, so that the flow pulsation phenomenon still exists.
Dong Huanling et al in the paper "cam mechanism design in three-cylinder single-acting constant flow reciprocating pump", propose cam mechanism drive three-cylinder reciprocating pump, used in tertiary injection and polymer displacement of reservoir oil technology in oil exploitation, theory and test result show that this method can eliminate the fluid pulsation of the reciprocating pump by a wide margin, even can cancel the equipment such as the priming pump, suction buffer and pre-compressed air bag added in the original equipment because of fluid pulsation when using, however, the cam mechanism is apt to produce the problem of wearing and contact fatigue under high load, cause the three-cylinder reciprocating pump to work unstably, the life is short.
In addition, the hydraulic cylinder or the linear motor is used for directly driving the plunger, and the movement of the plunger is accurately controlled through the servo system, so that the weight of equipment can be reduced, and the fluid pulsation can be inhibited.
In summary, the following methods still exist for stabilizing the pulsation of the flow rate of the reciprocating pump by using the methods of parallel connection of the multi-cylinder pump, variable speed driving of the cam or the non-circular gear, and servo control at present: the equipment is huge due to the fact that multiple cylinders are connected in parallel, each cylinder body is driven by a cam or a non-circular gear in a variable speed mode, so that the structure of a mechanical end is complex, the servo control cost is high, the performance of a servo sensing system and a control algorithm have large influence on the pulsation stabilizing effect, stable uniform flow cannot be easily obtained, and the like.
Disclosure of Invention
In view of the above, it is an object of the present invention to provide a non-circular gear driven low pulsation three cylinder reciprocating pump. The low-pulsation three-cylinder reciprocating pump can greatly stabilize the instantaneous flow pulsation of the three-cylinder reciprocating pump only through a pair of non-circular gears on the premise of not changing the structure of the pump body, improve the uniformity of the instantaneous flow of the three-cylinder reciprocating pump to the maximum extent, suppress the vibration and noise of the pump body and a pipeline, and simplify the complexity of a pulsation stabilizing system of the three-cylinder reciprocating pump.
In order to achieve the purpose, the invention adopts the following technical scheme: the device comprises a crank, a crankshaft, a connecting rod, a piston cylinder, a piston, a motor and a pair of Fourier noncircular gears;
the first ends of the three cranks form an included angle of 120 degrees with each other and are fixed on the crankshaft, and the second ends of the three cranks are respectively hinged with one connecting rod; the second end of the connecting rod is connected with the piston which is arranged in the piston cylinder to push the piston to reciprocate;
said Fourier non-circular gear pair comprises a driving Fourier non-circular gear and a driven Fourier non-circular gear; the driving Fourier noncircular gear is sleeved on an output shaft of the motor; the driven Fourier noncircular gear is meshed with the driving Fourier noncircular gear and sleeved on the crankshaft;
the motor drives the crankshaft to rotate through the pair of Fourier noncircular gearsThe crank and the connecting rod are driven to move by the crankshaft; a transmission ratio function i of the pair of Fourier noncircular gears12Comprises the following steps:
Figure BDA0003169898810000021
in the formula (I), the compound is shown in the specification,
Figure BDA0003169898810000031
the angle of the driven Fourier noncircular gear is also the angle of the crankshaft of the three-cylinder reciprocating pump; n is1Order of the active Fourier non-circular gear, n1＝1；n2Order of driven Fourier non-circular gear, n 21,2 and 3 can be taken; k is the number of terms of a Fourier trigonometric function, and K is a positive integer; a isn，bnRespectively, the coefficients of the fourier trigonometric function.
Fourier trigonometric function coefficient a in transmission ratio function of Fourier noncircular gear pairnAnd bnThe determination method comprises the following steps:
s1, determining the flow Q of each cylinder of the three-cylinder reciprocating pump along with the crank angleiComprises the following steps:
Figure BDA0003169898810000032
in the formula, e is the length of a crank, L is the length of a connecting rod between the crank and a piston, A is the sectional area of the piston, i represents the number of a piston cylinder of the reciprocating pump, and i takes the values of 1,2 and 3;
s2, determining the instantaneous flow q of the three-cylinder reciprocating pump as follows:
Figure BDA0003169898810000033
in the formula, ω is the rotation speed of the motor;
s3, determining the ideal transmission ratio I of the Fourier noncircular gear pair12Comprises the following steps:
Figure BDA0003169898810000034
s4, determining trigonometric function coefficient a in Fourier noncircular gear pair transmission ratio functionnAnd bnComprises the following steps:
Figure BDA0003169898810000035
preferably, the value range of the number K of terms of the fourier trigonometric function is [1,6 ].
Preferably, when the pair of Fourier noncircular gears are installed, the longest radial of the driving Fourier noncircular gear is ensured to be aligned with the shortest radial of the driven Fourier noncircular gear of the higher order.
Compared with the prior art, the invention has the following advantages:
the invention drives the three-cylinder reciprocating pump in a variable speed manner by uniformly adjusting the motion rules of all pistons through a pair of non-circular gears on the basis of not changing the structure of the existing pump body, thereby stabilizing the fluid pulsation of the pump.
Drawings
FIG. 1 is a schematic diagram of a non-circular gear driven low pulsation three cylinder reciprocating pump of the present invention;
FIG. 2 is a schematic diagram of the non-circular gear driven low pulsation three cylinder reciprocating pump of the present invention;
FIG. 3A is a schematic perspective view of a Fourier non-circular gear pair for flow pulsation of a stabilizing three-cylinder reciprocating pump according to the present invention;
FIG. 3B is a top view of a Fourier non-circular gear pair for stabilizing flow pulsation in a three cylinder reciprocating pump according to the present invention;
FIG. 4 is a graph of instantaneous flow rate during a cycle of a single cylinder in accordance with a preferred embodiment of the present invention;
FIG. 5 is a graph of the instantaneous flow rate during one cycle of the reciprocating pump in accordance with the preferred embodiment of the present invention;
FIG. 6 is a graph of the preferred embodiment of the invention illustrating the desired gear ratio of the Fourier transform non-circular gear set for damping;
FIG. 7 is a graph of the true gear ratio of the suppressed Fourier non-circular gear pair in the preferred embodiment of the present invention;
FIG. 8 is a graph of the instantaneous flow rate of the three cylinder reciprocating pump after settling in accordance with the preferred embodiment of the present invention;
FIG. 9 is a schematic diagram of the instantaneous flow curves of the three-cylinder reciprocating pump before and after stabilization in different Fourier orders.
Reference numerals:
1. an electric motor; 2. an active Fourier non-circular gear; 3. a driven Fourier non-circular gear; 4. a crankshaft; 5. a crank; 6. a connecting rod; 7. a piston cylinder; 8. a piston.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be described clearly and completely in the following with reference to the accompanying drawings in the embodiments of the present invention. In the description of the present invention, it is to be understood that the terms "radial," "axial," "upper," "lower," "top," "bottom," "inner," "outer," and the like are used in the orientations and positional relationships indicated in the drawings for convenience in describing the present invention and simplicity in description, and do not indicate or imply that the referenced devices or elements must have a particular orientation, be constructed in a particular orientation, and be operated in a particular manner, and thus are not to be construed as limiting the present invention.
In the description of the present invention, it should be noted that, unless otherwise explicitly specified or limited, the terms "mounted," "disposed," and "connected" are to be construed broadly, e.g., as meaning either a fixed connection, a removable connection, or an integral connection; may be directly connected or indirectly connected through an intermediate. The specific meanings of the above terms in the present invention can be understood by those skilled in the art according to specific situations.
The invention discloses a non-circular gear driven low-pulsation three-cylinder reciprocating pump, which is additionally provided with a pair of Fourier non-circular gear pairs and a motor on the premise of not changing the structure of a three-cylinder reciprocating pump body, and mainly comprises the motor 1, a driving Fourier non-circular gear 2, a driven Fourier non-circular gear 3, a crankshaft 4, three cranks 5, three connecting rods 6, three piston cylinders 7 and three pistons 8 as shown in figures 1-3.
The driving Fourier noncircular gear 2 is sleeved on an output shaft of the motor 1, and the driven Fourier noncircular gear 3 is meshed with the driving Fourier noncircular gear 2; the driven Fourier noncircular gear 3 is sleeved on the crankshaft 4; one ends of the three cranks 5 form an included angle of 120 degrees with each other and are fixed on the crankshaft 4, and the other ends are respectively hinged with a connecting rod 6; the other end of the connecting rod 6 is connected with a piston 8 which is arranged in a piston cylinder 7.
The motor 1 rotates, a crankshaft 4 is driven to rotate through a pair of Fourier noncircular gears 2 and 3, the crankshaft 4 drives three cranks 5 connected with the crankshaft to move, the cranks 5 drive connecting rods 6 connected with the cranks to move, and the connecting rods 5 push pistons 8 to reciprocate.
In order to stabilize the flow pulsation generated when the three-cylinder reciprocating pump works and inhibit the vibration and noise of a pump body and a pipeline, the invention is additionally provided with a transmission ratio function i of a pair of Fourier noncircular gear pairs12Comprises the following steps:
Figure BDA0003169898810000051
in the formula (I), the compound is shown in the specification,
Figure BDA0003169898810000052
the angle of the driven Fourier noncircular gear is also the angle of the crankshaft of the three-cylinder reciprocating pump; n is1Order of the active Fourier non-circular gear, n1＝1；n2Order of driven Fourier non-circular gear, n 21,2 and 3 can be taken; k is the number of terms of the Fourier trigonometric function, K is a positive integer, and the value range of K is [1,6]]；an，bnRespectively, the coefficients of the fourier trigonometric function.
Therein, FuFourier trigonometric function coefficient a in inner lobe non-circular gear ratio functionnAnd bnThe determination method comprises the following steps:
s1, determining the flow Q of each cylinder of the three-cylinder reciprocating pump along with the crank angleiComprises the following steps:
Figure BDA0003169898810000053
in the formula, e is the length of a crank, L is the length of a connecting rod between the crank and a piston, and A is the sectional area of the piston; i represents the piston cylinder number of the reciprocating pump, i takes values of 1,2 and 3, i is 1 and represents the 1 st piston cylinder, i is 2 and represents the 2 nd piston cylinder, and i is 3 and represents the 3 rd piston cylinder.
S2, determining the instantaneous flow q of the three-cylinder reciprocating pump as follows:
Figure BDA0003169898810000054
in the formula, ω is the rotation speed of the motor;
s3, determining the ideal transmission ratio I of the Fourier noncircular gear pair12Comprises the following steps:
Figure BDA0003169898810000055
s4, determining trigonometric function coefficient a in Fourier noncircular gear pair transmission ratio functionnAnd bn：
Figure BDA0003169898810000061
In the preferred embodiment of the present invention, the main structural parameters of the non-circular gear driven low pulsation three-cylinder reciprocating pump of the present invention are shown in table 1.
TABLE 1 design parameters for the System
Figure BDA0003169898810000062
In the preferred embodiment of the present invention, the ratio function of the Fourier non-circular gear pair is:
Figure BDA0003169898810000063
in the formula, Fourier trigonometric function coefficient anAnd bnThe calculating method of (2):
s1, determining the flow expression of each cylinder of the three-cylinder reciprocating pump along with the crank angle as follows:
Figure BDA0003169898810000064
in the formula, e is the length of a crank, L is the length of a connecting rod between the crank and a piston, A is the sectional area of the piston, and i takes the values of 1,2 and 3;
the instantaneous flow rate curve in one cycle of a single cylinder as shown in fig. 4 can be calculated by the formula (7).
S2, determining the instantaneous flow q of the three-cylinder reciprocating pump as follows:
Figure BDA0003169898810000071
in the formula, ω is the rotation speed of the motor;
according to the formula (8), the instantaneous flow curve in one cycle of the three-cylinder reciprocating pump shown in fig. 5 can be calculated.
S3, determining the ideal transmission ratio I of the Fourier noncircular gear pair12Comprises the following steps:
Figure BDA0003169898810000072
the ideal gear ratio curve for the stabilizing non-circular gear as shown in fig. 6 is calculated using equation (9).
S4, determining trigonometric function system in Fourier non-circular gear pair transmission ratio functionNumber anAnd bnComprises the following steps:
Figure BDA0003169898810000073
from table 1 and equation (10), the ratio function coefficients of the non-circular gears in the preferred embodiment of the present invention are shown in table 2, and thus the actual transmission ratio of the non-circular gears for the suppression is shown in fig. 7.
TABLE 2 coefficient of transmission ratio function of non-circular gearn、bn
Figure BDA0003169898810000074
The equation for the non-circular gear pitch curve calculated from the fourier non-circular gear ratio is:
Figure BDA0003169898810000075
from table 1 and equation (11), it can be calculated that the pitch curve data of a pair of fourier non-circular gears in this example is shown in table 3, and the obtained non-circular gear pitch curve is shown in fig. 7.
TABLE 3A pair of Fourier non-circular gear pitch curve data
Figure BDA0003169898810000081
When a pair of Fourier noncircular gear pairs is installed, the longest radial of the driving Fourier noncircular gear is aligned with the shortest radial of the high-order driven Fourier noncircular gear. The instantaneous flow equation of the low-pulsation three-cylinder reciprocating pump at the moment is as follows:
Figure BDA0003169898810000082
where ω is the input speed of the motor, i12Is the fourier non-circular gear ratio.
The instantaneous flow rate comparison data before and after the stabilization can be obtained according to table 1 and equations (7), (8) and (12), respectively, as shown in table 4, and the corresponding curves are shown in fig. 8.
TABLE 4 comparison of instantaneous flow before and after settling data (L s)1)
Time t/s 0 0.0176 0.0353 0.0529 0.0706 0.0882 0.1059 0.1235 0.1412 0.1588
Flow before stabilization 10.7 9.1 8.4 10.2 11.2 10.9 11.2 10.2 8.4 9.1
Flow after stabilization 10.2 10.3 10.3 10.2 10.2 10.1 10.2 10.2 10.3 10.3
Time t/s 0.1765 0.1941 0.2118 0.2294 0.2471 0.2647 0.2824 0.3000 0.3176 0.3353
Flow before stabilization 10.7 11.3 11.1 11.0 9.7 7.6 9.7 11.0 11.1 11.3
Flow after stabilization 10.2 10.2 10.2 10.2 10.1 9.8 10.1 10.2 10.2 10.2
According to table 1 and the above formula, the flow curve when the non-circular gear and the Fourier order K take 2 and 4 can be respectively obtained as shown in the curve in fig. 9, and then the maximum flow and the minimum flow and the pulse rate of the reciprocating pump after the non-circular gear and the non-circular gear with different Fourier trigonometric function terms are driven and stabilized are obtained as shown in table 5.
TABLE 5 maximum and pulse Rate for reciprocating Pump with and without non-circular Gear drive
Maximum flow rate (L.s)1) Minimum flowAmount (L.s)-1) Pulse rate (%)
Non-circular gear 11.2 7.6 35.54
K＝2 10.4 9.5 8.92
K＝4 10.3 9.8 5.35
Therefore, after the three-cylinder reciprocating pump is driven in a speed-changing mode by additionally arranging the pair of Fourier noncircular gears, the flow pulsation condition of the three-cylinder reciprocating pump is greatly improved, the pulsation rate of the reciprocating pump is reduced along with the gradual increase of the number of terms of the Fourier trigonometric function, and the stabilizing effect is better. The reciprocating pump is driven by the pair of non-circular gears in a variable speed manner, so that the problem of flow pulsation of the reciprocating pump can be solved, the vibration and noise of the pump are reduced, and the stability of the reciprocating pump system is facilitated.
Finally, it should be noted that: the above-mentioned embodiments are only used for illustrating the technical solution of the present invention, and not for limiting the same; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some or all of the technical features may be equivalently replaced; and the modifications or the substitutions do not make the essence of the corresponding technical solutions depart from the scope of the technical solutions of the embodiments of the present invention.

Claims (2)

1. A non-circular gear driven low-pulsation three-cylinder reciprocating pump is characterized in that: the device comprises a crank, a crankshaft, a connecting rod, a piston cylinder, a piston, a motor and a pair of Fourier noncircular gears;
the first ends of the three cranks form an included angle of 120 degrees with each other and are fixed on the crankshaft, and the second ends of the three cranks are respectively hinged with one connecting rod; the second end of the connecting rod is connected with the piston which is arranged in the piston cylinder to push the piston to reciprocate;
said Fourier non-circular gear pair comprises a driving Fourier non-circular gear and a driven Fourier non-circular gear; the driving Fourier noncircular gear is sleeved on an output shaft of the motor; the driven Fourier noncircular gear is meshed with the driving Fourier noncircular gear and sleeved on the crankshaft;
the motor drives the crankshaft to rotate through the pair of Fourier noncircular gears, and the crankshaft drives the crank and the connecting rod to act; a transmission ratio function i of the pair of Fourier noncircular gears12Comprises the following steps:
Figure FDA0003546072270000011
in the formula (I), the compound is shown in the specification,
Figure FDA0003546072270000015
the angle of the driven Fourier noncircular gear is also the angle of the crankshaft of the three-cylinder reciprocating pump; n is1Order of the active Fourier non-circular gear, n1＝1；n2Order of driven Fourier non-circular gear, n21,2 and 3 can be taken; k is the number of terms of a Fourier trigonometric function, and is a positive integer; a isn，bnRespectively, the coefficients of the Fourier trigonometric function;
fourier trigonometric function coefficient a in transmission ratio function of Fourier noncircular gear pairnAnd bnThe determination method comprises the following steps:
s1, determining crank associated with each cylinder of three-cylinder reciprocating pumpFlow rate of corner QiComprises the following steps:
Figure FDA0003546072270000012
in the formula, e is the length of a crank, L is the length of a connecting rod between the crank and a piston, A is the sectional area of the piston, i represents the number of a piston cylinder of the reciprocating pump, and i takes the values of 1,2 and 3;
s2, determining the instantaneous flow q of the three-cylinder reciprocating pump as follows:
Figure FDA0003546072270000013
in the formula, ω is the rotation speed of the motor;
s3, determining the ideal transmission ratio I of the Fourier noncircular gear pair12Comprises the following steps:
Figure FDA0003546072270000014
s4, determining trigonometric function coefficient a in Fourier noncircular gear pair transmission ratio functionnAnd bnComprises the following steps:
Figure FDA0003546072270000021
2. a non-circular gear driven low pulsation, three cylinder, reciprocating pump as defined in claim 1 wherein: and the value range of the term number K of the Fourier trigonometric function is [1,6 ].
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CN206617288U (en) * 2016-08-23 2017-11-07 刘永海 A kind of speed change double action for reciprocating pump
CN107387355A (en) * 2017-09-01 2017-11-24 西南石油大学 Tooth fans rack-and-pinion reciprocating pump
CN107795449B (en) * 2017-11-28 2024-03-12 西南石油大学 Cam-limited toothed sector rack type reciprocating pump
CN110454348B (en) * 2019-09-13 2024-06-28 西南石油大学 Ultra-long stroke multi-cylinder reciprocating pump
CN110879910B (en) * 2019-11-21 2023-05-26 燕山大学 Closed non-circular gear pair with transmission ratio of Fourier series

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