基于AMESim的开路式轴向柱塞泵特性仿真模型的建立

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Sep．2013机 床 与 液 压Hydromechatronics Engineering Vo1．41 No．18DOI：10．3969／j．issn．1001-3881．2013．18．019Characteristics Simulation of the Open—circuit Axial PlungerPump Based on AM EsimGAO Shuxiang ，CHEN Xiaohu，DING YaoSecond Artillery Engineering University，Xi’an 710025，Cnina1．IntroductionAbstract：In order to study the dynamic characteristics of the open-circuit axial piston pump，thesimulation models are built based on AMEsim Software on the basis of the mathematicaI model toobtain the experimentaI data．The relationship of the dynamic characteristics such as pressure，flow，swash plate angle，pulsating is analyzed，with the conclusion that the pressure of the sys。

tern must be adjusted appropriately to maintain the stability of the system.

Key words：open．circuit axiaI piston pump，characteristics simulation，AMEsimWith industrial development，the types of pumpare endless．So far，in allment pumps，piston pumptypes of positive displace—is the most ideal structureto achieve high pressure and speed．The open—circuitplunger pump theory is the first type of plungerpumps to achieve a self—cooling， self—lubricating，without the return lines，realized the series connec—tion of piston pump，which also create a new way tothe development of ultra—high pressure high flowpump，to reduce the temperature of the pump，to im—prove pump lubrication conditions and the life of thepump·LMS Imagine． Lab AMESim offers a complete1 D simulation suite to’model and analyze multi—do—main，intelligent systems and to predict their multi-disciplinary performance． The components of themodel are described by analytical models representingthe hydraulic。pneumatic。electric or mechanical be—havior of the system．To create the system simulationmodel in AMEsim，the user can make use of a largeset of validated libraries of pre-defined componentsfrom different physical domains．The software createsReceived：2013—02—11GAO Shuxiang．E—mail：gaoshuxiang88### 126．coma physics based model of the system．which doesn’trequire a full 3 D geometry representation． This ap‘proach gives AMEsim the capability to simulate thebehavior of intelligent systems long before detailedCAD geometry becomes available.

LMS Imagine．Lab ofers an extensive set of ap—plication specifc solutions which comprise a dedica—ted set of application libraries and focus on deliveringsimulation capabilities to assess the behavior of spe—cifc subsystems．The current portfolio includes solu—tions for internal combustion engines，transmissions，thermal management systems， vehicle systems dy·namics，fluid systems，aircraft ground loads，flightcontrols．and electrical systems．The solutions eom-bine strong simulation capabilities， effective inter·faces with leading CAE solutions and advanced toolsto study the static／dynamic functional behavior of anycomponent or system in a graphical，user-friendly en—vironment． 。

2．The establishment of mathematical model2．1．Open circuit piston pump structure andworking principleFig．1 is the open—circuit piston pump structurediagram．The plunger cylinder with port valve 1 andplunger 4 is distributed in the axial distribution in thepump body 2．There is a through hole in the center ofGAO Shuxiang，et al：Characteristics Simulation of the Open—circuitAxial Plunger Pump Based on AMEsim 95the plunger from where low-—pressure oil into the con-trol chamber．A retum spring is built in each plung—er．Sliding shoes are built in the head parts of theplungers．The pump body is fixed with the port plate6，side of which is with suction oil groove and thenther side is not.

PA1．port valve，2．pump，3．return
．
spring，4．plunger，5．slipper shoes，6．port plateFig．1 open—circuit piston pump structure diagramWhen port plate rotates driven by driving shaft，piston cylinder does a reciprocating linear motion.

Just at the opening when the plunger extends out-wardly with the suction window of this side of the portplate，the low-pressure oil with flow from the portplate on the window through the shoe into the plungercavity．When the plunger is compressed inwardly ，as there are no coordinate suction oil groove，the bot—tom of the port plate is blocked forming a sealedchamber．With the rotation of the shaft．the volumeof the sealed chamber decreases gradually with an in—creasing pressure．W hen the pressure reaches the o—pening pressure，the port valve is opened，thus thehigh—pressure oil output．As the shaft keeps rotating，a steady stream of high—pressure oil keepsoutputting.

2．2．The establishment of mathematical model1)Motion analysis of the plungerFig．2 is the kinematic diagram of the open-cir—cult axial plunger pump． Let the angle between theinclined port plate and the cross section of the pumpbody be JB，the ilustrated position which is the upperdead point of the plunger movement be a referencestarting point of the movement，the radius of the cir—cle which the plunger distributed be R.

① Displacement of the plungerThe extended length of the plunger when at theupper dead point is：0 = 2RtaLet the extended length be 1 when the plungerrotates an angle of ，the ~llowing equation canbe got：±堡 ：2R 0Then 1 can be computed by：1=Rta (1+cos )The displacement of the plunger is：△ = 0一 1=Rtanfl(1一cos )When the plunger is at the lower dead point，1 80。，the displacement of the plunger reaches themaximum and it is：Ax = 2RtaAlso Ax is the stroke of the plungerFig．2 The kinematic diagram of the open—circuit axial plunger pump② Speed of the plungerLet the angular velocity of the pump body be(D.

Make a differentiation of Ax with respect to t，thespeed of the plunger with respect to the pump bodycan be computed by：t3 = = ·警=1 3[∞tant ／-Js1’ng D=——= rJ儿d d‘p d ～?
When =詈。暑仃，the spedreaches the maxi—l ?l=RwtanflThe average speed of the plunger is：， 一 一 堡 望( 二竺 2“ 一 旦 一③ Acceleration of the plungerMake a differentiation of v with respect to t，theacceleration of the plunger with respect to the pumpbody can be computed by：。 = = · dt =Rto2ta cos ‘一 e0When 0 or丌，the speed reaches the maximum：I l=Rto taa ／'c) nIB lThe relationship among the displacement，veloc—ity，acceleration and angular is shown in Fig．3 andit is a regular pattern of Simple harmonic motion.

96 Hydromechatronics EngineeringV： ～～： ：?。 ：!／ ’ 2Fig．3 Kinematic characteristics of the open—circuit axial plunger pumps2)Flow analysis of the pump① Average flowWhen the shaft does a revolution，each cylindercompletes a suction oil and output process．The vol—ume change of a single cylinder is：AV = A ·Ax = 1 7rd RtaWhere：A-cross—section area of the plungers：d—di—ameter of the plunger.

Let the number of pump plunger bez，then thetheoretical displacement of the pump per revolutioncan be computed by：q0 = AV ·z= — 1 7rd RztaThe theoretical average flow can be computed by：Q。=2o
仃
J
·口。 =} d taConclusion can be made that the displacement ofthe pump is proportional to the tangent of the inclinedangle of the port plate．The flow of the pump can bechanged by changing the inclined angle of the portplate.

Practically，due to the existence of insuficientoil suction， leakage and other reasons， the actualflow the pump is lower than the theoretica1． Let thevolumetric eficiency of the pump be ，the actualflow of the pump is：1 .

Q =叩。Q0=— d 叼 zta-r② Instantaneous flowThere are muhiple plungers absorbing and dis—charging oil at the same time，so the instantaneoustheoretical flow is the sum of the flow of all th0seplungers which are discharging oil：Where：plungerare discQ isof NohargingQ =∑Qi=1Instantaneous theoretical flow of thei． is the number of the plunger thatoil.

The instantaneous flow of the plunger is：Q =A· =譬胁a sinWhere： is the axial speed of the plunger of No．i，is angular of the plunger.

Then，the following equation can be got：Also：QR= m 32 a sin譬 a 扣Let the number of the plunger be z，the anglebetween tw。adjacent plunger is卢：2
_=_
77"
． The f0ll。w—ing equation can be got：2= 1+ ， 3= 1+2 ，?， = 1+(i一1)JB，?2 ≤ i≤ zS0：m m ∑sinq~ =∑sin[ +(i—i=1 i=1Do some mathematical derivation；equation can be got：1) ]the following． 一 、2sin[ m-l Jsinl争。s州 ．1) — 3．Simulation modelBased on the above analysis about flow and ki—nematics characteristics of the open—circuit axialplunger pump，simulation modeling for single plungercan be made using AMEsim super origina1． It isshown as Fig．4.

Fig．4 Simulation modeling for single plunger4．The analysis of the simulation modelRespectively，the system pressure was set to be50，100，150 and 200 bar，curves of the inclinedangle of the port plate and the pump flow weredrawn．As shown in Fig．5 and 5，the inclined angleGAO Shuxiang，et al：Characteristics Simulation of the Open—circuitAxial Plunger Pump Based on AMEsim 97of the port plate is increased when the pressure in—creased．When the inclination angle increases，thedisplacement of the plunger becomes larger．Then，the absorbing and discharging function of the plungerenhanced．Then，the flow of the plunger increases.

Finally，the work efficiency of the pump increases.

But greater pressure leads to more pulsation． Thepulsation leads to the vibration of the port plate andnoise which can lead to the failure of the pistonpump．The pressure of the system must be appropri—ate to maintain the stability of the system while it isworking.

4003OO200l00O7 06 05 O4 03．O2 0l O00 0 2 0 4 0 6 0 8 l 0 l 2Fig．5 Pressure adjustment0 0．2 0 4 0 6 0 8 1 0 【_2Fig．6 Flow of the pumpReferences：f 1 l NIE Songlin，SHI Xueyuan，HU Bin，et．a1．Simulationon Status of Hydraulic Contamination and Optimum Col—location of Hydraulic Fihers in Hydraulic System『C]／／Proceeding of ISTP’2007．2OO7：1053—1056.

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基于 AMESim的开路式轴向柱塞泵特性仿真模型的建立高淑祥 ，陈小虎，丁 遥第二炮兵工程大学 ，西安 710025摘要：为了研究开路轴向柱塞泵的动态特性，在数学模型的基础上建立了基于AMESim的仿真模型，得到了实验数据。对动态特性之间的关系(如压力、流量、斜盘角度、脉动等)进行分析。结果表明：必须适当调整 系统的压力才能保持系统的稳定性。

关键词：开路式轴向柱塞泵；特性仿真；AMESim中图分类号：TH137