擺線泵泵站設計方案計算說明書

1、擺線泵泵站設計計算說明書1 .前言擺線泵是一種內嚙合齒輪泵，具有結構緊湊，容積效率高，工作平穩(wěn)等特點，在動力機械、機床、和許多輕工業(yè)機械中被廣泛應用。參閱相關的論文，目前很少有能直接用于擺線泵理論排量精確計算的數學模型，所論述的外轉子非嚙合區(qū)齒廓以銳角轉折，不便于制造。為此，根據嚙合傳動原理，導出擺線泵的齒廓坐標計算的數學公式，并得出了理論排量計算的數學公式，便于從事擺線泵設計和制造的同行直接引用 。2 . 設計原始參數直流電機轉速為 8000r/min, 行星齒輪轉動比 6.0, 中心距 a=2.2, 油壓8Mpa。3 擺線泵泵站的結構概述擺線泵是一種為輸送液質流體而提供中、低壓力的裝置，它

2、與漸開線齒輪泵比較，在相同的結構尺寸條件下具有流量大的優(yōu)點。圖1中繪出擺線泵的三個構件，在座圈上切制了容納擺線嚙合副的圓柱形凹坑，鉆出進液孔和出液孔，并且還制出兩個圓弧形構槽，作為進液區(qū)和出液區(qū)。進液孔和出液孔分別與閥板連通。另有一個端蓋將擺線嚙合副密封< 圖中未畫出）。在端蓋上有，供驅動軸通過并與擺線齒輪鍵銷聯接。13 / 15圖1擺線泵的主要構件電動機的轉速經一級漸開線行星齒輪機構減速后，使擺線齒輪的驅動軸低 速回轉，帶動擺線泵運轉。圖2中繪出擺線泵的嚙合過程，其中擺線齒輪 的齒數為8,分齒角為45o,圖示的每步轉角9o；圓弧齒圈的齒數為 9,在 擺線齒輪的推動下，每步對應回轉角 8

3、0注：實際運行是連續(xù)回轉，而不 是步進回轉）。當擺線齒輪的轉角為 45o時，完成一對輪齒的嚙合傳動全 過程。從圖2中可以看出：在水平中心線的上方，擺線齒輪與內齒圈之間 的齒間空腔逐漸增大，產生負壓，因而能經由管道從儲液箱吸入油液或其 它液態(tài)工質；在水平中心線的下方，齒間空腔逐漸減小，從而使已存貯在 齒間空腔內的液態(tài)工質的壓力增大并輸出。液態(tài)工質的工作壓力由后續(xù)的 液壓系統(tǒng)中的溢流閥或調壓閥控制。圖2擺線泵的嚙合過程擺線泵的總體結構如圖3所示，電動機經一級漸開線行星減速機構降速 驅動擺線泵的擺線嚙合副工作，擺線泵上附有低壓液體進液管、溢流閥和高 壓液體出口接頭等相關配件。電動視圖3擺線泵站的總體

4、結構4電動機主要參數選擇直流電機轉速為8000r/min5漸開線行星減速傳動機構設計漸開線行星齒輪傳動設計時必須滿足以下 4項準則要求：1傳動比條件一在選配中心齒輪和內齒圈的齒數時，必須滿足傳動比求。2同中心距條件一即行星齒輪與內齒圈的中心距和行星齒輪與中心齒輪的中心距必須相等。3多個行星齒輪均勻分布條件一即必須保障多個行星齒輪能夠被均勻安裝在行星架上，并能與內齒圈和中心齒 輪正確嚙合。4不鄰接條件一行星齒輪數量在三個以上時，必須防止相鄰的行星齒輪不干涉。5.1 齒數、模數和行星齒輪數目確定（1為滿足準則1）,漸開線行星減速機構的傳動比按下式計算KI <1)根據輸入和輸出轉速的要求，即可

5、按式設計確定中心齒輪1和齒圈3的齒數,即=12（6-1=602）行星齒輪2可按下式計算確定=(60-12>/2=245.2 變位傳動設計計算求得的目值若非整數，應取鄰近的整數。為滿足準則 2）的要求，可分兩種情況處理：如按上式求得的 目值是整數，則必然滿足準則2）的要求，齒輪可以采用標準齒輪，也可以采用變位齒輪；如 0值是經圓整后整數，則必須采用變位齒輪才能滿足準則2）的要求。5.3 齒輪幾何尺寸計算1）確定模數和齒數根據結構尺寸要求，初選齒輪的模數 m。根據傳動比和設置行星齒輪的 數量，按式2）和4）計算確定 齒數4、Z3,然后按式3）計算行星齒 輪2的齒數Z2。確定齒數Z1、Z2、Z

6、3的過程是一個反復分析比較的過程，力求 獲得一組優(yōu)化的數據。齒形標準參數為刀具角a=20。、齒頂高系數ha* =1.0、頂隙系數c =0.25。2）變位齒輪傳動設計和主要幾何尺寸計算 計算中心距：兩對齒輪的標準中心距為=0.5(12+24> =18=0.5(60-24>=18根據同中心距條件，取3）計算嚙合角=34.4017794）計算變位系數=34.401779=1.1782269=-0.78548式中漸開線函數按下式計算=0.0387288=0.014904I =0.038729角度值以弧度計。根據求得的目和 日值，可適當分配回、目、H在確定各變位系數值時，必須顧及不發(fā)生根切的

7、條件和齒頂不變尖條件5.4 齒輪齒廓的漸開線坐標計算及齒形繪制繪中心齒輪1的齒廓數據5.63815572471545,05.75008134290669,0.01503337220067825.86188875235798,0.04297290480667495.97345896361471,0.07976763684788636.08467220523171,0.124060300378546.1954080010376,0.1751054778250596.305545248013,0.2324225988258336.41496229474006,0.2956726142378936.5

8、2353702038017,0.3646013811034196.63114691413643,0.4390095661846586.73766915515729,0.5187350108272596.84298069283727,0.60364164873626.94695832747058,0.6936121631718167.04947879121315,0.788542915567917.1504188293083,0.8883403238268837.24965528153119,0.992918203832047.34706516380699,1.102195772738217.4

9、4252574995746,1.216096120002887.53591465353061,1.33454501716114繪行星齒輪 2 的齒廓數據11.2763114494309,011.4001953361241,0.0123170418737174 11.5240392431066,0.0350453055146745 11.647803037881,0.0647611895712032 11.7714464284603,0.100286119335273 11.8949289713092,0.14095930725264 12.0182100793241,0/p>

10、0581 12.1412490298504,0.23614152537409112.2640049727352,0.290107712209718 12.3864369384149,0.348062910674708 12.5085038460359,0.409859058743585 12.6301645116067,0.47537369652381712.7513776561805,0.5445035999650712.8721019140672,0.617160356918666 12.9922958410725,0.693267187854828 13.1119179227637,0.

11、772756596795397 13.2309265827596,0.855568594758175 13.3492801910448,0.9416493292463613.4669370723055,1.0309500087245繪內齒輪 3 的齒廓數據29.7764055171656,0.366142640407343 29.9225206064648,0.41919877571581 30.0685088430429,0.47478918006343 30.2143593751647,0.53284027583126130.3600613350851,0.593287444870376

12、30.5056038395319,0.656073432512238 30.65097599019,0.721147115895161 30.796166874187,0.78846253657179930.9411655645785,0.85797812896713 31.0859611208359,0.929656096705487 31.2305425893335,1.00346190242801 31.3748990038378,1.07936384599347 31.5190193859964,1.15733271241207 31.662892745829,1.2373414754

13、459631.8065080822183,1.3193650461205431.949854383402,1.4033800578196332.0929206274655,1.48936468144439 32.2356957828354,1.5772984654775432.3781688087738,1.667162196833175.5 行星傳動嚙合狀態(tài)檢驗采用多個行星齒輪能提高傳動機構的負荷能力，但必須滿足上述準則3）和準則4） o設行星齒輪的數量為 囤，根據準則3）的要求，必須按下式校核計算，并 調整可、目和可值。a=(60+12>/3=24 為整數根據準則4）的要求，必須滿足

14、條件式<5)（12+24>sin（兀/3>=31.167> 281）避免產生根切。要求選定的變位系數不小于齒輪不產生根切最小變位系數。2）避免齒頂變尖。要求選定的變位系數不能太大，過大的變位量會導致齒輪的 齒頂厚度縮小為零值甚至為負值，這是不允許的。3）各齒輪的變位系數值按無側隙嚙合方程式計算確定。4）繪制嚙合狀態(tài)圖為了檢查設計計算的正確性，應用excel軟件計算漸開線齒廓坐標，再應用 autocad平臺繪制齒輪截面圖，并將齒輪截面圖安裝成行星星傳動機構的嚙合狀態(tài)圖。在嚙合狀態(tài)圖中齒廓不得相交，也不能存在間隙。漸開線齒廓的坐標計算漸開線方程為I I基圓半徑為，在基圓上漸

15、開線的壓力角為0° ,從基圓開始計算漸開線的直角坐標值為目值從0°開始，按取定的計算步長，逐次計算出漸開線齒廓的坐標值。應用auto cad平臺繪制齒輪嚙合狀態(tài)圖。6擺線泵設計計算6.1 擺線泵的結構參數設定齒數：圓弧齒圈齒數 乙二9,擺線齒輪齒數Zi=8、圓弧齒圈的齒面圓弧半徑R=22齒面圓弧中心的分布圓半徑R=3.8、圓弧齒圈和擺線齒輪的嚙合中心距即偏心距）e=2.26.2 擺線齒輪齒廓坐標計算繪擺線齒輪的齒廓數據16,7.35089072945172E-1616.0357106774063,0.5218730013113716.1360998539109,1.0121

16、547484420716.2840784658746,1.4480184428295716.4590906695013,1.8191087959856416.6430838831946,2.1257343922557816.8232215868005,2.3745859084711616.9918732195284,2.5748315779644917.1453747404737,2.7356691652784417.2826380951163,2.8651867914663917.4040560660934,2.9700334179820317.510770065953,3.05548267

17、79918817.6042275464505,3.125642008395417.6859347513672,3.1836859389852517.7573297082895,3.2320647159048417.8197248578449,3.2726744947539617.8742879999238,3.3069900489377817.922043141355,3.3361658941145217.9638808135438,3.361112503136318.0005721509342,3.382553520058818.0327837328553,3.401068723720481

18、8.0610917121872,3.417126386121218.085994587031,3.4311077561365818.0973064486072,3.4374198558636818.1079244135602,3.4433256893522518.1272564817092,3.454038911888418.1443175787661,3.4634630127632718.159393004926,3.4717789714719418.1727325105912,3.4791398174117518.1845553148839,3.4856758644934718.19505

19、434779,3.4914988521381718.2043998394807,3.4967052415167218.2127423621058,3.5013788551435118.2202154128194,3.5055930028875318.2269376123469,3.5094122038694818.2330145810718,3.5128935885160818.2385405442192,3.516088046031618.2435997090346,3.5190411681195318.2482674496465,3.5217940287739618.25261132932

20、8,3.5243838315060518.2566919849415,3.5268444488430218.2605638942674,3.5292068738704418.2642760435505,3.5314995996337518.2678725098058,3.5337489391127518.2713929701136,3.5359792960367918.2748731482173,3.5382133948700418.2783452071386,3.5404724767538418.2818380951969,3.5427764669588218.2853778517063,3

21、.5451441184086718.2889878776953,3.5475931350377918.2926891762108,3.5501402780973818.2965005661137,3.5528014579976518.300438872715,3.555591813843818.3045190981369,3.5585257824710318.3087545738825,3.5616171584935718.3131570977626,3.564879146643818.3177370570383,3.5683244074789718.3225035393949,3.57196

22、50973685618.3274644331507,3.5758129035378118.3326265179255,3.579879074828418.3379955468374,3.5841744487406118.3435763211648,3.5887094752406518.349372758294,3.5934942377482618.355387953673,3.5985384716620318.3616242374086,3.6038515807308418.3680832260635,3.6094426515381418.3747658701514,3.61532046633

23、02618.3816724977653,3.621493514389718.3888028547291,3.627970002128118.3961561416149,3.6347578620516518.4037310479346,3.6418647607320718.4115257837775,3.6492981059001418.4195381091368,3.6570650527641818.4277653611444,3.6651725096435818.4362044794063,3.6736271429967618.4448520296148,3.682435381913618.

24、4537042255918,3.6916034221341518.4627569499057,3.7011372296484318.4720057731866,3.7110425439259618.481445972254,3.7213248808179718.4910725471596,3.7319895351708618.5008802372376,3.7430415831848818.5108635362456,3.7544858845486718.521016706672,3.7663270843767718.5313337932792,3.778569614974518.541808

25、6359424,3.7912176974519218.5524348818429,3.8042753432065618.5632059970642,3.8177463552923918.5741152776404,3.8316343296906918.5851558600958,3.8459426564972618.5963207315174,3.8606745210384418.6076027391924,3.8758329049277418.6189945998447,3.8914205870732518.6304889084989,3.907440144645318.6420781469

26、974,3.923893954012918.6537546921971,3.9407841916564918.6655108238652,3.9581128350640218.6773387322974,3.9758816636166718.6892305256739,3.9940922594697818.701178237173,4.0127460084342318.7131738318568,4.0318441008629218.7252092133423,4.0513875325464818.7372762302732,4.0713771056222418.7493666826025,4

27、.0918134294996818.7614723276975,4.1126969218056818.7735848862785,4.1340278093523118.7856960481983,4.1558061291298318.7977974780729,4.1780317293270518.8098808207702,4.2007042703813118.8219377067648,4.2238232260598818.8339597573643,4.2473878845743818.8459385898141,4.2713973497300218.857865822286,4.295

28、8505421106118.8697330787556,4.320746200300918.8815319937736,4.346082882147118.8932542171343,4.371858966056618.9048914184467,4.3980726523376918.9164352916105,4.4247219645800518.9278775592018,4.4518047510764418.9392099767668,4.479318686286418.9504243370391,4.507261272342118.9615124740621,4.53562984059

29、68518.9724662672399,4.5644215532165318.9832776453063,4.5936334048140818.9939385902174,4.6232622241272119.0044411409699,4.6533046757394719.014777397346,4.6837572618445219.0249395235868,4.7146163240538119.0349197519946,4.7458780452473119.0447103864673,4.7775384514673219.054303805963,4.8095934138551719

30、.0636924678987,4.8420386506304119.0728689114824,4.8748697291124619.0818257609787,4.9080820677841819.0905557289112,4.9416709383971519.0990516191989,4.9756314681182519.1073063302303,5.0099586417170519.1153128578732,5.0446473037936219.1230642984222,5.0796921610463419.1305538514839,5.1150877845789819.13

31、77748227992,5.1508286122467719.1447206270043,5.1869089510407719.1513847903296,5.2233229795098619.1577609532376,5.2600647502199619.1638428729989,5.297128192249619.1696244262067,5.3345071137213719.1750996112312,5.3721952043684519.1802625506113,5.4101860381355519.1851074933867,5.4484730758135519.189628

32、8173679,5.4870496677071419.193821031345,5.5259090563345519.1976787772362,5.5650443791588119.2018968321746,5.6044486713495619.2043701105332,5.6441148685747219.2071936658898,5.6840358098210719.2096626929293,5.7242042402431519.2117725292856,5.7646128140392519.2135186573208,5.8052540973540319.2148967058

33、439,5.8461205712065519.2159024517667,5.8872046344430519.216531821699,5.9284986067134919.2167808934806,5.9699947314708619.2166458976521,6.0116851789925519.2161232188634,6.0535620494225619.2152093972196,6.0956173758338919.2139011295654,6.137843127309919.2121952707058,6.180231212043919.2100888345657,6.2227734804558219.2075789952857,6.2654617283251319.2046630882561,6.3082876999388519.2018386110881,6.3512430912538619.1976032245212,6.3943195530723319.1934547532697,6.4375086942293919