滾動轉子壓縮機的設計

1、一、 設計條件 設計題目：設計一臺家用空調全封閉滾動轉子式制冷壓縮機 要求：熱力計算和動力計算 （轉子受力分析 ），做出結構簡圖 設計條件：汽缸直徑 D（ mm）： 54相對氣缸長度： 0.8 相對偏心距： 0.09 滑片厚度 b2e 相對余隙容積 c： 1.2 吸氣孔口前邊緣角： 3035° 轉速 n：2980r/min 制冷劑： R410a： 計算四種工況： 標準工況； T05oC； T115 oC；Tk 55 oC； T4 50 oC； 最大壓差工況； T0 5oC；T1 15 oC； Tk 50oC； T445 oC； 最大軸功率工況； T0 5oC；T115 oC； Tk

2、45 oC；T440 oC； 設計工況： T07.2oC； T118.3 oC； Tk 54.4 oC； T446oC；二、 滾動轉子示意圖 轉子軸向長度 L=D* =54*0.8=43.2mm 偏心距 e=R* =0.5D* =0.5*54*0.09=2.43mm 轉子的半徑 r=R-e=0.5*54-2.43=24.57mm 滑片厚度 b 取 2e，則 b=2e=2*2.43=4.86mm 吸氣孔口前邊緣角： 32° 吸氣后邊緣角： 22° 排氣后邊緣角： 32° 排氣前邊緣角： 22°三、 熱力計算1. 四種工況的溫度表，如下T0（）T1（）Tk（

3、）T4（）標準工況5155550最大壓差工 況-5155045最大軸功率 工況-5154540設計工況7.218.354.446各種工況循環(huán)的 p-h 圖：2. 熱力計算，如下表：R410a標準 工況最大壓 差工況最大軸 功率工 況設計 工況p1 ps0 /MPa0.9320.6800.6800.996p2 pdk /MPa3.3963.0332.7013.351壓力比pdkpso3.6444.4603.9723.364v1 vs0(/ m3 ?kg 1)0.0300.0440.0440.029v2 (/ m3 ?kg 1)0.0090.0110.0120.009h1(/ kJ?kg 1)43

4、5.51439.52439.52437.41h2 (/ kJ?kg 1)473.48486.55482.75473.10h4 (/ kJ?kg 1)292.19280.72270.02282.96等熵指數 = =cp =1.16由 r410a cv的性質經計算求得1.161.161.161.16壓縮多變指數 n ln( p2 / p1)ln(v1 /v2)1.0741.0781.0621.036工質單位質量制冷量q0mh1 h4（/ kJ ?kg-1）143.32158.80169.50154.45單位等熵壓縮功 ts -1h2 h1 （/ kJ?kg-1）37.9747.0343.2335.

5、69理論容積輸氣量qvt60n (D2 d2 )L(/ m3 ?h 1)3.043.043.043.04v1容積系數pdk k1 c 1pso0.970.970.970.98壓力系數 p （通常認為 p 近似等 于 1 ）1111溫度系數 T（通常，當壓力比 =28時， T =0.950.82，壓力比高時取下 限）0.900.900.900.90泄漏系數 l （轉速為 3000r/min 時，l 約為 0.820.92 范圍）0.880.880.880.88回流系數 h （一般近似取 1）1111容積效率 v v p T l h0.770.770.770.78實際質量輸氣量qma vq'

6、; vt /(kg ? h-1) v178.0353.2053.2080.72制冷量 Qo qmaqom /kW o 36003.1062.3472.5053.463等熵壓縮功率 Pts qma ts /kW ts 36000.8230.6950.6390.800pdkpdpso - ps 其中ps 0， pd 0.1pdk4.0084.9064.3693.701T l ( 1 1) 指示效率 i 1 n n ' n n ( 'n 1 1) n10.770.780.780.78P 指示功率 Pi Ptsi1.070.890.821.03機械效率 m（ m =0.400.85）0

7、.80.80.80.8電動機效率 mo （小冰箱 mo 0.65， 商用制冷機 mo 0.8 ）0.70.70.70.7電效率 el i m mo0.600.500.460.58電功率 Pel (Pts / el)/kW1.371.391.391.38性能系數（相對功率） COPel Q0 el Pel2.271.691.802.51四、轉子受力分析1）壓縮過程中基元容積內的氣體壓力0.25 sin2 n0.25 sin2 p (2 )(0.5 ) (1)sinps0 (2 )(0.5 ) (1 )sin2）作用于滾動轉子上的氣體力合力Fg RL(1)(pps0) 2(1cos3）作用于滾動轉

8、子上的阻力矩 MM g Fg1R2旋轉力矩Mg1 R2L (12)(p摩擦力矩Mf19550Pi (1)1nmn) 1 (1 cos2 )M g M fps0) 2(1 cos ) 1 (1 cos2 )五、氣體合力及阻力矩隨轉角的變化曲線標準工況PFgMgMfM00.932000.8572570.85725750.93200.00000000000.8572570.857257100.93200.00000000000.8572570.857257150.93200.00000000000.8572570.857257200.93200.00000000000.8572570.8572572

9、50.93200.00000000000.8572570.857257300.93200.00000000000.8572570.857257350.9335711.0895260.00086479130.8572570.858122400.9368363.8056160.00342799110.8572570.860685450.9409987.9025950.00794496960.8572570.865202500.94615813.694710.01516347630.8572570.87242550.95241721.514080.02595038300.8572570.883207

10、600.95987631.707350.04128323470.8572570.89854650.96863844.632860.06223904750.8572570.919496700.97880860.658490.08998121650.8572570.947238750.99049480.160290.12574541200.8572570.983002801.003812103.521808572571.028082851.018884131.13410.22655898900.8572571.083816901.035839163.3970.294316

11、56990.8572571.151573951.054821200.72050.37548990900.8572571.2327471001.075985243.52770.47148461490.8572571.3287411051.099502292.25810.58371487110.8572571.4409721101.125563347.37190.71360125830.8572571.5708581151.154379409.35580.86257169690.8572571.7198281201.18619478.72861.03206551770.8572571.889322

12、1251.221265556.04911.22354057210.8572572.0807971301.259906641.92411.43848322030.8572572.295741351.302462737.01861.67842097680.8572572.5356781401.349325842.06651.94493756350.8572572.8021941451.400948957.88322.23969011330.8572573.0969471501.4578491085.3812.56442829170.8572573.4216851551.5206271225.584

13、2.92101515340.8572573.7782721601.5899721379.6513.31144963580.8572574.1687061651.6666881548.8923.73789070520.8572574.5951471701.7517111734.8034.20268332260.8572575.059941751.8461361939.0894.70838658070.8572575.5656431801.9512472163.7065.25780459280.8572576.1150611852.0685612410.9045.85402098590.85725

14、76.7112781902.1998772683.2816.50043817980.8572577.3576951952.3473332983.8487.20082302940.8572578.058082002.5134943316.1127.95936089010.8572578.8166182052.7014423684.1698.78072075710.8572579.6379772102.914914092.8349.67013487440.85725710.527392153.1584494547.79410.63349715350.85725711.490752203.39649

15、71.78811.48343773270.85725712.340692253.3964902.02811.16344428640.85725712.02072303.3964823.63510.80924974620.85725711.666512353.3964736.51110.42230690850.85725711.279562403.3964640.56910.00435556740.85725710.861612453.3964535.7349.55744588850.85725710.41472503.3964421.9549.08395716240.8572579.94121

16、42553.3964299.1998.58661074820.8572579.4438672603.3964167.4698.06847616700.8572578.9257332653.3964026.7977.53296948350.8572578.3902262703.3963877.2516.98384332800.8572577.84112753.3963718.9386.42516814800.8572577.2824252803.3963552.0075.86130453310.8572576.7185612853.3963376.6515.29686672470.8572576

17、.1541232903.3963193.1084.73667768770.8572575.5939342953.3963001.6648572575.0429733003.3962802.6383.64905813890.8572574.5063153053.3962596.41638572573.9890663103.3962383.4132.63903686040.8572573.4962943153.3962164.09228572573.0329533203.3961938.9571.74655717380.

18、8572572.6038143253.3961708.5471.35612781830.8572572.2133853303.3961473.4411.00858488170.8572571.8658423353.3961234.2480.70770407170.8572571.5649613403.396991.60430.45679723500.8572571.3140543453.396746.17040.25865610010.8572571.1159133503.396498.62680.11550422620.8572570.9727613553.396249.66830.0289

19、5833770.8572570.8862153603.39600.00000000000.8572570.857257最大壓差工況PFgMgMfM00.68000.7130450.71304550.6800.00000000000.7130450.713045100.6800.00000000000.7130450.713045150.6800.00000000000.7130450.713045200.6800.00000000000.7130450.713045250.6800.00000000000.7130450.713045300.6800.00000000000.7130450.7

20、13045350.6811510.7978960.00063331560.7130450.713679400.6835422.7869980.00251044870.7130450.715556450.6865895.787420.00581845260.7130450.718864500.69036810.029340.01110499790.7130450.72415550.69495315.756070.01900504230.7130450.73205600.70041623.221560.03023466430.7130450.74328650.70683332.688390.045

21、58288430.7130450.758628700.71428244.426190.06590210620.7130450.778947750.72284258.71060.09209782150.7130450.805143800.73259875.822830.12511819990.7130450.838164850.74363896.049770.16594414490.7130450.878989900.75606119.68470.21558032910.7130450.928626950.769967147.02850.27504764830.7130450.988093100

22、0.785473178.39180.34537744670.7130451.0584231050.802706214.09740.42760777540.7130451.1406531100.821803254.48350.52278185670.7130451.2358271150.842922299.90770.63194884020.7130451.3449941200.866238350.75170.75616685720.7130451.4692121250.891949407.42630.89650831170.7130451.6095541300.920278470.37821.

23、05406729160.7130451.7671131350.951479540.09691.22996894110.7130451.9430141400.985844617.12271.42538061440.7130452.1384261451.023704702.05651.64152462920.7130452.354571501.065441795.571.87969244960.7130452.5927381551.111495898.418727130452.8543051601.1623751011.4562.42770526320.7130453.1

24、407511651.2186741135.6492.74062451770.7130453.453671701.281081272.13.08175345460.7130453.7947991751.3503991422.0693.45298733270.7130454.1660331801.4275791586.9983.85640427720.7130454.569451851.5137391768.5494.29429113970.7130455.0073361901.6102021968.6414.76917298180.7130455.4822181951.7185492189.55

25、.28384736330.7130455.9968932001.8406682433.7155.84142497700.7130456.554472051.9788362704.3186.44537861510.7130457.1584242102.135813004.877.09960301130.7130457.8126482152.3149473339.5787.80848880890.7130458.5215342202.5203693713.4448.57701482730.7130459.290062252.757174132.4459.41086400810.71304510.1

26、23912303.0316924603.77610.31657004620.71304511.029622353.0334523.1389.95279551780.71304510.665842403.0334431.5179.55367234170.71304510.266722453.0334331.4059.12689536350.7130459.8399412503.0334222.7518.67473668960.7130459.3877822553.0334105.5268.19979508550.7130458.912842603.0333979.737.70500179420.

27、7130458.4180472653.0333845.3957.19361899130.7130457.9066642703.0333702.5866.66923025600.7130457.3822762753.0333551.40467130456.8487682803.0333391.9945.59726037590.7130456.3103062853.0333224.5375.05824975780.7130455.7712952903.0333049.2624.52329650940.7130455.2363422953.0332866.443.99715

28、529720.7130454.7102013003.0332676.3833.48467280880.7130454.1977183053.0332479.4512.99072526910.7130453.7037713103.0332276.0442.52015167710.7130453.2331973153.0332066.6032.07768416970.7130452.7907293203.0331851.6091.66787704130.7130452.3809223253.0331631.5791.29503602130.7130452.0080813303.0331407.06

29、50.96314944260.7130451.6761953353.0331178.6470.67582292240.7130451.3888683403.033946.93380.43621911280.7130451.1492643453.033712.55640.24700397870.7130450.9600493503.033476.16430.11030091080.7130450.8233463553.033238.42110.02765380220.7130450.7406993603.03300.00000000000.7130450.713045最大軸功率工況PFgMgMf

30、M00.68000.6569630.65696350.6800.00000000000.6569630.656963100.6800.00000000000.6569630.656963150.6800.00000000000.6569630.656963200.6800.00000000000.6569630.656963250.6800.00000000000.6569630.656963300.6800.00000000000.6569630.656963350.6811340.7860440.00062390790.6569630.657587400.6834892.7455260.0

31、0247309250.6569630.659436450.6864915.7011130.00573168250.6569630.662695500.6902139.8793710.01093894260.6569630.667902550.69472815.51970.01871993090.6569630.675683600.70010822.871850.02977934220.6569630.686742650.70642732.193910.04489335110.6569630.701856700.71376143.75070.06490008110.6569630.7218637

32、50.72218757.812710.09068933270.6569630.747652800.73178874.655650.12319218570.6569630.780155850.74265194.560440.16337104630.6569630.820334900.754871117.81390.21221064740.6569630.869174950.768548144.710.27071043330.6569630.9276741000.783794175.55160.33987867530.6569630.9968421050.800732210.65310.42072

33、857360.6569631.0776921100.819496250.34320.51427651260.6569631.171241150.84024294.96920.62154254900.6569631.2785061200.863132344.90070.74355313230.6569631.4005161250.888364400.53560.88134599090.6569631.5383091300.916154462.30551.03597705690.6569631.692941350.946747530.68251.20852926340.6569631.865492

34、1400.980424606.18741.40012302450.6569632.0570861451.017507689.39851.61192820090.6569632.2688911501.058363780.96171.84517736930.6569632.502141551.103418881.60222.10118024840.6569632.7581431601.153163992.13832.38133919280.6569633.0383021651.2081671113.4972.68716574440.6569633.3441291701.2690931246.733

35、3.02029833460.6569633.6772611751.3367181393.0483.38252136140.6569634.0394841801.4119511553.8213.77578602010.6569634.4327491851.4958661730.6364.20223345540.6569634.8591971901.5897321925.3194.66422102850.6569635.3211841951.6950622139.9845.16435275980.6569635.8213162001.8136632377.0915.70551533900.6569

36、636.3624782051.9477112639.5126.29092148960.6569636.9478852102.0998352930.6166.92416297950.6569637.5811262152.2732363254.3787.60927619740.6569638.2662392202.4718353615.5148.35082403360.6569639.0077872252.7004744019.65296569639.8109622302.7013956.3998.86586596470.6569639.5228292352.701388

37、4.9398.54849117780.6569639.2054542402.7013806.2468.20568287400.6569638.8626462452.7013720.2597.83912262200.6569638.4960862502.7013626.9357.45076194200.6569638.1077252552.7013526.2517.04283292300.6569637.6997962602.7013418.2046.61785321980.6569637.2748162652.7013302.82466569636.835588270

38、2.7013180.1645.72822539200.6569636.3851882752.7013050.3145.26999384210.6569635.9269572802.7012913.3954.80750668070.6569635.464472852.7012769.5664.34454855950.6569635.0015122902.7012619.0223.88507532740.6569634.5420382952.7012461.9953.43317078440.6569634.0901343002.7012298.7552.99299776730.6569633.64

39、99613052.7012129.6092.56874448320.6569633.2257083102.7011954.9022.16456716510.6569632.821533152.7011775.0131.78453026220.6569632.4414933202.7011590.3541.43254547410.6569632.0895093252.7011401.3691.11231100680.6569631.7692743302.7011208.5330.82725245370.6569631.4842163352.7011012.3440.58046669190.656

40、9631.237433402.701813.32480.37467013470.6569631.0316333452.701612.01720.21215258860.6569630.8691163502.701408.97920.09473784140.6569630.751701355 2.701 204.7807 0.0237519483 0.656963 0.680715360 2.7010 0.0000000000 0.656963 0.656963P設計工況00.996000.825210.8252150.99600.00000000000.825210.82521100.9960

41、0.00000000000.825210.82521150.99600.00000000000.825210.82521200.99600.00000000000.825210.82521250.99600.00000000000.825210.82521300.99600.00000000000.825210.82521350.997621.1231130.00089145060.825210.826101401.0009853.9226910.00353344870.825210.828743451.0052748.1450680.00818874230.825210.833398501.

42、01059114.113520.01562721400.825210.840837FgMgMf M55 1.017039 22.169430.0267408735 0.82521 0.851951601.02472132.668660.04253486850.825210.867745651.03374345.978570.06411560170.825210.889325701.0442162.475680.09267684720.825210.917887751.05623482.544060.12948477610.825210.954695801.06993106.57450.1758

43、6277010.825211.001073851.085421134.96460.23317684260.825211.058387901.10284168.11920.30282239270.825211.128032951.122328206.45260.38621290950.825211.2114231001.144042250.39040.48477111800.825211.3099811051.168153300.37320.59992292710.825211.4251331101.19485356.8610.73309441060.825211.5583041151.2243

44、45420.33760.88571192350.825211.7109221201.256875491.31751.05920534100.825211.8844151251.292705570.35261.25501430280.825212.0802241301.332139658.041.47459726520.825212.2998071351.375516755.0321.71944309610.825212.5446531401.423227862.04611.99108491250.825212.8162951451.475715979.87732.29111584550.825

45、213.1163261501.5334921109.4122.62120643410.825213.4464161551.5971421251.6432.98312339320.825213.8083331601.6673441407.693.37874957290.825214.2039591651.7448821578.8163.81010503470.825214.6353151701.8306691766.4584.27936930320.825215.1045791751.9257681972.2494.78890502100.825215.6141151802.0314292198.0595.34128344060.825216.1664931852.149122446.035.93931242790.825216.7645221902.2805782718.6276.58606794070.825217.4112781952.4278653018.77.28493028690.825218.110142002.5934423349.5538.03962687490.825218.8648372052.780265