Issued by (Dep. name, loc. tel.): Torsional Vibration Calculation (TVC) Date issued: 47468 Mattias Englund Z4.1 22165 2010-12-21 Approved by (Dep. name, loc. tel.: Date approved 47468 Mats Petersson z2.1 2011-01-20 Ordered by (Dep. name, loc. tel.): Design order: 47520 Gilsi Alden Z1.3 27914 TVC Id: Engine: Power (kw): Speed (rpm): Pages: 6081 TAD531GE 110 1800 22 Short description: TAD531GE, LSA 442 VS45 Flywheel end: Coupling: Front end: Coupling: Marine gearbox: Marine gearbox: Shaft: Shaft: Consumer: Consumer: LSA 442 VS45 Distribution: Dep. name location Dep. name location Important! Computer results and recommendations provided by AB Volvo Penta are valid only if input data are correct. AB Volvo Penta carries no responsibility for input data originating from other than Volvo Penta products. Therefore, please check input data for this calculation carefully. SUMMARY Case nr: 1 110kW@1800rpm, STAND-BY, NO DAMPER... 2 Case nr: 2 110kW@1800rpm, STAND-BY, DAMPER 248*32... 8 Case nr: 3 110kW@1800rpm, STAND-BY, DAMPER 280*40... 16 The following results were obtained: CASE: 1 2 3 LIMIT ====================================================================== Crankshaft nom. vibr. stress [MPa] 85 50 47 Generator shaft nom. vibr. stress [MPa] 150 36 22 Crankshaft forw end vibratory torque [Nm] 1600 750 900 * Crankshaft flywh end vibratory torque [Nm] 6000 3000 2400 * Crankshaft damper heat load [kw/m 2 ] - 6.13 2.77 ================================================== * Calculated values are below adequate limits CONCLUSION: Engine shaft and generator shaft nominal vibration stresses are above allowable levels for the case with engine without crankshaft damper. For the case with standard crankshaft damper (248x32) the heat load is above allowable limits. A larger damper (280x40) reduces the heat load to acceptable values.
Torsional Vibration Calculation (TVC) 2(22) Case nr: 1 110kW@1800rpm, STAND-BY, NO DAMPER AB VOLVO PENTA TORVIB 98 version 3.1 (R-292f) 2010-12-17 -------------------------------------------------------------------------------- TVC nr: 6081 Case nr: 1 110kW@1800rpm, STAND-BY, NO DAMPER T O R S I O N A L V I B R A T I O N C A L C U L A T I O N HEADER... : TAD531GE, Leroy-Somer 442VS45 CALCULATION NUMBER... : 6081 INPUT FILE... : U:\_TVC\indatafiler\TVC6000\tvc6000\tvc6081_1.dat COMPUTER INFORMATION... : APLver 10.0.3 - Windows NT 5.1 2600 OUR REF... : Mattias Englund ORDERER... : Lars-Erik Ohlsson ENGINE TYPE... : TAD531GE UNITS IN FRONT OF ENGINE.. : None UNITS BEHIND FLYWHEEL...: Leroy-Somer 442VS45 +++++++++++++++++++++++++++++ Important! +++++++++++++++++++++++++++++ Comments: Engine shaft and generator shaft nominal stresses are above allowable + COMPUTER RESULTS AND RECOMMENDATIONS PROVIDED BY AB VOLVO PENTA + + ARE VALID ONLY IF INPUT DATA ARE CORRECT. AB VOLVO PENTA CARRIES + limits... + NO RESPONSIBILITY FOR INPUT DATA ORIGINATING FROM OTHER THAN + + VOLVO PENTA PRODUCTS. THEREFORE, PLEASE CHECK INPUT DATA FOR +... + THIS CALCULATION CAREFULLY. + +++++++++++++++++++++++++++++ Important! +++++++++++++++++++++++++++++...Sign: ME... ********************************************************************** Engine Data ********************************************************************** CYLINDER DIAMETER...[mm]: 108.00 STROKE (2 OR 4)...[-]: 4 COMPRESSION RATIO...[-]: 18.10 LENGTH OF STROKE...[mm]: 130.00 LENGTH OF CONNECTING ROD...[mm]: 210.00 RECIPROCATING MASS...[kg]: 2.77 HARMONIC COMPONENTS...[-]: HK93 CYLINDER MASS NUMBER...[-]: 2 3 4 5 FIRING ANGLE...[deg]: 360 180 540 0
Torsional Vibration Calculation (TVC) 3(22) AB VOLVO PENTA TORVIB 98 version 3.1 (R-292f) 2010-12-17 -------------------------------------------------------------------------------- TVC nr: 6081 Case nr: 1 110kW@1800rpm, STAND-BY, NO DAMPER ***************************************************************** Data of Shaft System ***************************************************************** MASS DESCRIPTION MASSMOMENT STIFFNESS GEAR ----DAMPING ON MASSES---- ---DAMPING IN SHAFTS--- --SHAFT DIAMETER-- NR OF INERTIA RATIO COEFF MAGNIFIER COEFF MAGNIFIER OUTSIDE INSIDE [KGM2] [NM/RAD] [-] [NMS/RAD] [-] [NMS/RAD] [-] [M] [M] 1 HUB+PULLEY 0.05840 0. 1.0000 0.000 ------ 0.000 ------ 0.068 0.000 2 CYLINDER1 0.05000 1724000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 3 CYLINDER2 0.05000 1377000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 4 CYLINDER3 0.05000 1377000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 5 CYLINDER4 0.05200 1377000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 6 FLYWHEEL 1.21100 1923000. 1.0000 0.000 ------ 0.000 180.0 0.068 0.000 7 DISC 0.05870 10000000000. 1.0000 0.000 ------ 0.000 180.0 0.200 0.000 8 FAN 0.02080 1197000. 1.0000 0.000 ------ 0.000 180.0 0.080 0.000 9 ROTOR 0.72070 2822000. 1.0000 0.000 ------ 0.000 180.0 0.080 0.000 10 EXCITER 0.06860 1447000. 1.0000 0.000 ------ 0.000 180.0 0.070 0.000
Torsional Vibration Calculation (TVC) 4(22) TVC 6081 ******************* MODE NO. 1******************* 10-12-17 CASE 1 110kW@1800rpm, STAND-BY, NO DAMPER NATURAL FREQUENCY: 194.115 HZ 11646.91 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I++++++++++++ 2 CYLINDER1 0.949609 I+++++++++++ 3 CYLINDER2 0.835226 I++++++++++ 4 CYLINDER3 0.675729 I++++++++ 5 CYLINDER4 0.479732 I++++++ 6 FLYWHEEL 0.320087 I++++ 7 DISC 0.319998 I++++ 8 FAN -0.441539 +++++I 9 ROTOR -0.759717 +++++++++I 10 EXCITER -0.817361 ++++++++++I 0.5 0.49621 388.23 23293.8 1.0 0.08161 194.12 11646.9 1.5 0.49621 129.41 7764.6 2.0 2.94030 97.06 5823.5 2.5 0.49621 77.65 4658.8 3.0 0.08161 64.71 3882.3 3.5 0.49621 55.46 3327.7 4.0 2.94030 48.53 2911.7 4.5 0.49621 43.14 2588.2 5.0 0.08161 38.82 2329.4 5.5 0.49621 35.29 2117.6 6.0 2.94030 32.35 1941.2 6.5 0.49621 29.86 1791.8 7.0 0.08161 27.73 1663.8 7.5 0.49621 25.88 1552.9 8.0 2.94030 24.26 1455.9 8.5 0.49621 22.84 1370.2 9.0 0.08161 21.57 1294.1 9.5 0.49621 20.43 1226.0 10.0 2.94030 19.41 1164.7 10.5 0.49621 18.49 1109.2 11.0 0.08161 17.65 1058.8 11.5 0.49621 16.88 1012.8 12.0 2.94030 16.18 970.6 TVC 6081 ******************* MODE NO. 2******************* 10-12-17 CASE 1 110kW@1800rpm, STAND-BY, NO DAMPER NATURAL FREQUENCY: 273.024 HZ 16381.42 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I++++++++++++ 2 CYLINDER1 0.900314 I+++++++++++ 3 CYLINDER2 0.679303 I++++++++ 4 CYLINDER3 0.385705 I+++++ 5 CYLINDER4 0.050893 I+ 6 FLYWHEEL -0.192906 ++I 7 DISC -0.192884 ++I 8 FAN 0.017608 I 9 ROTOR 0.106509 I+ 10 EXCITER 0.123778 I+ 0.5 0.89873 546.05 32762.8 1.0 0.11380 273.02 16381.4 1.5 0.89873 182.02 10920.9 2.0 2.01621 136.51 8190.7 2.5 0.89873 109.21 6552.6 3.0 0.11380 91.01 5460.5 3.5 0.89873 78.01 4680.4 4.0 2.01621 68.26 4095.4 4.5 0.89873 60.67 3640.3 5.0 0.11380 54.60 3276.3 5.5 0.89873 49.64 2978.4 6.0 2.01621 45.50 2730.2 6.5 0.89873 42.00 2520.2 7.0 0.11380 39.00 2340.2 7.5 0.89873 36.40 2184.2 8.0 2.01621 34.13 2047.7 8.5 0.89873 32.12 1927.2 9.0 0.11380 30.34 1820.2 9.5 0.89873 28.74 1724.4 10.0 2.01621 27.30 1638.1 10.5 0.89873 26.00 1560.1 11.0 0.11380 24.82 1489.2 11.5 0.89873 23.74 1424.5 12.0 2.01621 22.75 1365.1
Torsional Vibration Calculation (TVC) 5(22) TVC 6081 ******************* MODE NO. 3******************* 10-12-17 CASE 1 110kW@1800rpm, STAND-BY, NO DAMPER NATURAL FREQUENCY: 734.040 HZ 44042.41 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I+++++++++ 2 CYLINDER1 0.279432 I+++ 3 CYLINDER2-0.838547 ++++++++I 4 CYLINDER3-1.308842 ++++++++++++I 5 CYLINDER4-0.768204 +++++++I 6 FLYWHEEL 0.060806 I+ 7 DISC 0.060808 I+ 8 FAN 0.020638 I 9 ROTOR 0.000364 I 10 EXCITER -0.043029 I 0.5 1.14836 1468.08 88084.8 1.0 1.65862 734.04 44042.4 1.5 1.14836 489.36 29361.6 2.0 2.63616 367.02 22021.2 2.5 1.14836 293.62 17617.0 3.0 1.65862 244.68 14680.8 3.5 1.14836 209.73 12583.5 4.0 2.63616 183.51 11010.6 4.5 1.14836 163.12 9787.2 5.0 1.65862 146.81 8808.5 5.5 1.14836 133.46 8007.7 6.0 2.63616 122.34 7340.4 6.5 1.14836 112.93 6775.8 7.0 1.65862 104.86 6291.8 7.5 1.14836 97.87 5872.3 8.0 2.63616 91.76 5505.3 8.5 1.14836 86.36 5181.5 9.0 1.65862 81.56 4893.6 9.5 1.14836 77.27 4636.0 10.0 2.63616 73.40 4404.2 10.5 1.14836 69.91 4194.5 11.0 1.65862 66.73 4003.9 11.5 1.14836 63.83 3829.8 12.0 2.63616 61.17 3670.2 TVC 6081 ******************* MODE NO. 4******************* 10-12-17 CASE 1 110kW@1800rpm, STAND-BY, NO DAMPER NATURAL FREQUENCY: 766.213 HZ 45972.81 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I 2 CYLINDER1 0.214882 I 3 CYLINDER2-0.948924 I 4 CYLINDER3-1.314134 I 5 CYLINDER4-0.573396 I 6 FLYWHEEL 0.316391 I 7 DISC 0.315674 I 8 FAN -6.032448 +I 9 ROTOR -7.694587 +I 10 EXCITER 77.887897 I++++++++++++ 0.5 0.86877 1532.43 91945.6 1.0 1.90454 766.21 45972.8 1.5 0.86877 510.81 30648.5 2.0 2.62157 383.11 22986.4 2.5 0.86877 306.49 18389.1 3.0 1.90454 255.40 15324.3 3.5 0.86877 218.92 13135.1 4.0 2.62157 191.55 11493.2 4.5 0.86877 170.27 10216.2 5.0 1.90454 153.24 9194.6 5.5 0.86877 139.31 8358.7 6.0 2.62157 127.70 7662.1 6.5 0.86877 117.88 7072.7 7.0 1.90454 109.46 6567.5 7.5 0.86877 102.16 6129.7 8.0 2.62157 95.78 5746.6 8.5 0.86877 90.14 5408.6 9.0 1.90454 85.13 5108.1 9.5 0.86877 80.65 4839.2 10.0 2.62157 76.62 4597.3 10.5 0.86877 72.97 4378.4 11.0 1.90454 69.66 4179.3 11.5 0.86877 66.63 3997.6 12.0 2.62157 63.85 3831.1
Torsional Vibration Calculation (TVC) 6(22) TORVIB 98 version 3.1 (R-292f) 2010-12-17 TVC nr:6081 Case:1 110kW@1800rpm, STAND-BY, NO DAMPER Engine Power [kw] 120 110 Crankshaft Indicated 100 90 80 70 60 50 40 30 20 10 TORVIB 98 version 3.1 (R-292f) 2010-12-17 TVC nr:6081 Case:1 110kW@1800rpm, STAND-BY, NO DAMPER Synthesis 0.5-12 Stress Amplitude [MPa] 160 140 2 CYLINDER1 3 CYLINDER2 4 CYLINDER3 5 CYLINDER4 9 ROTOR 120 100 80 60 40 20 0
Torsional Vibration Calculation (TVC) 7(22) TORVIB 98 version 3.1 (R-292f) 2010-12-17 TVC nr:6081 Case:1 110kW@1800rpm, STAND-BY, NO DAMPER Synthesis 0.5-12 Torque Amplitude [Nm] 6500 6000 2 CYLINDER1 6 FLYWHEEL 5500 5000 4500 4000 3500 3000 2500 2000 1500 1000 500 0 TORVIB 98 version 3.1 (R-292f) 2010-12-17 TVC nr:6081 Case:1 110kW@1800rpm, STAND-BY, NO DAMPER Synthesis 0.5-12 Torque Amplitude [Nm] 16000 9 ROTOR 14000 12000 10000 8000 6000 4000 2000 0
Torsional Vibration Calculation (TVC) 8(22) Case nr: 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 AB VOLVO PENTA TORVIB 98 version 3.1 (R-292f) 2010-12-17 -------------------------------------------------------------------------------- TVC nr: 6081 Case nr: 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 T O R S I O N A L V I B R A T I O N C A L C U L A T I O N HEADER... : TAD531GE, Leroy-Somer 442VS45 CALCULATION NUMBER... : 6081 INPUT FILE... : U:\_TVC\indatafiler\TVC6000\tvc6000\tvc6081_2.dat COMPUTER INFORMATION... : APLver 10.0.3 - Windows NT 5.1 2600 OUR REF... : Mattias Englund ORDERER... : Lars-Erik Ohlsson ENGINE TYPE... : TAD531GE UNITS IN FRONT OF ENGINE.. : None UNITS BEHIND FLYWHEEL...: Leroy-Somer 442VS45 +++++++++++++++++++++++++++++ Important! +++++++++++++++++++++++++++++ Comments: For the case with crankshaft damper the heat load is above allowable. + COMPUTER RESULTS AND RECOMMENDATIONS PROVIDED BY AB VOLVO PENTA + + ARE VALID ONLY IF INPUT DATA ARE CORRECT. AB VOLVO PENTA CARRIES + limits. A ventilated damper (Deutz part no. 0422 3172) with a larger surface... + NO RESPONSIBILITY FOR INPUT DATA ORIGINATING FROM OTHER THAN + + VOLVO PENTA PRODUCTS. THEREFORE, PLEASE CHECK INPUT DATA FOR + area reduce the heat load to acceptable values. This value is written in... + THIS CALCULATION CAREFULLY. + +++++++++++++++++++++++++++++ Important! +++++++++++++++++++++++++++++ brackets...sign: ME... ********************************************************************** Engine Data ********************************************************************** CYLINDER DIAMETER...[mm]: 108.00 STROKE (2 OR 4)...[-]: 4 COMPRESSION RATIO...[-]: 18.10 LENGTH OF STROKE...[mm]: 130.00 LENGTH OF CONNECTING ROD...[mm]: 210.00 RECIPROCATING MASS...[kg]: 2.77 HARMONIC COMPONENTS...[-]: HK93 CYLINDER MASS NUMBER...[-]: 2 3 4 5 FIRING ANGLE...[deg]: 360 180 540 0
Torsional Vibration Calculation (TVC) 9(22) AB VOLVO PENTA TORVIB 98 version 3.1 (R-292f) 2010-12-17 -------------------------------------------------------------------------------- TVC nr: 6081 Case nr: 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 ***************************************************************** Data of Shaft System ***************************************************************** MASS DESCRIPTION MASSMOMENT STIFFNESS GEAR ----DAMPING ON MASSES---- ---DAMPING IN SHAFTS--- --SHAFT DIAMETER-- NR OF INERTIA RATIO COEFF MAGNIFIER COEFF MAGNIFIER OUTSIDE INSIDE [KGM2] [NM/RAD] [-] [NMS/RAD] [-] [NMS/RAD] [-] [M] [M] 1 HUB+PULLEY 0.05840 0. 1.0000 0.000 ------ 0.000 ------ 0.068 0.000 2 CYLINDER1 0.05000 1724000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 3 CYLINDER2 0.05000 1377000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 4 CYLINDER3 0.05000 1377000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 5 CYLINDER4 0.05200 1377000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 6 FLYWHEEL 1.21100 1923000. 1.0000 0.000 ------ 0.000 180.0 0.068 0.000 7 DISC 0.05870 10000000000. 1.0000 0.000 ------ 0.000 180.0 0.200 0.000 8 FAN 0.02080 1197000. 1.0000 0.000 ------ 0.000 180.0 0.080 0.000 9 ROTOR 0.72070 2822000. 1.0000 0.000 ------ 0.000 180.0 0.080 0.000 10 EXCITER 0.06860 1447000. 1.0000 0.000 ------ 0.000 180.0 0.070 0.000 11 DAMPERRING 0.04450 31000. 1.0000 0.000 ------ 44.000 ------ 0.248 0.000 N O T E: Branched Shaft System, Connection Point: 11->1
Torsional Vibration Calculation (TVC) 10(22) TVC 6081 ******************* MODE NO. 1******************* 10-12-17 CASE 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 NATURAL FREQUENCY: 126.235 HZ 7574.08 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I+ 2 CYLINDER1 0.811183 I+ 3 CYLINDER2 0.556256 I+ 4 CYLINDER3 0.288621 I 5 CYLINDER4 0.014394 I 6 FLYWHEEL -0.182216 I 7 DISC -0.182240 I 8 FAN -0.376503 I 9 ROTOR -0.457158 +I 10 EXCITER -0.471211 +I 11 DAMPERRING 10.315502 I++++++++++++ 0.5 0.84054 252.47 15148.2 1.0 0.01930 126.23 7574.1 1.5 0.84054 84.16 5049.4 2.0 1.67045 63.12 3787.0 2.5 0.84054 50.49 3029.6 3.0 0.01930 42.08 2524.7 3.5 0.84054 36.07 2164.0 4.0 1.67045 31.56 1893.5 4.5 0.84054 28.05 1683.1 5.0 0.01930 25.25 1514.8 5.5 0.84054 22.95 1377.1 6.0 1.67045 21.04 1262.3 6.5 0.84054 19.42 1165.2 7.0 0.01930 18.03 1082.0 7.5 0.84054 16.83 1009.9 8.0 1.67045 15.78 946.8 8.5 0.84054 14.85 891.1 9.0 0.01930 14.03 841.6 9.5 0.84054 13.29 797.3 10.0 1.67045 12.62 757.4 10.5 0.84054 12.02 721.3 11.0 0.01930 11.48 688.6 11.5 0.84054 10.98 658.6 12.0 1.67045 10.52 631.2 TVC 6081 ******************* MODE NO. 2******************* 10-12-17 CASE 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 NATURAL FREQUENCY: 197.998 HZ 11879.89 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I++++++++++++ 2 CYLINDER1 0.980273 I++++++++++++ 3 CYLINDER2 0.900485 I+++++++++++ 4 CYLINDER3 0.770093 I+++++++++ 5 CYLINDER4 0.596423 I+++++++ 6 FLYWHEEL 0.447102 I+++++ 7 DISC 0.446990 I+++++ 8 FAN -0.526887 ++++++I 9 ROTOR -0.933964 +++++++++++I 10 EXCITER -1.007918 ++++++++++++I 11 DAMPERRING -0.818549 ++++++++++I 0.5 0.40539 396.00 23759.8 1.0 0.09388 198.00 11879.9 1.5 0.40539 132.00 7919.9 2.0 3.24727 99.00 5939.9 2.5 0.40539 79.20 4752.0 3.0 0.09388 66.00 3960.0 3.5 0.40539 56.57 3394.3 4.0 3.24727 49.50 2970.0 4.5 0.40539 44.00 2640.0 5.0 0.09388 39.60 2376.0 5.5 0.40539 36.00 2160.0 6.0 3.24727 33.00 1980.0 6.5 0.40539 30.46 1827.7 7.0 0.09388 28.29 1697.1 7.5 0.40539 26.40 1584.0 8.0 3.24727 24.75 1485.0 8.5 0.40539 23.29 1397.6 9.0 0.09388 22.00 1320.0 9.5 0.40539 20.84 1250.5 10.0 3.24727 19.80 1188.0 10.5 0.40539 18.86 1131.4 11.0 0.09388 18.00 1080.0 11.5 0.40539 17.22 1033.0 12.0 3.24727 16.50 990.0
Torsional Vibration Calculation (TVC) 11(22) TVC 6081 ******************* MODE NO. 3******************* 10-12-17 CASE 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 NATURAL FREQUENCY: 282.987 HZ 16979.19 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I++++++++++++ 2 CYLINDER1 0.915969 I+++++++++++ 3 CYLINDER2 0.705613 I++++++++ 4 CYLINDER3 0.414255 I+++++ 5 CYLINDER4 0.075342 I+ 6 FLYWHEEL -0.173784 ++I 7 DISC -0.173765 ++I 8 FAN 0.008791 I 9 ROTOR 0.086021 I+ 10 EXCITER 0.101187 I+ 11 DAMPERRING -0.282625 +++I 0.5 0.88969 565.97 33958.4 1.0 0.12856 282.99 16979.2 1.5 0.88969 188.66 11319.5 2.0 2.11118 141.49 8489.6 2.5 0.88969 113.19 6791.7 3.0 0.12856 94.33 5659.7 3.5 0.88969 80.85 4851.2 4.0 2.11118 70.75 4244.8 4.5 0.88969 62.89 3773.2 5.0 0.12856 56.60 3395.8 5.5 0.88969 51.45 3087.1 6.0 2.11118 47.16 2829.9 6.5 0.88969 43.54 2612.2 7.0 0.12856 40.43 2425.6 7.5 0.88969 37.73 2263.9 8.0 2.11118 35.37 2122.4 8.5 0.88969 33.29 1997.6 9.0 0.12856 31.44 1886.6 9.5 0.88969 29.79 1787.3 10.0 2.11118 28.30 1697.9 10.5 0.88969 26.95 1617.1 11.0 0.12856 25.73 1543.6 11.5 0.88969 24.61 1476.5 12.0 2.11118 23.58 1414.9 TVC 6081 ******************* MODE NO. 4******************* 10-12-17 CASE 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 NATURAL FREQUENCY: 736.585 HZ 44195.08 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I+++++++++ 2 CYLINDER1 0.293014 I+++ 3 CYLINDER2-0.820023 ++++++++I 4 CYLINDER3-1.295285 ++++++++++++I 5 CYLINDER4-0.763137 +++++++I 6 FLYWHEEL 0.059927 I+ 7 DISC 0.059930 I+ 8 FAN 0.020632 I 9 ROTOR 0.000706 I 10 EXCITER -0.045688 I 11 DAMPERRING -0.033617 I 0.5 1.15816 1473.17 88390.2 1.0 1.64519 736.58 44195.1 1.5 1.15816 491.06 29463.4 2.0 2.58543 368.29 22097.5 2.5 1.15816 294.63 17678.0 3.0 1.64519 245.53 14731.7 3.5 1.15816 210.45 12627.2 4.0 2.58543 184.15 11048.8 4.5 1.15816 163.69 9821.1 5.0 1.64519 147.32 8839.0 5.5 1.15816 133.92 8035.5 6.0 2.58543 122.76 7365.8 6.5 1.15816 113.32 6799.2 7.0 1.64519 105.23 6313.6 7.5 1.15816 98.21 5892.7 8.0 2.58543 92.07 5524.4 8.5 1.15816 86.66 5199.4 9.0 1.64519 81.84 4910.6 9.5 1.15816 77.54 4652.1 10.0 2.58543 73.66 4419.5 10.5 1.15816 70.15 4209.1 11.0 1.64519 66.96 4017.7 11.5 1.15816 64.05 3843.1 12.0 2.58543 61.38 3682.9
Torsional Vibration Calculation (TVC) 12(22) TVC 6081 ******************* MODE NO. 5******************* 10-12-17 CASE 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 NATURAL FREQUENCY: 766.215 HZ 45972.88 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I 2 CYLINDER1 0.233418 I 3 CYLINDER2-0.922781 I 4 CYLINDER3-1.302383 I 5 CYLINDER4-0.585923 I 6 FLYWHEEL 0.294331 I 7 DISC 0.293675 I 8 FAN -5.527533 +I 9 ROTOR -7.052423 +I 10 EXCITER 71.385051 I++++++++++++ 11 DAMPERRING -0.030988 I 0.5 0.90300 1532.43 91945.8 1.0 1.87266 766.21 45972.9 1.5 0.90300 510.81 30648.6 2.0 2.57767 383.11 22986.4 2.5 0.90300 306.49 18389.2 3.0 1.87266 255.40 15324.3 3.5 0.90300 218.92 13135.1 4.0 2.57767 191.55 11493.2 4.5 0.90300 170.27 10216.2 5.0 1.87266 153.24 9194.6 5.5 0.90300 139.31 8358.7 6.0 2.57767 127.70 7662.1 6.5 0.90300 117.88 7072.8 7.0 1.87266 109.46 6567.6 7.5 0.90300 102.16 6129.7 8.0 2.57767 95.78 5746.6 8.5 0.90300 90.14 5408.6 9.0 1.87266 85.13 5108.1 9.5 0.90300 80.65 4839.3 10.0 2.57767 76.62 4597.3 10.5 0.90300 72.97 4378.4 11.0 1.87266 69.66 4179.4 11.5 0.90300 66.63 3997.6 12.0 2.57767 63.85 3831.1
Torsional Vibration Calculation (TVC) 13(22) TORVIB 98 version 3.1 (R-292f) 2010-12-17 TVC nr:6081 Case:2 110kW@1800rpm, STAND-BY, DAMPER 248*32 Engine Power [kw] 120 110 Crankshaft Indicated 100 90 80 70 60 50 40 30 20 10 TORVIB 98 version 3.1 (R-292f) 2010-12-17 TVC nr:6081 Case:2 110kW@1800rpm, STAND-BY, DAMPER 248*32 Synthesis 0.5-12 Stress Amplitude [MPa] 50 45 40 2 CYLINDER1 3 CYLINDER2 4 CYLINDER3 5 CYLINDER4 9 ROTOR 35 30 25 20 15 10 5 0
Torsional Vibration Calculation (TVC) 14(22) TORVIB 98 version 3.1 (R-292f) 2010-12-17 TVC nr:6081 Case:2 110kW@1800rpm, STAND-BY, DAMPER 248*32 Synthesis 0.5-12 Torque Amplitude [Nm] 3000 2 CYLINDER1 6 FLYWHEEL 2500 2000 1500 1000 500 0 TORVIB 98 version 3.1 (R-292f) 2010-12-17 TVC nr:6081 Case:2 110kW@1800rpm, STAND-BY, DAMPER 248*32 Synthesis 0.5-12 Torque Amplitude [Nm] 4000 3500 9 ROTOR 3000 2500 2000 1500 1000 500 0
Torsional Vibration Calculation (TVC) 15(22) TORVIB 98 version 3.1 (R-292f) 2010-12-17 TVC nr:6081 Case:2 110kW@1800rpm, STAND-BY, DAMPER 248*32 Synthesis 0.5-12 Power Loss [W] 500 450 11 DAMPERRING 400 350 300 250 200 150 100 50 0
Torsional Vibration Calculation (TVC) 16(22) Case nr: 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 AB VOLVO PENTA TORVIB 98 version 3.1 (R-292f) 2011-01-19 -------------------------------------------------------------------------------- TVC nr: 6081 Case nr: 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 T O R S I O N A L V I B R A T I O N C A L C U L A T I O N HEADER... : TAD531GE, Leroy-Somer 442VS45 CALCULATION NUMBER... : 6081 INPUT FILE... : U:\_TVC\indatafiler\TVC6000\tvc6000\tvc6081_3.dat COMPUTER INFORMATION... : APLver 10.0.3 - Windows NT 5.1 2600 OUR REF... : Mattias Englund ORDERER... : Lars-Erik Ohlsson ENGINE TYPE... : TAD531GE UNITS IN FRONT OF ENGINE.. : None UNITS BEHIND FLYWHEEL...: Leroy-Somer 442VS45 +++++++++++++++++++++++++++++ Important! +++++++++++++++++++++++++++++ Comments:No problems are foreseen from a torsional vibration point of view... + COMPUTER RESULTS AND RECOMMENDATIONS PROVIDED BY AB VOLVO PENTA + + ARE VALID ONLY IF INPUT DATA ARE CORRECT. AB VOLVO PENTA CARRIES +... + NO RESPONSIBILITY FOR INPUT DATA ORIGINATING FROM OTHER THAN + + VOLVO PENTA PRODUCTS. THEREFORE, PLEASE CHECK INPUT DATA FOR +... + THIS CALCULATION CAREFULLY. + +++++++++++++++++++++++++++++ Important! +++++++++++++++++++++++++++++...Sign:ME... ********************************************************************** Engine Data ********************************************************************** CYLINDER DIAMETER...[mm]: 108.00 STROKE (2 OR 4)...[-]: 4 COMPRESSION RATIO...[-]: 18.10 LENGTH OF STROKE...[mm]: 130.00 LENGTH OF CONNECTING ROD...[mm]: 210.00 RECIPROCATING MASS...[kg]: 2.77 HARMONIC COMPONENTS...[-]: HK93 CYLINDER MASS NUMBER...[-]: 2 3 4 5 FIRING ANGLE...[deg]: 360 180 540 0
Torsional Vibration Calculation (TVC) 17(22) AB VOLVO PENTA TORVIB 98 version 3.1 (R-292f) 2011-01-19 -------------------------------------------------------------------------------- TVC nr: 6081 Case nr: 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 ***************************************************************** Data of Shaft System ***************************************************************** MASS DESCRIPTION MASSMOMENT STIFFNESS GEAR ----DAMPING ON MASSES---- ---DAMPING IN SHAFTS--- --SHAFT DIAMETER-- NR OF INERTIA RATIO COEFF MAGNIFIER COEFF MAGNIFIER OUTSIDE INSIDE [KGM2] [NM/RAD] [-] [NMS/RAD] [-] [NMS/RAD] [-] [M] [M] 1 HUB+PULLEY 0.07520 0. 1.0000 0.000 ------ 0.000 ------ 0.068 0.000 2 CYLINDER1 0.05000 1724000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 3 CYLINDER2 0.05000 1377000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 4 CYLINDER3 0.05000 1377000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 5 CYLINDER4 0.05200 1377000. 1.0000 0.074 ------ 0.000 20.0 0.068 0.000 6 FLYWHEEL 1.21100 1923000. 1.0000 0.000 ------ 0.000 180.0 0.068 0.000 7 DISC 0.05870 10000000000. 1.0000 0.000 ------ 0.000 180.0 0.200 0.000 8 FAN 0.02080 1197000. 1.0000 0.000 ------ 0.000 180.0 0.080 0.000 9 ROTOR 0.72070 2822000. 1.0000 0.000 ------ 0.000 180.0 0.080 0.000 10 EXCITER 0.06860 1447000. 1.0000 0.000 ------ 0.000 180.0 0.070 0.000 11 DAMPERRING 0.11100 90000. 1.0000 0.000 ------ 101.000 ------ 0.100 0.000 N O T E: Branched Shaft System, Connection Point: 11->1
Torsional Vibration Calculation (TVC) 18(22) TVC 6081 ******************* MODE NO. 1******************* 11-01-19 CASE 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 NATURAL FREQUENCY: 182.104 HZ 10926.22 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I++++++++++++ 2 CYLINDER1 0.900749 I+++++++++++ 3 CYLINDER2 0.733667 I+++++++++ 4 CYLINDER3 0.531709 I++++++ 5 CYLINDER4 0.304475 I++++ 6 FLYWHEEL 0.130981 I++ 7 DISC 0.130927 I++ 8 FAN -0.329682 ++++I 9 ROTOR -0.521876 ++++++I 10 EXCITER -0.556410 +++++++I 11 DAMPERRING 1.000007 I++++++++++++ 0.5 0.62955 364.21 21852.4 1.0 0.06015 182.10 10926.2 1.5 0.62955 121.40 7284.1 2.0 2.47060 91.05 5463.1 2.5 0.62955 72.84 4370.5 3.0 0.06015 60.70 3642.1 3.5 0.62955 52.03 3121.8 4.0 2.47060 45.53 2731.6 4.5 0.62955 40.47 2428.0 5.0 0.06015 36.42 2185.2 5.5 0.62955 33.11 1986.6 6.0 2.47060 30.35 1821.0 6.5 0.62955 28.02 1681.0 7.0 0.06015 26.01 1560.9 7.5 0.62955 24.28 1456.8 8.0 2.47060 22.76 1365.8 8.5 0.62955 21.42 1285.4 9.0 0.06015 20.23 1214.0 9.5 0.62955 19.17 1150.1 10.0 2.47060 18.21 1092.6 10.5 0.62955 17.34 1040.6 11.0 0.06015 16.55 993.3 11.5 0.62955 15.84 950.1 12.0 2.47060 15.18 910.5 TVC 6081 ******************* MODE NO. 2******************* 11-01-19 CASE 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 NATURAL FREQUENCY: 238.598 HZ 14315.86 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I++++++++++++ 2 CYLINDER1 0.829614 I++++++++++ 3 CYLINDER2 0.548590 I+++++++ 4 CYLINDER3 0.222796 I+++ 5 CYLINDER4-0.121179 +I 6 FLYWHEEL -0.360125 ++++I 7 DISC -0.360073 ++++I 8 FAN 0.114575 I+ 9 ROTOR 0.314007 I++++ 10 EXCITER 0.351454 I++++ 11 DAMPERRING 1.000012 I++++++++++++ 0.5 1.00506 477.20 28631.7 1.0 0.06295 238.60 14315.9 1.5 1.00506 159.07 9543.9 2.0 1.47982 119.30 7157.9 2.5 1.00506 95.44 5726.3 3.0 0.06295 79.53 4772.0 3.5 1.00506 68.17 4090.2 4.0 1.47982 59.65 3579.0 4.5 1.00506 53.02 3181.3 5.0 0.06295 47.72 2863.2 5.5 1.00506 43.38 2602.9 6.0 1.47982 39.77 2386.0 6.5 1.00506 36.71 2202.4 7.0 0.06295 34.09 2045.1 7.5 1.00506 31.81 1908.8 8.0 1.47982 29.82 1789.5 8.5 1.00506 28.07 1684.2 9.0 0.06295 26.51 1590.7 9.5 1.00506 25.12 1506.9 10.0 1.47982 23.86 1431.6 10.5 1.00506 22.72 1363.4 11.0 0.06295 21.69 1301.4 11.5 1.00506 20.75 1244.9 12.0 1.47982 19.88 1193.0
Torsional Vibration Calculation (TVC) 19(22) TVC 6081 ******************* MODE NO. 3******************* 11-01-19 CASE 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 NATURAL FREQUENCY: 662.699 HZ 39761.95 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I++++++ 2 CYLINDER1-0.314464 ++I 3 CYLINDER2-1.762199 ++++++++++I 4 CYLINDER3-2.100546 ++++++++++++I 5 CYLINDER4-1.116499 ++++++I 6 FLYWHEEL 0.111595 I+ 7 DISC 0.111597 I+ 8 FAN 0.032225 I 9 ROTOR -0.005561 I 10 EXCITER -0.031232 I 11 DAMPERRING 1.000096 I++++++ 0.5 0.87048 1325.40 79523.9 1.0 2.43178 662.70 39761.9 1.5 0.87048 441.80 26508.0 2.0 5.29371 331.35 19881.0 2.5 0.87048 265.08 15904.8 3.0 2.43178 220.90 13254.0 3.5 0.87048 189.34 11360.6 4.0 5.29371 165.67 9940.5 4.5 0.87048 147.27 8836.0 5.0 2.43178 132.54 7952.4 5.5 0.87048 120.49 7229.4 6.0 5.29371 110.45 6627.0 6.5 0.87048 101.95 6117.2 7.0 2.43178 94.67 5680.3 7.5 0.87048 88.36 5301.6 8.0 5.29371 82.84 4970.2 8.5 0.87048 77.96 4677.9 9.0 2.43178 73.63 4418.0 9.5 0.87048 69.76 4185.5 10.0 5.29371 66.27 3976.2 10.5 0.87048 63.11 3786.9 11.0 2.43178 60.25 3614.7 11.5 0.87048 57.63 3457.6 12.0 5.29371 55.22 3313.5 TVC 6081 ******************* MODE NO. 4******************* 11-01-19 CASE 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 NATURAL FREQUENCY: 766.202 HZ 45972.14 CYCLES/MIN. 1 HUB+PULLEY 1.000000 I 2 CYLINDER1-0.757149 I 3 CYLINDER2-2.319912 I 4 CYLINDER3-1.930340 I 5 CYLINDER4 0.083720 I 6 FLYWHEEL 1.473456 I 7 DISC 1.469588 I 8 FAN -32.516921 +I 9 ROTOR -41.378163 +I 10 EXCITER 418.983712 I++++++++++++ 11 DAMPERRING 1.000129 I 0.5 0.92673 1532.40 91944.3 1.0 3.57682 766.20 45972.1 1.5 0.92673 510.80 30648.1 2.0 4.92368 383.10 22986.1 2.5 0.92673 306.48 18388.9 3.0 3.57682 255.40 15324.0 3.5 0.92673 218.91 13134.9 4.0 4.92368 191.55 11493.0 4.5 0.92673 170.27 10216.0 5.0 3.57682 153.24 9194.4 5.5 0.92673 139.31 8358.6 6.0 4.92368 127.70 7662.0 6.5 0.92673 117.88 7072.6 7.0 3.57682 109.46 6567.4 7.5 0.92673 102.16 6129.6 8.0 4.92368 95.78 5746.5 8.5 0.92673 90.14 5408.5 9.0 3.57682 85.13 5108.0 9.5 0.92673 80.65 4839.2 10.0 4.92368 76.62 4597.2 10.5 0.92673 72.97 4378.3 11.0 3.57682 69.65 4179.3 11.5 0.92673 66.63 3997.6 12.0 4.92368 63.85 3831.0
Torsional Vibration Calculation (TVC) 20(22) TORVIB 98 version 3.1 (R-292f) 2011-01-19 TVC nr:6081 Case:3 110kW@1800rpm, STAND-BY, DAMPER 280*40 Engine Power [kw] 120 110 Crankshaft Indicated 100 90 80 70 60 50 40 30 20 10 TORVIB 98 version 3.1 (R-292f) 2011-01-19 TVC nr:6081 Case:3 110kW@1800rpm, STAND-BY, DAMPER 280*40 Synthesis 0.5-12 Stress Amplitude [MPa] 45 40 35 30 2 CYLINDER1 3 CYLINDER2 4 CYLINDER3 5 CYLINDER4 7 DISC 8 FAN 9 ROTOR 10 EXCITER 25 20 15 10 5 0
Torsional Vibration Calculation (TVC) 21(22) TORVIB 98 version 3.1 (R-292f) 2011-01-19 TVC nr:6081 Case:3 110kW@1800rpm, STAND-BY, DAMPER 280*40 Synthesis 0.5-12 Torque Amplitude [Nm] 2600 2400 2 CYLINDER1 6 FLYWHEEL 2200 2000 1800 1600 1400 1200 1000 800 600 400 200 0 TORVIB 98 version 3.1 (R-292f) 2011-01-19 TVC nr:6081 Case:3 110kW@1800rpm, STAND-BY, DAMPER 280*40 Synthesis 0.5-12 Torque Amplitude [Nm] 2200 2000 9 ROTOR 1800 1600 1400 1200 1000 800 600 400
Torsional Vibration Calculation (TVC) 22(22) TORVIB 98 version 3.1 (R-292f) 2011-01-19 TVC nr:6081 Case:3 110kW@1800rpm, STAND-BY, DAMPER 280*40 Synthesis 0.5-12 Power Loss [W] 350 11 DAMPERRING 300 250 200 150 100 50 0