AB Volvo Penta Torsional Vibration Calculation (TVC) Ordered by (Dep. name, loc. tel.):

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1 Issued by (Dep. name, loc. tel.): Torsional Vibration Calculation (TVC) Date issued: 4744 Peter Olsson Z Approved by (Dep. name, loc. tel.: Date approved 4744 Peter Olsson Z Ordered by (Dep. name, loc. tel.): Design order: H Andersson TVC Id: Engine: Power (kw): Speed (rpm): Pages: 3622 TD52GE Short description: TD52GE STAMFORD UC224F Flywheel end: Coupling: Front end: Coupling: Marine gearbox: Marine gearbox: Shaft: Shaft: Consumer: Consumer: STAMFORD UC224F 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 89kW@18rpm, FLYW=1.2kgm2, Damper 248* Case nr: 2 89kW@18rpm, FLYW=2.6kgm2, Damper 248* Case nr: 3 89kW@18rpm, Flyw=1.2kgm2, No Damper Case nr: 4 89kW@18rpm, Flyw=2.6kgm2, No Damper The following results were obtained: CASE: LIMIT == Crankshaft nom. vibr. stress [MPa] * Generator shaft nom. vibr. stress [MPa] Crankshaft forw end vibratory torque [Nm] * Crankshaft flywh end vibratory torque [Nm] * Crankshaft damper heat load [kw/m 2 ] * === * Calculated values are below adequate limits CONCLUSION: Case 1 No problems are foreseen from a torsional vibration point of view. Case 2 The stress in the generator shaft is above reccomended limit. Case 3 The speedrange must be avoided. Case 4 The stress in the generator shaft is above reccomended limit.

2 Torsional Vibration Calculation (TVC) 2(23) Case nr: 1 89kW@18rpm, FLYW=1.2kgm2, Damper 248*32 AB VOLVO PENTA TVC nr: 3622 Case nr: 1 89kW@18rpm, FLYW=1.2kgm2, 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... : TD52GE STAMFORD UC224F CALCULATION NUMBER... : 3622 INPUT FILE... : H:\DATA\tvc\indatafiler\tvc3622_1.dat COMPUTER INFORMATION... : APLver Windows OUR REF... : Peter Olsson ORDERER... : H Andersson ENGINE TYPE... : TD52GE UNITS IN FRONT OF ENGINE.. : None UNITS BEHIND FLYWHEEL...: STAMFORD UC224F 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:.PO... ********************************************************************** Engine Data ********************************************************************** CYLINDER DIAMETER...[mm]: 18. STROKE (2 OR 4)...[-]: 4 COMPRESSION RATIO...[-]: 17.5 LENGTH OF STROKE...[mm]: 13. LENGTH OF CONNECTING ROD...[mm]: 21. RECIPROCATING MASS...[kg]: 2.77 HARMONIC COMPONENTS...[-]: HK93 CYLINDER MASS NUMBER...[-]: FIRING ANGLE...[deg]:

3 Torsional Vibration Calculation (TVC) 3(23) AB VOLVO PENTA TVC nr: 3622 Case nr: 1 89kW@18rpm, FLYW=1.2kgm2, 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 CYLINDER CYLINDER CYLINDER CYLINDER FLYWHEEL DISC FAN ROTOR EXCITER DAMPERRING N O T E: Branched Shaft System, Connection Point: 11->1

4 Torsional Vibration Calculation (TVC) 4(23) TVC 3622 ******************* MODE NO. 1******************* CASE 1 89kW@18rpm, FLYW=1.2kgm2, Damper 248*32 NATURAL FREQUENCY: HZ CYCLES/MIN. MASS MASS RELATIVE AMPLITUDE PLOT NUMBER NAME AMPLITUDE 1 HUB+PULLEY 1. I CYLINDER I CYLINDER I CYLINDER I CYLINDER I FLYWHEEL I++ 7 DISC.2735 I++ 8 FAN I 9 ROTOR I 1 EXCITER I 11 DAMPERRING 1.3 I ORDER VECTOR SUM NCRIT (R/S) (R/M) TVC 3622 ******************* MODE NO. 2******************* CASE 1 89kW@18rpm, FLYW=1.2kgm2, Damper 248*32 NATURAL FREQUENCY: HZ CYCLES/MIN. MASS MASS RELATIVE AMPLITUDE PLOT NUMBER NAME AMPLITUDE 1 HUB+PULLEY 1. I CYLINDER I CYLINDER I CYLINDER I CYLINDER I 6 FLYWHEEL I 7 DISC I 8 FAN I 9 ROTOR I++ 1 EXCITER.2657 I DAMPERRING 1.6 I ORDER VECTOR SUM NCRIT (R/S) (R/M)

5 Torsional Vibration Calculation (TVC) 5(23) TVC nr:3622 Case:1 FLYW=1.2kgm2, Damper 248*32 Engine Power [kw] 1 9 Crankshaft Indicated TVC nr:3622 Case:1 89kW@18rpm, FLYW=1.2kgm2, Damper 248*32 Synthesis.5-12 Stress Amplitude [MPa] CYLINDER2 4 CYLINDER3 5 CYLINDER4 9 ROTOR

6 Torsional Vibration Calculation (TVC) 6(23) TVC nr:3622 Case:1 FLYW=1.2kgm2, Damper 248*32 Synthesis.5-12 Torque Amplitude [Nm] CYLINDER1 6 FLYWHEEL TVC nr:3622 Case:1 89kW@18rpm, FLYW=1.2kgm2, Damper 248*32 Synthesis.5-12 Torque Amplitude [Nm] FAN 9 ROTOR

7 Torsional Vibration Calculation (TVC) 7(23) TVC nr:3622 Case:1 FLYW=1.2kgm2, Damper 248*32 Synthesis.5-12 Power Loss [W] DAMPERRING

8 Torsional Vibration Calculation (TVC) 8(23) Case nr: 2 89kW@18rpm, FLYW=2.6kgm2, Damper 248*32 AB VOLVO PENTA TVC nr: 3622 Case nr: 2 89kW@18rpm, FLYW=2.6kgm2, 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... : TD52GE STAMFORD UC224F CALCULATION NUMBER... : 3622 INPUT FILE... : H:\DATA\tvc\indatafiler\tvc3622_2.dat COMPUTER INFORMATION... : APLver Windows OUR REF... : Peter Olsson ORDERER... : H Andersson ENGINE TYPE... : TD52GE UNITS IN FRONT OF ENGINE.. : None UNITS BEHIND FLYWHEEL...: STAMFORD UC224F Important! Comments:..The stress in the generatorshaft is above the limit... + 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:..PO... ********************************************************************** Engine Data ********************************************************************** CYLINDER DIAMETER...[mm]: 18. STROKE (2 OR 4)...[-]: 4 COMPRESSION RATIO...[-]: 17.5 LENGTH OF STROKE...[mm]: 13. LENGTH OF CONNECTING ROD...[mm]: 21. RECIPROCATING MASS...[kg]: 2.77 HARMONIC COMPONENTS...[-]: HK93 CYLINDER MASS NUMBER...[-]: FIRING ANGLE...[deg]:

9 Torsional Vibration Calculation (TVC) 9(23) AB VOLVO PENTA TVC nr: 3622 Case nr: 2 89kW@18rpm, FLYW=2.6kgm2, 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 CYLINDER CYLINDER CYLINDER CYLINDER FLYWHEEL DISC FAN ROTOR EXCITER DAMPERRING N O T E: Branched Shaft System, Connection Point: 11->1

10 Torsional Vibration Calculation (TVC) 1(23) TVC 3622 ******************* MODE NO. 1******************* CASE 2 89kW@18rpm, FLYW=2.6kgm2, Damper 248*32 NATURAL FREQUENCY: HZ CYCLES/MIN. MASS MASS RELATIVE AMPLITUDE PLOT NUMBER NAME AMPLITUDE 1 HUB+PULLEY 1. I CYLINDER I CYLINDER I CYLINDER I CYLINDER I+++ 6 FLYWHEEL I++ 7 DISC I++ 8 FAN I 9 ROTOR I 1 EXCITER I 11 DAMPERRING 1.3 I ORDER VECTOR SUM NCRIT (R/S) (R/M) TVC 3622 ******************* MODE NO. 2******************* CASE 2 89kW@18rpm, FLYW=2.6kgm2, Damper 248*32 NATURAL FREQUENCY: HZ CYCLES/MIN. MASS MASS RELATIVE AMPLITUDE PLOT NUMBER NAME AMPLITUDE 1 HUB+PULLEY 1. I CYLINDER I CYLINDER I CYLINDER I CYLINDER I++ 6 FLYWHEEL I 7 DISC I 8 FAN.478 I 9 ROTOR I+ 1 EXCITER.1436 I++ 11 DAMPERRING 1.5 I ORDER VECTOR SUM NCRIT (R/S) (R/M)

11 Torsional Vibration Calculation (TVC) 11(23) TVC nr:3622 Case:2 FLYW=2.6kgm2, Damper 248*32 Engine Power [kw] 1 9 Crankshaft Indicated TVC nr:3622 Case:2 89kW@18rpm, FLYW=2.6kgm2, Damper 248*32 Synthesis.5-12 Stress Amplitude [MPa] CYLINDER2 4 CYLINDER3 5 CYLINDER4 9 ROTOR

12 Torsional Vibration Calculation (TVC) 12(23) TVC nr:3622 Case:2 FLYW=2.6kgm2, Damper 248*32 Synthesis.5-12 Torque Amplitude [Nm] CYLINDER1 6 FLYWHEEL TVC nr:3622 Case:2 89kW@18rpm, FLYW=2.6kgm2, Damper 248*32 Synthesis.5-12 Torque Amplitude [Nm] FAN 9 ROTOR

13 Torsional Vibration Calculation (TVC) 13(23) TVC nr:3622 Case:2 FLYW=2.6kgm2, Damper 248*32 Synthesis.5-12 Power Loss [W] DAMPERRING

14 Torsional Vibration Calculation (TVC) 14(23) Case nr: 3 89kW@18rpm, Flyw=1.2kgm2, No Damper AB VOLVO PENTA TVC nr: 3622 Case nr: 3 89kW@18rpm, Flyw=1.2kgm2, 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... : TD52GE STAMFORD UC224F CALCULATION NUMBER... : 3622 INPUT FILE... : H:\DATA\tvc\indatafiler\tvc3622_3.dat COMPUTER INFORMATION... : APLver Windows OUR REF... : Peter Olsson ORDERER... : H Andersson ENGINE TYPE... : TD52GE UNITS IN FRONT OF ENGINE.. : None UNITS BEHIND FLYWHEEL...: STAMFORD UC224F Important! Comments:..The speedrange rpm must be avoided... + 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:..PO... ********************************************************************** Engine Data ********************************************************************** CYLINDER DIAMETER...[mm]: 18. STROKE (2 OR 4)...[-]: 4 COMPRESSION RATIO...[-]: 17.5 LENGTH OF STROKE...[mm]: 13. LENGTH OF CONNECTING ROD...[mm]: 21. RECIPROCATING MASS...[kg]: 2.77 HARMONIC COMPONENTS...[-]: HK93 CYLINDER MASS NUMBER...[-]: FIRING ANGLE...[deg]:

15 Torsional Vibration Calculation (TVC) 15(23) AB VOLVO PENTA TVC nr: 3622 Case nr: 3 89kW@18rpm, Flyw=1.2kgm2, 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 PULLEY CYLINDER CYLINDER CYLINDER CYLINDER FLYWHEEL DISC FAN ROTOR EXCITER

16 Torsional Vibration Calculation (TVC) 16(23) TVC 3622 ******************* MODE NO. 1******************* CASE 3 89kW@18rpm, Flyw=1.2kgm2, No Damper NATURAL FREQUENCY: HZ CYCLES/MIN. MASS MASS RELATIVE AMPLITUDE PLOT NUMBER NAME AMPLITUDE 1 PULLEY 1. I CYLINDER I CYLINDER I CYLINDER I CYLINDER I FLYWHEEL I+++ 7 DISC I+++ 8 FAN I 9 ROTOR I 1 EXCITER I ORDER VECTOR SUM NCRIT (R/S) (R/M) TVC 3622 ******************* MODE NO. 2******************* CASE 3 89kW@18rpm, Flyw=1.2kgm2, No Damper NATURAL FREQUENCY: HZ CYCLES/MIN. MASS MASS RELATIVE AMPLITUDE PLOT NUMBER NAME AMPLITUDE 1 PULLEY 1. I CYLINDER I CYLINDER I CYLINDER I CYLINDER I+ 6 FLYWHEEL I 7 DISC I 8 FAN I 9 ROTOR I+ 1 EXCITER I+ ORDER VECTOR SUM NCRIT (R/S) (R/M)

17 Torsional Vibration Calculation (TVC) 17(23) TVC nr:3622 Case:3 Flyw=1.2kgm2, No Damper Engine Power [kw] 1 9 Crankshaft Indicated TVC nr:3622 Case:3 89kW@18rpm, Flyw=1.2kgm2, No Damper Synthesis.5-12 Stress Amplitude [MPa] CYLINDER2 4 CYLINDER3 5 CYLINDER4 9 ROTOR

18 Torsional Vibration Calculation (TVC) 18(23) TVC nr:3622 Case:3 Flyw=1.2kgm2, No Damper Synthesis.5-12 Torque Amplitude [Nm] CYLINDER1 6 FLYWHEEL TVC nr:3622 Case:3 89kW@18rpm, Flyw=1.2kgm2, No Damper Synthesis.5-12 Torque Amplitude [Nm] FAN 9 ROTOR

19 Torsional Vibration Calculation (TVC) 19(23) Case nr: 4 89kW@18rpm, Flyw=2.6kgm2, No Damper AB VOLVO PENTA TVC nr: 3622 Case nr: 4 89kW@18rpm, Flyw=2.6kgm2, 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... : TD52GE STAMFORD UC224F CALCULATION NUMBER... : 3622 INPUT FILE... : H:\DATA\tvc\indatafiler\tvc3622_4.dat COMPUTER INFORMATION... : APLver Windows OUR REF... : Peter Olsson ORDERER... : H Andersson ENGINE TYPE... : TD52GE UNITS IN FRONT OF ENGINE.. : None UNITS BEHIND FLYWHEEL...: STAMFORD UC224F Important! Comments:.The stress in the generatorshaft is above the limit... + 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:.PO... ********************************************************************** Engine Data ********************************************************************** CYLINDER DIAMETER...[mm]: 18. STROKE (2 OR 4)...[-]: 4 COMPRESSION RATIO...[-]: 17.5 LENGTH OF STROKE...[mm]: 13. LENGTH OF CONNECTING ROD...[mm]: 21. RECIPROCATING MASS...[kg]: 2.77 HARMONIC COMPONENTS...[-]: HK93 CYLINDER MASS NUMBER...[-]: FIRING ANGLE...[deg]:

20 Torsional Vibration Calculation (TVC) 2(23) AB VOLVO PENTA TVC nr: 3622 Case nr: 4 89kW@18rpm, Flyw=2.6kgm2, 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 PULLEY CYLINDER CYLINDER CYLINDER CYLINDER FLYWHEEL DISC FAN ROTOR EXCITER

21 Torsional Vibration Calculation (TVC) 21(23) TVC 3622 ******************* MODE NO. 1******************* CASE 4 89kW@18rpm, Flyw=2.6kgm2, No Damper NATURAL FREQUENCY: HZ CYCLES/MIN. MASS MASS RELATIVE AMPLITUDE PLOT NUMBER NAME AMPLITUDE 1 PULLEY 1. I CYLINDER I CYLINDER I CYLINDER I+++ 5 CYLINDER I+++ 6 FLYWHEEL I++ 7 DISC I++ 8 FAN I 9 ROTOR I 1 EXCITER I ORDER VECTOR SUM NCRIT (R/S) (R/M) TVC 3622 ******************* MODE NO. 2******************* CASE 4 89kW@18rpm, Flyw=2.6kgm2, No Damper NATURAL FREQUENCY: HZ CYCLES/MIN. MASS MASS RELATIVE AMPLITUDE PLOT NUMBER NAME AMPLITUDE 1 PULLEY 1. I CYLINDER I CYLINDER I CYLINDER I CYLINDER I++ 6 FLYWHEEL I 7 DISC I 8 FAN I 9 ROTOR I+ 1 EXCITER.6277 I+ ORDER VECTOR SUM NCRIT (R/S) (R/M)

22 Torsional Vibration Calculation (TVC) 22(23) TVC nr:3622 Case:4 Flyw=2.6kgm2, No Damper Engine Power [kw] 1 9 Crankshaft Indicated TVC nr:3622 Case:4 89kW@18rpm, Flyw=2.6kgm2, No Damper Synthesis.5-12 Stress Amplitude [MPa] CYLINDER2 4 CYLINDER3 5 CYLINDER4 9 ROTOR

23 Torsional Vibration Calculation (TVC) 23(23) TVC nr:3622 Case:4 Flyw=2.6kgm2, No Damper Synthesis.5-12 Torque Amplitude [Nm] CYLINDER1 6 FLYWHEEL TVC nr:3622 Case:4 89kW@18rpm, Flyw=2.6kgm2, No Damper Synthesis.5-12 Torque Amplitude [Nm] 9 8 8FAN 9 ROTOR