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: Mattias Englund Z Approved by (Dep. name, loc. tel.: Date approved Mats Petersson z Ordered by (Dep. name, loc. tel.): Design order: Gilsi Alden Z TVC Id: Engine: Power (kw): Speed (rpm): Pages: 6081 TAD531GE 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* Case nr: 3 110kW@1800rpm, STAND-BY, DAMPER 280* 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: 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.

2 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) 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 Windows NT OUR REF... : Mattias Englund ORDERER... : Lars-Erik Ohlsson ENGINE TYPE... : TAD531GE UNITS IN FRONT OF ENGINE.. : None UNITS BEHIND FLYWHEEL...: Leroy-Somer 442VS 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]: STROKE (2 OR 4)...[-]: 4 COMPRESSION RATIO...[-]: LENGTH OF STROKE...[mm]: LENGTH OF CONNECTING ROD...[mm]: RECIPROCATING MASS...[kg]: 2.77 HARMONIC COMPONENTS...[-]: HK93 CYLINDER MASS NUMBER...[-]: FIRING ANGLE...[deg]:

3 Torsional Vibration Calculation (TVC) 3(22) AB VOLVO PENTA TORVIB 98 version 3.1 (R-292f) 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 CYLINDER CYLINDER CYLINDER CYLINDER FLYWHEEL DISC FAN ROTOR EXCITER

4 Torsional Vibration Calculation (TVC) 4(22) TVC 6081 ******************* MODE NO. 1******************* CASE 1 110kW@1800rpm, STAND-BY, NO DAMPER NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I CYLINDER I CYLINDER I CYLINDER I CYLINDER I FLYWHEEL I DISC I FAN I 9 ROTOR I 10 EXCITER I TVC 6081 ******************* MODE NO. 2******************* CASE 1 110kW@1800rpm, STAND-BY, NO DAMPER NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I CYLINDER I CYLINDER I CYLINDER I CYLINDER I+ 6 FLYWHEEL I 7 DISC I 8 FAN I 9 ROTOR I+ 10 EXCITER I

5 Torsional Vibration Calculation (TVC) 5(22) TVC 6081 ******************* MODE NO. 3******************* CASE 1 110kW@1800rpm, STAND-BY, NO DAMPER NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I CYLINDER I+++ 3 CYLINDER I 4 CYLINDER I 5 CYLINDER I 6 FLYWHEEL I+ 7 DISC I+ 8 FAN I 9 ROTOR I 10 EXCITER I TVC 6081 ******************* MODE NO. 4******************* CASE 1 110kW@1800rpm, STAND-BY, NO DAMPER NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I 2 CYLINDER I 3 CYLINDER I 4 CYLINDER I 5 CYLINDER I 6 FLYWHEEL I 7 DISC I 8 FAN I 9 ROTOR I 10 EXCITER I

6 Torsional Vibration Calculation (TVC) 6(22) TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:1 STAND-BY, NO DAMPER Engine Power [kw] Crankshaft Indicated TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:1 STAND-BY, NO DAMPER Synthesis Stress Amplitude [MPa] CYLINDER1 3 CYLINDER2 4 CYLINDER3 5 CYLINDER4 9 ROTOR

7 Torsional Vibration Calculation (TVC) 7(22) TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:1 STAND-BY, NO DAMPER Synthesis Torque Amplitude [Nm] CYLINDER1 6 FLYWHEEL TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:1 110kW@1800rpm, STAND-BY, NO DAMPER Synthesis Torque Amplitude [Nm] ROTOR

8 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) 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 Windows NT OUR REF... : Mattias Englund ORDERER... : Lars-Erik Ohlsson ENGINE TYPE... : TAD531GE UNITS IN FRONT OF ENGINE.. : None UNITS BEHIND FLYWHEEL...: Leroy-Somer 442VS 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 ) 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]: STROKE (2 OR 4)...[-]: 4 COMPRESSION RATIO...[-]: LENGTH OF STROKE...[mm]: LENGTH OF CONNECTING ROD...[mm]: RECIPROCATING MASS...[kg]: 2.77 HARMONIC COMPONENTS...[-]: HK93 CYLINDER MASS NUMBER...[-]: FIRING ANGLE...[deg]:

9 Torsional Vibration Calculation (TVC) 9(22) AB VOLVO PENTA TORVIB 98 version 3.1 (R-292f) 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 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) 10(22) TVC 6081 ******************* MODE NO. 1******************* CASE 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I+ 2 CYLINDER I+ 3 CYLINDER I+ 4 CYLINDER I 5 CYLINDER I 6 FLYWHEEL I 7 DISC I 8 FAN I 9 ROTOR I 10 EXCITER I 11 DAMPERRING I TVC 6081 ******************* MODE NO. 2******************* CASE 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I CYLINDER I CYLINDER I CYLINDER I CYLINDER I FLYWHEEL I DISC I FAN I 9 ROTOR I 10 EXCITER I 11 DAMPERRING I

11 Torsional Vibration Calculation (TVC) 11(22) TVC 6081 ******************* MODE NO. 3******************* CASE 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I CYLINDER I CYLINDER I CYLINDER I CYLINDER I+ 6 FLYWHEEL I 7 DISC I 8 FAN I 9 ROTOR I+ 10 EXCITER I+ 11 DAMPERRING I TVC 6081 ******************* MODE NO. 4******************* CASE 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I CYLINDER I+++ 3 CYLINDER I 4 CYLINDER I 5 CYLINDER I 6 FLYWHEEL I+ 7 DISC I+ 8 FAN I 9 ROTOR I 10 EXCITER I 11 DAMPERRING I

12 Torsional Vibration Calculation (TVC) 12(22) TVC 6081 ******************* MODE NO. 5******************* CASE 2 110kW@1800rpm, STAND-BY, DAMPER 248*32 NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I 2 CYLINDER I 3 CYLINDER I 4 CYLINDER I 5 CYLINDER I 6 FLYWHEEL I 7 DISC I 8 FAN I 9 ROTOR I 10 EXCITER I DAMPERRING I

13 Torsional Vibration Calculation (TVC) 13(22) TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:2 STAND-BY, DAMPER 248*32 Engine Power [kw] Crankshaft Indicated TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:2 STAND-BY, DAMPER 248*32 Synthesis Stress Amplitude [MPa] CYLINDER1 3 CYLINDER2 4 CYLINDER3 5 CYLINDER4 9 ROTOR

14 Torsional Vibration Calculation (TVC) 14(22) TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:2 STAND-BY, DAMPER 248*32 Synthesis Torque Amplitude [Nm] CYLINDER1 6 FLYWHEEL TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:2 110kW@1800rpm, STAND-BY, DAMPER 248*32 Synthesis Torque Amplitude [Nm] ROTOR

15 Torsional Vibration Calculation (TVC) 15(22) TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:2 STAND-BY, DAMPER 248*32 Synthesis Power Loss [W] DAMPERRING

16 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) 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 Windows NT OUR REF... : Mattias Englund ORDERER... : Lars-Erik Ohlsson ENGINE TYPE... : TAD531GE UNITS IN FRONT OF ENGINE.. : None UNITS BEHIND FLYWHEEL...: Leroy-Somer 442VS 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]: STROKE (2 OR 4)...[-]: 4 COMPRESSION RATIO...[-]: LENGTH OF STROKE...[mm]: LENGTH OF CONNECTING ROD...[mm]: RECIPROCATING MASS...[kg]: 2.77 HARMONIC COMPONENTS...[-]: HK93 CYLINDER MASS NUMBER...[-]: FIRING ANGLE...[deg]:

17 Torsional Vibration Calculation (TVC) 17(22) AB VOLVO PENTA TORVIB 98 version 3.1 (R-292f) 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 CYLINDER CYLINDER CYLINDER CYLINDER FLYWHEEL DISC FAN ROTOR EXCITER DAMPERRING N O T E: Branched Shaft System, Connection Point: 11->1

18 Torsional Vibration Calculation (TVC) 18(22) TVC 6081 ******************* MODE NO. 1******************* CASE 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I CYLINDER I CYLINDER I CYLINDER I CYLINDER I FLYWHEEL I++ 7 DISC I++ 8 FAN I 9 ROTOR I 10 EXCITER I 11 DAMPERRING I TVC 6081 ******************* MODE NO. 2******************* CASE 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I CYLINDER I CYLINDER I CYLINDER I+++ 5 CYLINDER I 6 FLYWHEEL I 7 DISC I 8 FAN I+ 9 ROTOR I EXCITER I DAMPERRING I

19 Torsional Vibration Calculation (TVC) 19(22) TVC 6081 ******************* MODE NO. 3******************* CASE 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I CYLINDER I 3 CYLINDER I 4 CYLINDER I 5 CYLINDER I 6 FLYWHEEL I+ 7 DISC I+ 8 FAN I 9 ROTOR I 10 EXCITER I 11 DAMPERRING I TVC 6081 ******************* MODE NO. 4******************* CASE 3 110kW@1800rpm, STAND-BY, DAMPER 280*40 NATURAL FREQUENCY: HZ CYCLES/MIN. 1 HUB+PULLEY I 2 CYLINDER I 3 CYLINDER I 4 CYLINDER I 5 CYLINDER I 6 FLYWHEEL I 7 DISC I 8 FAN I 9 ROTOR I 10 EXCITER I DAMPERRING I

20 Torsional Vibration Calculation (TVC) 20(22) TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:3 STAND-BY, DAMPER 280*40 Engine Power [kw] Crankshaft Indicated TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:3 STAND-BY, DAMPER 280*40 Synthesis Stress Amplitude [MPa] CYLINDER1 3 CYLINDER2 4 CYLINDER3 5 CYLINDER4 7 DISC 8 FAN 9 ROTOR 10 EXCITER

21 Torsional Vibration Calculation (TVC) 21(22) TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:3 STAND-BY, DAMPER 280*40 Synthesis Torque Amplitude [Nm] CYLINDER1 6 FLYWHEEL TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:3 110kW@1800rpm, STAND-BY, DAMPER 280*40 Synthesis Torque Amplitude [Nm] ROTOR

22 Torsional Vibration Calculation (TVC) 22(22) TORVIB 98 version 3.1 (R-292f) TVC nr:6081 Case:3 STAND-BY, DAMPER 280*40 Synthesis Power Loss [W] DAMPERRING