Marine Engine Propeller Marine Engine Propeller ME 270 Dr. Granda Dong-Un Sul.
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Transcript of Marine Engine Propeller Marine Engine Propeller ME 270 Dr. Granda Dong-Un Sul.
![Page 1: Marine Engine Propeller Marine Engine Propeller ME 270 Dr. Granda Dong-Un Sul.](https://reader035.fdocuments.us/reader035/viewer/2022062217/56649f1c5503460f94c327e7/html5/thumbnails/1.jpg)
Marine Engine Marine Engine PropellerPropeller
Marine Engine Marine Engine PropellerPropeller
ME 270 ME 270
Dr. GrandaDr. Granda
Dong-Un Sul Dong-Un Sul
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Marine Engines
Temporary engine
N60ENTM40: 400 HP
An old marine engine manufactured by
Gray Company
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Problem Statement
• A marine engine connected to a propeller through gear is shown below.
• The mass moments of inertia of the flywheel, engine, gear 1 and 2 and the propeller (in kg-m^2) are 9000, 1000, 250, 150, and 2000, respectively.
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Schematic
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Objectives
• By using the Matlab, obtain the transfer functions and state form and run a test to draw reasonable outputs
• Build a bond graph of the system in CAMP-G• Find natural frequency of the system • Compare the results from Matlab with the
ones in a reference book• With another software, find the frequency of
the model as well (i.e. Nastran4D)
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3D View
• For better understanding, this model was built in Solidworks.
• This model will transfer to Nastran4D to simulate.
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Parts
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Initial Bond Graph• Two I-elements
turn out in red which means that there are two derivative causalities in this system.
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Bond Graph with derivative causality
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Attaching C-element• To eliminate
derivative causality, C-elements are added into the system.
• As C-values get smaller, they can be negligible.
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Differential Equationsfrom Matlab
• Number of States 10• dP21=Q25/C25• dQ25=P11/I11*T13x14-P21/I21• dQ24=P11/I11-P23/I23• dP23=Q24/C24• dP19=Q17/C17• dQ17=P11/I11*T13x14-P19/I19• dQ4=SF1-P6/I6• dQ9=P6/I6-P11/I11• dP6=Q4/C4-Q9/C9• dP11=Q9/C9-Q17/C17*T13x14-Q25/C25*T13x14-
Q24/C24
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Simulink
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State-Space function
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Transfer function
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Nastran4D Analysis
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Frequency derived from Nastran4D
• Flywheel = 3.09E-5 Hz• Gear1 = 2.39E-5 Hz• Engine = 2.45E-5 Hz• Propeller = 1.08E-5 Hz• Gear2 = 1.09E-5 Hz
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Conclusion• Nastran4D will be helpful with accurate
values in the system to find the frequency of it.
• However, I failed obtaining the appropriate frequency because the values were not given sufficiently.
• Plus, by using the Matlab, I couldn’t get the frequency of the system because determinant for A matrix became 0.
• I believed that to perform much more accurate analysis of the system more data should be provided.
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Simple Model (Alternative approach)
• Schematic• This is the schematic of
the simple model which is equivalent to the system above with 5 mass moments of inertia. J1 can be obtained by summation of mass moment of inertia of the engine, gear1 and gear2. To get the torsional stiffnesses of shafts1 and 2, a shear modulus of 80 x 10^9 N/m^2 for steel is used to find the natural frequency of the system below.
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Bond Graph
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Differential Equations
• dP11=Q8/C8• dQ4=SF1-P10/I10• dQ8=P10/I10-P11/I11• dP10=Q4/C4-Q8/C8
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Simulink
• Based on the differential equation, simulink was built in the Matlab.
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A Matrix
• From the Matlab, A matrix was obtained like shown on the left side.
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A Matrix with initial values
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Calculation by hand
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Solution from the book
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Comparison(Natural Frequency)
• 1588.46 ± 1503.1483 (book)
• 1588.46 ±1503.147882 (Matlab)
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Nastran4D
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Nastran4D• Frequency of the system from Nastran4D
with initial values • Mass1 = 7400.00 Kg• Mass2 = 22222.22 Kg
• J1 = 2.8E-5 Hz• J2 = 1.53E-5 Hz
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Conclusion• CAMP-G model helps find the natural frequency as it
interfaces with Matlab, which generates A matrix.• The natural frequency calculated by Matlab is very
accurate.• To get right results from Matlab, initial values should
sufficiently be given like the second simple model. • Due to errors taking place for the first model, complicated
one, in some reasons, failure may be unavoidable. • A bond graph will be a very useful tool once engineers
understand how it works. • It helps engineers to save their times and efforts without
setting mathematical equations for the system that they want to work out.
• However, there is disadvantage of it. In other words, no one can guarantee whether the bond graph is correct or not. With the wrong bond graph, all analysis can be useless.
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Enjoy your winter break!! Merry Christmas and Happy
New Year!!
Thank you very much!