Formula to calculate the engine inertia

  • Context: Undergrad 
  • Thread starter Thread starter blade9265rr
  • Start date Start date
  • Tags Tags
    Engine Formula Inertia
Click For Summary

Discussion Overview

The discussion revolves around calculating the required inertia of a flywheel when changing from a larger diameter (1.8 m) to a smaller diameter (1.2 m) flywheel for an engine system. Participants explore the implications of this change on the overall system inertia, considering factors such as mass, moment of inertia, and energy loss in reciprocating parts.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant inquires about the calculation of the required inertia for a flywheel when changing its diameter, mentioning the engine mass of 5200 kg.
  • Another participant suggests that the mass of the engine is irrelevant and emphasizes the need to consider energy loss from reciprocating parts when not on a power stroke.
  • Some participants propose using the formula for moment of inertia (MOI = 0.5mr²) to find the mass needed for the new flywheel radius to maintain the same inertia as the original flywheel.
  • Concerns are raised about potential structural issues if the new flywheel is significantly thinner than the old one.
  • Participants discuss the relationship between radius and rotational inertia, noting that mass further from the center has a greater effect on MOI.
  • One participant expresses worry about vibration issues due to the thickness being almost the same between the old and new flywheels.
  • Another participant calculates the new mass required for the smaller flywheel and suggests a design approach to maintain the same moment of inertia while potentially reducing mass.
  • One participant requests calculations related to the total engine inertia based on specific engine details provided.
  • A participant mentions searching for answers related to minimum inertia requirements in a different thread.

Areas of Agreement / Disagreement

Participants express various viewpoints on the importance of mass, thickness, and design considerations for the flywheel. There is no clear consensus on the best approach to maintain the required inertia or the implications of the changes being made.

Contextual Notes

Participants reference specific formulas and calculations, but there are unresolved assumptions regarding the definitions of inertia and the effects of design changes on performance and vibration.

blade9265rr
Messages
6
Reaction score
0
Dear All,

Please help me about how to calculate the requirement inertia of flywheel when i changing from 1.8 m to 1.2 m diameter flywheel for the total system inertia. The mass for engine is 5200kg.
 
Science news on Phys.org
You need to know the energy loss caused by reciprocating parts when not on a power stroke. The mass of the engine is irrelevent. (as I am assiming that includes block)

Do you have the book Shigley - Mechanical Engineering Design?Acutally you may not need to do that as all. Do you want to keep the same inertia as the current larger flywheel gives? Why are you chaning flywheel diameter?
 
xxChrisxx said:
You need to know the energy loss caused by reciprocating parts when not on a power stroke. The mass of the engine is irrelevent. (as I am assiming that includes block)

Do you have the book Shigley - Mechanical Engineering Design?


Acutally you may not need to do that as all. Do you want to keep the same inertia as the current larger flywheel gives? Why are you chaning flywheel diameter?

Actually, i changing one unit second hand generator engine for replacement due to existing generator engine totally damaged. After complete installation the engine, the original flywheel cannot be use due to size not same with the alternator coupling. So, i still maintain the existing flywheel. What the limit size to change the flywheel?
 
If that is the case and the engine has similar power outputs all you want is the moment of inertia of the flywheel to be the same.

MOI= 0.5mr^2

for a cylindrical flywheel.

You need to weigh the current flywheel to find its mass and put it in that formula above to find the current MOI.

Use this MOI value to find the mass needed at the new radius flywheel using the same formula above. This will give a thickness needed to maintain the same inertia.

Compare the new thickness to the old, if it's much thinner you may have structural issues.
 
xxChrisxx said:
If that is the case and the engine has similar power outputs all you want is the moment of inertia of the flywheel to be the same.

MOI= 0.5mr^2

for a cylindrical flywheel.

You need to weigh the current flywheel to find its mass and put it in that formula above to find the current MOI.

Use this MOI value to find the mass needed at the new radius flywheel using the same formula above. This will give a thickness needed to maintain the same inertia.

Compare the new thickness to the old, if it's much thinner you may have structural issues.
So, when i using the smaller flywheel that means the thickness must be higher than bigger flywheel.
 
Yes, as the rotational inertia depends on radius.

The further away the mass is from the centre the biggesr its effect of MOI.

You will find your new flywheel will weight less than the old smaller one (less diameter)
 
xxChrisxx said:
Yes, as the rotational inertia depends on radius.

The further away the mass is from the centre the biggesr its effect of MOI.

You will find your new flywheel will weight less than the old smaller one (less diameter)
Ok. But I'm very worried with this flywheel. Because the thickness almost same. It will be effect more vibration or what?
 
If you ran the calcualtion and the thickness as almost the same that's fine. There's no problem.

As long as the flywheel is well made and balanced there should be the same or less vibration.

What is the mass/weight of the current flywheel?
 
xxChrisxx said:
If you ran the calcualtion and the thickness as almost the same that's fine. There's no problem.

As long as the flywheel is well made and balanced there should be the same or less vibration.

What is the mass/weight of the current flywheel?

Current mass = 950 kg (d=1.2m)
Old mass = 2000 kg (d=1.8m)
 
  • #10
Ahhhhh you are going to a smaller diameter, silly me! Sorry I thought you were going from a smaller to a larger!
Ok so you started with a 2000kg 1.8m diamter.

MOI = (2000*0.9^2)/2
= 810 kgm^2

810 = (m*.6^2)/2
m = 4500 kg.

new mass = 4500kg

This is going to be a much heavier flywheel if you keep it as a cylinder. So it'll be much thicker.

new flywheel thicknes. assuming steel.

mass = density * volume
mass = d * csa *h
4500 = 7850 * pi*0.6^2 *h

thickness = 0.5068 m

What you could do is make the flywheel thinner near the centre and thicker near the edge, this would allow the mass to be reduced but keep the moi the same.
 
  • #11
xxChrisxx said:
Ahhhhh you are going to a smaller diameter, silly me! Sorry I thought you were going from a smaller to a larger!



Ok so you started with a 2000kg 1.8m diamter.

MOI = (2000*0.9^2)/2
= 810 kgm^2

810 = (m*.6^2)/2
m = 4500 kg.

new mass = 4500kg

This is going to be a much heavier flywheel if you keep it as a cylinder. So it'll be much thicker.

new flywheel thicknes. assuming steel.

mass = density * volume
mass = d * csa *h
4500 = 7850 * pi*0.6^2 *h

thickness = 0.5068 m

What you could do is make the flywheel thinner near the centre and thicker near the edge, this would allow the mass to be reduced but keep the moi the same.

What the relative of the total engine inertia. What the effect if I'm still maintain that flywheel.
The detail of my engine are below :
Stroke : 380mm
Bore : 320mm
Speed : 600 rpm
Power : 4000 kW
Crank pin "d" : 256mm
Journal "d" : 280 mm
Web "d" : 460mm
Damper "d" : 474mm; weight : 24kg
Crankshaft "d" : 330mm

That inertia satisfies for our engine. Can you prove it by calculation for the detail above. If the details enough please contact me asap.
 
  • #12

Similar threads

  • · Replies 49 ·
2
Replies
49
Views
6K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 6 ·
Replies
6
Views
1K