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Wind Load Inertia

07/23/2014 5:00 AM

hello everyone,

I am sizing an actuator that is supposed to drive an assembly of solar panels. In order to calculate torque, I have to find the mass moment inertia (MMI) of structure and MMI due to wind. I saw an equation

J = P*A*L*C

where, P is local pressure over the body

A is reference area

L reference length

C is moment coefficient, dimensionless

My question is,

Is this equation Correct ?? it does not satisfy dimensional analysis.

Do you know any other way of calculating Inertia due to wind load on structure.

Let me know if you feel anything is missing.

Thanks

-NTR

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#1

Re: Wind load inertia

07/23/2014 5:41 AM

The moment of inertia depends on the mass distribution and dimensions of a body. It has nothing to do with wind. Do you mean torque?

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#2
In reply to #1

Re: Wind load inertia

07/23/2014 5:45 AM

yeah, I am calculating torque.

may be I addressed it in a wrong way, It is Inertia due to wind load.

Thanks

- NTR

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#3

Re: Wind load inertia

07/23/2014 6:27 AM

I think you are confusing pressure, force, torque, moment, inertia, and moment of inertia (which is somewhat different from its constituent terms).

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#4
In reply to #3

Re: Wind load inertia

07/23/2014 6:31 AM

sorry, if it's confusing.

my intention is to rotate an assembly of solar panels. I have found the MMI of the structure, which will help me to arrive at torque. but, the effect of wind has to be considered in concluding the final torque required to rotate the assembly.

I hope, it's bit clear now.

Thanks,

- NTR

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#5

Re: Wind Load Inertia

07/23/2014 7:55 AM

Make the pivot point be at the center, and as near as possible to the plane, of the panel structure. Then except for wind speed variations from one side of the panel to the other, it will be nearly balanced.

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#6
In reply to #5

Re: Wind Load Inertia

07/23/2014 8:49 AM

Thank you,

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#7
In reply to #6

Re: Wind Load Inertia

07/23/2014 9:02 AM

The angular acceleration will be so small (or only needs to be so small) that the torque required to accelerate (which is where the moment of inertia comes in) will be negligible compared with the torque to move against wind pressure. BUT there will be a torque required to move against the wind pressure, and torque required to move any unbalanced load - neither having anything to do with moment of inertia.

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#8

Re: Wind Load Inertia

07/23/2014 9:26 AM

Depends which way the wind is blowing.

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#9

Re: Wind Load Inertia

07/23/2014 10:03 AM

Summarizing.

For rotating the rig, you have the inertia of the mass plus any wind resistance. I assume that the rotation is slow, even when moving to the morning position. Wind force or resistance is proportional to velocity squared. If you walk at 5MPH through still air, you feel minimum resistance, will the outer edge of the sail be moving faster than that? The inner, close to the pivot, will be almost still.

A blowing wind is something else, it could put a force all across the rig. For that, you need the design (fifty year?) wind for the area. You may have to use code prescribed wind speeds.

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#10

Re: Wind Load Inertia

07/23/2014 11:29 PM

http://www.wikihow.com/Calculate-Wind-Load Note that for some angles, a flat plate will generate more lift force than when it is perpendicular to the wind, so don't take the perpendicular as your defining value.

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#11
In reply to #10

Re: Wind Load Inertia

07/23/2014 11:47 PM

A nice technical dissertation with real life figures, not just calculations. http://www.iawe.org/Proceedings/BBAA7/X.Ortiz.pdf

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#12

Re: Wind Load Inertia

07/24/2014 12:14 AM

Thank you all for valuable suggestions.

Will definitely get back and share how i solved this. Please keep sharing your ideas.

Thanks,

- NTR

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#13

Re: Wind Load Inertia

07/24/2014 5:02 AM

I think others have dealt with your problem, but if the equation does not satisfy dimensional analysis it cannot be correct.

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#14
In reply to #13

Re: Wind Load Inertia

07/24/2014 6:00 AM

The equation has the correct dimensions for torque (often denoted by J). Nothing to do with moment of inertia.

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#15
In reply to #14

Re: Wind Load Inertia

07/24/2014 6:54 AM

OK, I didn't know what J was (he didn't say), just took his word for it that it does not satisfy dimensional analysis!

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#16
In reply to #15

Re: Wind Load Inertia

07/24/2014 6:59 AM

I wasn't complaining about your post .

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#17
In reply to #15

Re: Wind Load Inertia

07/25/2014 12:51 AM

i'm sure, that J is not referring to Torque here. So, you were right.

and even john is right it results in unit of torque.

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