Gear Geometry & Applied Theory: Intro Maths Needed?

[bugatti79]

Folks,

I have a book Gear Geometry and Applied Theory by Litvin. It looks pretty hairy and the diagrams/schematics of the kinematic relations etc are difficult to understand.
What branch of mathematics does this fall under, diferential geometry and topology?

I think I may need to get some introductory book before I delve into this gear theory...

Any suggestions?

Thanks

 

[SteamKing]

I would say more towards analytic geometry. Unless you are actually trying to understand how to design the different gear profiles, I wouldn't lose much sleep over this book. The essential bit is knowing how the gear ratio affects shaft speed and torque.

 

[engnr_arsalan]

you don't have to go in deep maths..u can understand theory of gearing if u have little bit knowledge of design..u should read theory of machines by khurmi and gupta

 

[timthereaper]

If you're interested in doing more than just working with gears, like designing different involute profiles or analyzing forces on the teeth (which isn't the case for 99% of people), then I'm sure that's a good resource. Otherwise, SteamKing's suggestion is the best course of action.

 

[Aero_UoP]

Shigley's Mechanical Engineering Design - Chapters 13, 14, 15 (in the 8th Edition) are for gears - has everything you need to know.

 

[OldEngr63]

For involute gears, the branch of mathematics is called involutometry. As noted, most of this you don't need to derive if you are willing to accept the results without proof.

 

[Baluncore]

http://en.wikipedia.org/wiki/Gear

 

[OldEngr63]

The OP asked for some introductory material on gearing. I would suggest

Mechanical Engineering Design - Shigley & Mischke
Mechanics of Machines - Doughty
Mechanisms and Dynamics of Machinery - Mabie & Ockvirk

 

[Murli]

Darle Dudely - Gear Handbook is very good. A good understanding of analytical geometry is required.

 

[OldEngr63]

I would second the Dudley book, Gear Handbook, if you can find a copy. This book is very hard to locate.

 

[Baluncore]

This is Dudley's Gear Handbook. US$47 from India?
http://www.abebooks.com/servlet/SearchResults?an=townsend&sts=t&tn=dudley's+gear+handbook

 

[felmon38]

You do have a very good book about gears in deep. You can calculate second order geometry of hypoid gears, for instance. I think you only need to know differential geometry and kinematics.

 

[Murli]

I have gone through the whole book several times.There is a gear design software called kissoft. I have customers sources too throughout the world. . .Please suggest me something.

 

[OldEngr63]

What do you want/mean when you say, "Please suggest me something"?

 

[Murli]

This is Dudley's Gear Handbook. US$47 from India?
http://www.abebooks.com/servlet/SearchResults?an=townsend&sts=t&tn=dudley's+gear+handbook

Folks,

I have a book Gear Geometry and Applied Theory by Litvin. It looks pretty hairy and the diagrams/schematics of the kinematic relations etc are difficult to understand.
What branch of mathematics does this fall under, diferential geometry and topology?

I think I may need to get some introductory book before I delve into this gear theory...

Any suggestions?

Thanks

Are you still studying gear design.