Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- Detail ppt on Scotch Yoke Mechanism. by Mandar Gadkari 12163 views
- Oldham Coupling Mechanism by indian institute ... 2359 views
- Whitworth Quick Return Mechanism by Harshit Sankhla 22324 views
- Design, Fabrication and Analysis of... by Mohammed Naseerud... 15196 views
- Oldham’s coupling by Akash Sood 7754 views
- Introduction to Mechanisms by Hareesha N Gowda,... 28387 views

No Downloads

Total views

14,191

On SlideShare

0

From Embeds

0

Number of Embeds

8

Shares

0

Downloads

506

Comments

0

Likes

15

No embeds

No notes for slide

- 1. Introduction The Elliptical Trammel (also known as the Elliptic Trammel, or the Trammel of Archimedes) is a simple mechanism which can trace an exact elliptical path. It consists of two shuttles which are confined (trammelled) to perpendicular channels or rails, and a rod which is attached to the shuttles by pivots at fixed positions along the rod.
- 2. Introduction As the shuttles move back and forth, each along its channel, the end of the rod moves in an elliptical path. The semi-axes a and b of the ellipse are the distances between the end of the rod and the two pivots. An ellipsograph is a trammel of Archimedes intended to draw, cut, or machine ellipses, e.g. in wood or other sheet materials. Usually the distances a and b are adjustable, so that the size and shape of the ellipse can be varied.
- 3. Inversion Elliptical Trammel is an inversion of double crank chain mechanism. A double slider crank chain consists of four links forming two sliding pairs and two turning pairs. Link 1 Frame Link 2 Slider –I Link 3 Coupler Link 4 Slider - II
- 4. Inversion Pair A- Sliding pair, Link 1 and Link 4. Pair B- Turning pair, Link 1 and Link 2. Pair C-Turning pair, Link 2 and Link 3. Pair D-Sliding pair, Link 3 and Link 4.
- 5. Mechanism This inversion is obtained by fixing link 4. The mechanism so obtained is called elliptical trammel which is shown in Figure . This mechanism is used to draw ellipse. The link 1, which is slider, moves in a horizontal slot of fixed link 4. The link 3 is also a slider moves in vertical slot.
- 6. Mechanism When the links 1 and 3 slide along their respective grooves, any point on the link 2 such as P traces out an ellipse on the surface of link 4, as shown in Fig. A little consideration will show that AP and BP are the semi-major axis and semi-minor axis of the ellipse respectively. This can be proved as follows :
- 7. Let us take OX and OY as horizontal and vertical axes and let the link BA is inclined at an angle with the horizontal, as shown in Fig. Now the co-ordinates of the point P on the link BA will be x = PQ = AP cos t and y = PR = BP sin t x/AP = cos t Similarly, y/BP = sin t
- 8. On Squaring and Adding , we get, This is the equation of an ellipse. Hence the path traced by point P is an ellipse whose semi- major axis is AP and semi-minor axis is BP.
- 9. Applications It is used in automatic tool changer in a machining. Elliptical Trammels are used for drawing large ellipses. They can be used to draw smaller ellipses but only draw one half at a time, having to be reversed to draw the complete ellipse.

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment