elliptical Trammel micro-project report

introduction,working, principle, construction, advantages,description.

1. INDEX



Sr. No Page No
1 Introduction 01
2 Inversion 02
3 Construction 03
4 Importance of Elliptical Trammel 04
5 Application 04
6 Conclusion 05
7 references 05

2. ELLIPTICAL TRAMMEL.

PAGE NO.1

 INTRODUCTION:
 The elliptical trammel is an inversion of a double sliding crank
mechanism.
 The elliptical trammel is also known as the elliptical trammel or the
trammel of Archimedes.
 It is a simple mechanism which can trace an exact elliptical path.
 A trammel of Archimedes is a mechanism that generates the shape of
an ellipse. It consists of two sliders which are restricted to
perpendicular channels or rails and a rod which attached is attached to
the sliders by pivot at fixed position along the road. As the slider
move back and forth, each along its channel, the end of the rod moves
in an elliptical path. A line segment of fixed length whose end slide
along two perpendicular axes. During the motion, a fixed point on the
segment traces an ellipse with one quarter of the ellipse in each
quadrant and traces a complete graph as an ellipse. It is a mechanism
of drawing an ellipse.
 This mechanism is used to draw, cut or machine ellipses e.g. in wood
or other sheet materials. It has the appropriate instrument attached to
the rod e.g. pencil, knife, router etc.

3. ELLIPTICAL TRAMMEL.

PAGE NO.2


 Inversion:
 Elliptical trammel is an inversion of double slider crank chain
mechanism. A double slider crank chain consists of a four links
forming two sliding pairs and two turning pairs hence called as RRPP
mechanism
1) Link 1 is slider – I.
2) Link 2 is coupler or connecting rod.
3) Link 3 is a slider – II.
4) Link 4is a frame or slotted plate.

FIG. NO: 01. ELLIPTICAL TRAMMEL.
1. pair A – Sliding pair, link number 01 and link 04
2. pair B – Turning pair , link 01 and 02.
3. Pair C – Turning pair, link 02 and link 03.
4. Pair D – Sliding pair, link 03 and link 04.

4. ELLIPTICAL TRAMMEL.

PAGE NO.3

 Construction:
 It consists of two shuttles which are confined two perpendicular
channels which are attached to the frame by pivot at fixed position
along the road. In which link 1 is the slider-I, link 2 is the connecting
rod, link 3 becomes another slider i.e. slider-II and link 3 are the fixed
link. There are one slider travels horizontally and another slider travels
vertically direction. Our focus is to get the required approximate
straight motion for bottle shaking with the help of elliptical trammel
mechanism.

5. ELLIPTICAL TRAMMEL.

PAGE NO.4

 Importance of Elliptical Trammel:
1) Ellipses are important curve used in the mathematical sciences. Foe
example, the planets follows elliptical orbit around the sun
2) Elliptical traces are required in surveying, enlarging, architecture and
machines drawing for two main reasons,
1. Any circle viewed at an angle will appear to be ellipse.
2. Ellipse were common architecture element, often use in celling,
staircases and windows and need to be rendered accurately in
drawing.




 Application:
1) It is use as automatic tool changer mechanism.
2) Elliptical trammel is used for drawing ellipse.

6. ELLIPTICAL TRAMMEL.

PAGE NO.5


 Conclusion:
elliptical trammel is a kinematic inversion of double slider crank
mechanism which is to draw ellipse of different major and minor axis.
Again, there are three such points which gives different traces of motion.
The point at the pin joint of both sliders gives straight motion while is
located at exact center of crank then it gives a complete circle. Elliptical
trammel is treated as RRPP mechanism as it consists of two rotating pairs
and two sliding pairs in which the slider form two sliding pairs and the
connecting rog makes the two rotating pairs and the fixed link act as a
frame of mechanism. Thus, here is an appropriate straight motion is taken
as an application of an application of an elliptical trammel.


 References:
1. Theory of machine by DR. R.K. Bansal.
2. Theory of machine by S.D. Ambatkar.

7. ELLIPTICAL TRAMMEL.

PAGE NO.6