International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 05 | May -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1521
Review of Synthesis of Four BAR Mechanism
Siddharth Shete
1
, Nitesh Kumar
2
, Praphulla Nalawade
3
, Prakash Tripathi
4
Assistant Professor, Dept. of Mechanical Engineering, Dr. D Y Patil Institute of Engineering, Management &
Research, Akurdi, Pune, Maharashtra, India
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Abstract - This Paper briefly covers some commonly used
graphical and analytical techniques and also different
optimization algorithms. This is to review the important
aspects which are essentially required in the analysis
throughout. The methods are briefly reviewed as they are
selectively used to cross verify the results of the proposed
algorithm.
Key Words: Graphical Methods, Two Position Synthesis,
Three Position Synthesis, Objective Function,
Evolutionary Algorithm.
1. GRAPHICAL METHODS FOR DIMENSIONAL
SYNTHESIS
This method [8] is employed in the path generation problem.
The path generation problem is one of the type or subset of
motion generation problem. In the path generation problem
certain points are prescribed for successive motion of
coupler link, these points are known as a precision points.
The basic path synthesis starts with two precision positions.
This type of synthesis is used to solve up to four precision
positions. The methodology for two position synthesis is
given below.
1.1 Two position synthesis
The objective is to move a crank from point A1 to A2 so that
output link should move from point B1 to B2 as shown in Fig
-1. To achieve this objective following geometrical method is
used.
Fig -1: Two Position Synthesis
The construction lines are drawn to connect A1 to A2 and B1
to B2. The lines A1A2 and B1B2 are then bisected and
extended in the convenient directions as shown. Then O2 &
O4 are conveniently selected as fixed pivots. The link 2 is O2
connected with A1 and the link 4 is O4 connected to B1. The
line A1B1 is link-3, while O2O4 is link 1.
1.2 Three position synthesis
The objective is to move a crank through three points A1, A2
and A3 so that output link should move through points B1,
B2 and B3 as shown in Fig -2. To achieve this objective
following geometrical method is used.
Fig -2: Three Position Synthesis
The construction lines are drawn to connect B2 to D and B3
to D. The line B2D is rotated through angle ϕ12 to get the
point B2' and the line B3D is rotated through angle ϕ13 to
get the point B3'. The lines B2B2' and B3B3' are then
bisected and extended in the convenient directions as
shown. The intersection point is C1. The lines are drawn to
connect A to B1, B1 to C1 and C1 to D to form the four bar
mechanism.
The graphical procedure employed for the two-position
synthesis problem can be extended up to the four position
synthesis. As the number of precision points to be traced
increases, the graphical method fails to give a correct
solution.