International Journal of Theoretical and Applied Mechanics

  • Year: 2008
  • Volume: 3
  • Issue: 2

Analysis and Synthesis of Fourbar Mechanism

  • Author:
  • L. Roy, A. Sen, R. P. Chetia, M. J. Borah
  • Total Page Count: 16
  • DOI:
  • Page Number: 171 to 186

Department of Mechanical Engineering, National Institute of Technology, Silchar-788010, India.

*Corresponding Author.

OAPBC

the complete four bar mechanism

P

coupler point

a

crank

d

ground link

b

coupler link rocker

e

length of one of the sides of the ternary link

f

length of the line joining A and C

θ

angle between the a and d

β

the coupler angle

γ

angle made by the link b with the hz. line passes through the point A

RA,RP

position vector of the point A, P

RPA

the relative position of point P w.r.t point A

VA

Velocity of point A

VP

Velocity of point P

VPA

Velocity of point P w.r.t point A

AA

Acceleration of the point A

AP

Acceleration of the point P

APA

Acceleration of the point P w.r.t point A

α1

Acceleration of the crank

α2

Acceleration of the coupler

α3

Acceleration of the rocker

φ

angle made by the line joining point A and C with the horizontal line passes through the point A.

F12

force acting on link 1 due to link 2.

F32

force acting on link 3 due to link 2.

F43

force acting on link 4 due to link 3.

F14

force acting on link 1 due to link 4.

T12

torque on link 1 due to link 2.

R12

relative position of link 2 w.r.t link 1

R32

relative position of link 3 w.r.t link 2.

R34

relative position of link 4 w.r.t link 3.

R14

relative position of link 4 w.r.t link 1.

Abstract

Computer programme and Genetic algorithm is used in analysis and synthesis of a planar four-bar mechanism. Link dimensions were varied to obtain coupler path maps. Position, velocity, acceleration and the force at the coupler point at various input angles were obtained and the designed path is utilized in the working models. Plot of variation of the link angles, variation of velocity and acceleration of the coupler point with the crank angle is obtained. It is found that ratio of velocity of crank and coupler point varies between 4.48 and 0.38, acceleration of the coupler point is maximum. The four bar mechanism can be used to transfer small jobs at regular interval of time. With addition of another four bar mechanism with this, a papad making machine is shown as an useful application.

Keywords

coupler curves, coupler point, Grashof's law, four bar mechanism