4 bar linkage matlab code

Matlab Code

Position Analysis One-DOF Linkage

Vector Loop Representation of Linkage

Position Analysis

Position Analysis

Position Analysis

The Vector Loop Equation for a Fourbar Linkage

Position Analysis

The Vector Loop Equation for a Fourbar Linkage

Position Analysis

The Vector Loop Equation for a Fourbar Linkage

SUBJECT: DIMENSIONAL SYNTHESIS

Grashof’s Law for a Four Bar Linkage

REPORTS OF PROJECT
PROBLEM: Design a fourbar Grashof crank-rocker to give ? (Everyone will determine the terms given by professor) of rocker rotation with equal time forward and back, from a constant speed motor input.

1- Obtain graphics of angulars 𝞱2 -Time, 𝞱3 -Time ,

𝞱4 and µ (transmissions angle)-Time graphics by using Matlab for crank-rocker.

Bring your designed Matlab program by CD or USB Memory.

NOT 1-You can bring to my office the day you want to reports until December 2.

NOT 2- You can benefit from this book (Robert L. Norton:

Design of Machinery, Fourt Edition, SEE PAGES 102-103-104)

L

S

Q

P

· L is the longest link

· S identifies the shortest link

· P and Q are the other links

Grashof’s Law for a Four Bar Linkage

· L is the longest link

· S is the shortest link

· P and Q are the other links

Grashof’s law, states that if the sum of the shortest and longest links is not greater than the sum of the remaining than two links, at least one ofe the links will be revolving.

For the Class I case: S + L < P + Q

In this case, we get 3 different movements;

· Ground either link adjacent to the shortest and you get a crank-rocker, in which the shortest link will fully rotate and the other link fixed to ground will oscillate.

· Ground the shortest link and you will get a double- crank, in which both links fixed to ground make complete revolutions as does the coupler.

· Ground the link opposite the shortest and you will get a double-rocker, in which both links fixed to ground oscillate and only the coupler makes a full revolution.

For the Class I case: S + L < P + Q

The first movement;

· Ground either link adjacent to the shortest and you get a crank-rocker, in which the shortest link (S) will fully rotate and the other link fixed to ground (Q) will oscillate.

· At least one ofe the links will be revolving.

Crank-Rocker MechanismCrank-Rocker Mechanism

(Crank(S) makes a full revolution)(Crank(S) makes a full revolution)

For the Class I case: S + L < P + Q

The second movement;

Ground the shortest link and you will get a double- crank, in which both links fixed to ground (P and L) make complete revolutions as does the coupler.

· At least one ofe the links will be revolving

Double-Crank Mechanism

(L and P make a full revolution)

For the Class I case: S + L < P + Q

The third movement;

Ground the link opposite the shortest and you will get a double-rocker, in which both links fixed to ground oscillate and only the coupler (S) makes a full revolution according to Q.

· At least one ofe the links will be revolving

Double-Rocker Mechanism

(Coupler(S) makes a full revolution)

Coupler (Connectig Rod): a link that has complex motion and is not fixed to ground

Crank :

a link that makes a complete revolution

and is p

ivot

ed to ground

(

full rotation

-

no limit)

and (oscillatory)

Rocker:

a link that has oscillatory rotation and is

fix

ed to ground

(

full rotation

and oscillatory

)

Crank-Rocker MechanismCrank-Rocker Mechanism

(Crank(S) makes a full revolution)(Crank(S) makes a full revolution)

Double-Crank MechanismDouble-Rocker Mechanism

(L and P make a full revolution)(Coupler(S) makes a full revolution)

Grashof’s Law for a Four Bar Linkage

Grashof’s Law for a Four Bar Linkage

Grashof’s Law for a Four Bar Linkage

Transmission Angle in 4-Bar Linkage

Thank you for listening with patience a semester