Geared Five-Bar Mechanisms

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Geared Five-Bar Mechanisms

Geared Five-Bar Mechanisms

Geared Five-bar mechanisms are usually built with:

One Gear-Pair

+

One dyad

Applications

Geared five-bar mechanisms are interesting... to some people. They can give:

Complex Coupler Curves

Complex Function Generators

Geared Five-bar Mechanism Configurations

There are four ways you can edit a Geared Five-bar Mechanisms:

1.Gear-Pair: use fixed or orbiting gear centers

2.Dyad: use one of the five dyads: R-R-R, R-R-P, R-P-R, R-P-P, or P-R-P.

3.Gear Mesh: use an external or internal gear-mesh

4.Basic Design: edit the number of teeth on each gear


Typical Geared Five-bar Mechanism Configurations

Complex Coupler Curves (Fixed Gear-Pair and R-R-R Dyad)

GST-14-Cartwright1

Gear-Pair: 1:1, Fixed-centers, External Mesh

Dyad: R-R-R dyad

Application: Coupler Curve


A Gear-Pair has 3 Parts:

Base-Part, Input Crank, and Geared-Rocker

A Dyad has two Parts. Typically, the dyad is an R-R-R dyad.

STEP 1: Add a Simple Gear-Pair - Option 1

GST-Geared5Bar-1

 

 

STEP 2: Add an R-R-R dyad


To remind you:

2.a. Add two Parts

2.b. Add three Joints


STEP 3: Edit the Part used for Gear 2

Add a Line that radiates from the center of the Geared-Rocker - the Driven-Gear.

Add dimensions for the length and angle of the Line.

Use the end-Point of the Line for one of the Pin-Joints in the R-R-R dyad.

You can edit the angle of the Line to edit the phase of the Geared Rocker relative to Driving-Gear.

The design parameter options are:

1.Gear Ratio between Gear 1 and 2 (Number-of-Teeth);

2.Phase between the Gears;

3.Length of Driving-Gear and Driven-Gear Parts.

4.Length of each Part in the dyad.

GST-Geared5Bar-2

STEP 4: Change the number-of-teeth with the Gear-Pair dialog - for example 60:40.

In this case, it takes two rotations of the input crank to complete the function at the output shaft

To plot the complete Trace-Point, you must rotate the input crank two times faster.

STEP 5: Add a Gearing FB; Gearing-Ratio = 2

STEP 6: Connect the wires between the Linear-Motion FB, Gearing FB and Motion-Dimension FB

STEP 7: Connect the Output from the Motion-Dimension FB to the X input of the Graph FB

GST-Geared5Bar-3

Here is an 'interesting' Coupler Curve.

 

In these Coupler Curves we are plotting the motion of the middle joint of the R-R-R dyad.

You can add a Point to one of the Parts to give even more complex Coupler Curves.

Complex Function Generators (Orbiting Gear-Pair and R-R-R Dyad)

GST-T14-Geared5Bar-A

Gear-Pair: 1:1, Orbiting-centers, External Mesh

Dyad: R-R-R dyad

Application: Function-Generation


Typically, you can get interesting motions from a Geared Five-bar that has a Gear-Pair with an Orbiting center.

It is called a Function-Generator.

STEP 1: Add an Epicyclic Gear-PairRed-14-1b

STEP 2: Make the gear ratio 1:1 (for example 50:50 Gear Teeth)

GST-T14-Geared5Bar-B

 

STEP 3: Add an R-R-R dyad between the end the Geared Rocker and the Line in the Base-Part

 

GST-T14-Geared5Bar-C

STEP 4: Measure the angular position of the output Part over a Machine Cycle with a Measurement FB

STEP 5: Add a Graph FB

STEP 6: Connect the Measurement FB to an input of the Graph FB

Add a Design-Set to give a quick way to edit the Part lengths.

This Graph is of the Output Shaft Rotation as a Function of the Input, Constant Speed, Shaft Rotation.


Notes about Mechanism Synthesis

It is typical that an output vs input relationship is given. Then a mechanism is found to provide the function.

Four-bar mechanism Function-Generators are limited. For example, it is not easy to synthesize a mechanism that oscillates the output shaft more than one time in a machine cycle.

It is clear from this graph that more complex functions are possible.

GST-T14-Geared5Bar-D

GST-T14-Geared5Bar-E

Change the Gear Ratio to give more interesting Function Generation

You can change the gear ratio of the Gear-Pair to give more complex function generation.

STEP 7: Change the Gear ratio - for example 60:40.

In this case, it takes two rotations of the input crank to complete the function at the output shaft

STEP 8: Add a Gearing FB; make the Gear ratio 2

STEP 9: Connect the wire between the Linear-Motion FB, Gearing FB and the Motion-Dimension FB

STEP 10: Connect the Output from the Motion-Dimension FB to the X input of the Graph FB

GST-T14-Geared5Bar-F

The Y-axis in the Graph is for two rotations of the crank to give the complete Function-Generation for the 60:40 gearing ratio.

Geared Five-Bars: (Gear-Pair and R-P-R Dyad)

GST-T14-Geared5Bar-G

Gear-Pair: 1:1, Fixed-centers, Internal Mesh

Dyad: R-P-R Dyad

Application: Coupler Curve

 

GST-T14-Geared5Bar-H

Gear-Pair, 2:1 Fixed-centers with an R-P-R dyad

Application: Coupler Curve

The Gear-Pair ratio changed to 60:40

The Crank must rotate tow times to complete the Trace-Path

To plot the complete Coupler Curve you should add a Gearing FB before the Motion-Dimension FB and make the Gearing Ratio = 2.

GST-T14-Geared5Bar-J

Gear-Pair 1:1,  Fixed-centers, R-R-P dyad.

Application: Coupler Curve

 

 

GST-T14-Geared5Bar-J

Gear-Pair 1: 1, Orbiting-center, R-P-R dyad

Application: Function-Generation

GST-T14-Geared5Bar-L

The motion of the output Rocker as a function of the input-rocker.

It has a reasonable dwell.