Step 13.4: A Rocker Driven by a 2D-Cam

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Step 13.4: A Rocker Driven by a 2D-Cam

Add a 2D-Cam and Configure the Power Source

When we add a 2D-Cam, we must also Configure the Power Source


In this Step 13.4, we will:

1.Delete the Spring FB.

2.Delete the wire between the output-connector of the Linear-Motion FB and the input-connector of the Motion-Dimension FB.

3.Do Add Polyline and Add Profile to extrude the 2D-Cam as an MD-Solid (Note, not required for Contact-Force).

4.Use Configure the Power Source to move the Power-Source from the Follower's Pin-Joint / rotating-axis to the 2D-Cam.

Add a Follower-Roller

GST-T134-CamFollowerRoller

Add a Follower-Roller to the Rocker.

1.Edit the Rocker, Add a Circle (100mm Radius), Add Coincident to move its center-Point to the end-Point of the Rocker, Close the Part-Editor.

2.Add a Profile to the Circle.

3.Edit the Density of the Profile/Extrusion until its mass is ~1kg. The Follower Profile:

Weighs 10N (a mass ~1kg)

Center-of-mass (the center of the Circle) is 200mm, horizontally, from the Pin-Joint.

GST-Rocker-Forces-13

The image is the end of the Rocker.


Note: there are three symbols that identify the:

Red-14-1b Center-of-mass of the original Profile (1kg, @100,0)

Red-14-2 Center-of-mass of the Follower-Roller Profile (1kg,@200,0)

Red-14-3 Center-of-mass (or center-of-Gravity) of all of the Profiles in the Part / Rocker (2kg, @150mm). It has a color that matches the color of the Part-Outline.

GST-Rocker-Forces-14

Forces and Moments with a Profile (see 13.1A) of (1kg @100mm and Follower-Roller Profile (1kg @ 200mm)

Forces:

Acting on the Rocker:

Vertical Forces: (1(kg) + 1(kg))* 9.81(m/s/s) = -19.62N

∴ Reaction force from the Base-Part that acts on the Rocker is 19.62N UP.

Moments:

Acting on the Rocker:

Clockwise Moment (–ve) of -1(kg)*9.81(m/s^2)*0.1(m) - 1(kg)*9.81(m/s^2)*0.2(m) = –2.943Nm

 Reaction Moment from the Base-Part that act on the Rocker = +2.943Nm Anti-clockwise.

Add a Cam-Part and 2D-Cam

GST-Rocker-Forces-15

Disable Force Vectors: Display temporarily, to hide the Force Vectors, while we add a Part for the cam.

STEP 1:Add a Cam-Part

1.Edit the Base-Part, Add a horizontal Line. The end-Point of the Line is at 200,–200 mm

2.Add a Part - the Cam-Part

3.Add a Pin-Joint. Click the start-Point of the Part and the end-Point of the Line.

4.Add a Motion-Dimension FB to control the angle of the Cam-Part

5.Add a Linear-Motion FB to control the rotation of the Cam-Part

GST-Rocker-Forces-16

STEP 1:Add 2D-Cam

GST-Icon-Add2DCam

1.Click Machine-elements toolbar > Add 2D-Cam

a.Click the Cam-PartRed-14-1b

b.Click the Follower ProfileRed-14-2

The 2D-CamRed-14-3 is circular because the Follower-Roller does not move.

STEP 2:Hide the Outer Cam

1.Double-click the 2D-Cam in the graphic-area to open the 2D-Cam dialog.

2.Click the Display tab > Cam Profile Display > Inner.

Add Mass to the Cam a Mass

Note: We do not need to add mass the Cam a Mass. However, it is a good opportunity to remind you of how you can, if you really want to, do Add Polyline and Add Profile. to extrude the 2D-Cam as a Solid.

 

GST-Rocker-Forces-17

STEP 1: Add a Polyline to the 2D-Cam

 

GST-Icon-AddPolyline

1.Click the Home key on your keyboard

2.Click Solids toolbar > Add Polyline - see icon to the left

3.Click the 2D-Cam

4.Click OK-tiny-11-15 in the Command-Manager

The Polyline is superimpose over the 2D-Cam.

STEP 2: We can add a Profile to a Polyline

GST-Icon-AddProfile

1.Click Solids toolbar > Add Profile - see icon to the left

2.Click the Polyline - it is superimposed over the 2D-Cam

3.Click OK-tiny-11-15 in the Command-Manager

You can see the force and moment that act on the Rocker are the same as before, 19.61N and 2.942Nm, respectively.

The Problem : Where is the Contact Force between the Cam and Follower?  

For convenience, the mass of the 2D-Cam equal 4kg . To edit the mass, edit the Density or Extrusion-Depth of the Extrusion

Therefore, there is a Force that acts on the 2D-Cam of 39.227N.

Configure the Power Source

GST-Rocker-Forces-18

Why is the Contact Force between the Cam and the Cam-Profile equal to zero?

In the image to the left, there are two Power Source (2 MotorsRed-14-2)

MotorRed-14-1b drives the Rocker

MotorRed-14-2 drives the Cam-Part

There is usually ONE motor to drive a Cam mechanism! This is because:

MotorRed-14-1b does not exist. The 2D-Cam drives the Follower / Rocker, and not a motor.

MotorRed-14-2 is OK. It drives the Cam-Part.

We must Configure the Power Source to make the 2D-Cam drive the Follower / Rocker.


STEP 1: To open the Configure Power Source dialog:

In the Kinematics-Tree, do these three(3) clicks

a)Click the Kinematic-Chain that includes the Follower

b)Right-Click the Kinematic-Chain

c)Click Configure Power Source

or

GST-Icon-ConfigurePowerSourceFB

a)Click the kinematic-chain with the Follower  

b)Click Force Toolbar >Configure Power Source

MD-KT-ConfigurePowerSource

GST-13-402-ConfigurePowerSource

In Configure Power Source dialog is now open.


STEP 2: Select the Power-Source in the Configure Power Source

Red-14-1b Click the Power Source tab

Red-14-2 Click Mot-Dim Rocker

Mot-Dim Rocker is the Motion-Dimension we want to drive with a Power-Source

Red-14-3 Click the 2D-Cam

2D-Cam is the Power-Source to drive the Motion-Dimension (Red-14-2Mot-Dim Rocker)

The GST-icon-MotorElement icon is to the left of the 2D-CamRed-14-2 to indicate the 2D-Cam is the Power-Source

The 2D-Cam is the Motor Element to the right of Mot-Dim Rocker.

The default Power Source is Pin-Joint.

Red-14-4 Click OK-tiny-11-15 to close the dialog

GST-Rocker-Forces-20

You should see that:

1.The Motor symbol is not at the Pin-Joint of the Follower / RockerRed-14-1b  

2.There is not a Torque vector at the Follower Pin-JointRed-14-2.

3.Action and reaction forces at the Cam ContactRed-14-3

4.The Motor symbol at the Cam-ShaftRed-14-4

5.The Action and Reaction Forces at the center of the 2D-Cam  are now 53.94N,

The center of the 2D-Cam must support the weight (m.g) of the Follower/Rocker and the Follower-RollerRed-14-5

The 2D-Cam does not need a torque because it does not do useful work. The 2D-Cam simply supports the mass of the Follower and Follower-Roller.