Do you know, you can create Curves from Equation in the 3DEXPERIENCE CATIA.

For example these beautiful Epicycloid curves were created using following parametric equations:

x = (a + b) sin(t) - b sin((a/b + 1) t)

y = (a + b) cos(t) - b cos((a/b + 1) t) 

This power can be used for more than just creating pretty curves.

This post shows the application of this power in solving engineering problems. Here we have outlined the method of

• creating the cam profiles 
• creating the assembly and cam mechanism
• analysis to determine the velocity and acceleration at various position of the follower

Problem:

Create a 3DXML file to generate radial CAM and follower profile according to the given input:

• Base circle radius of the disc, r
• Maximum height of the follower, h
• Motion of the follower: Simple harmonic motion (SHM) or Constant velocity

also plot displacement, speed and acceleration plot of follower motion.

Workflow:

Create CAM

• Open Part Design App
• Edit the 3D Shape
• Go to Tools section of the Action bar
• Select the Formula command and create following parameters
  • Follower motion, type: String)
  • r, type: Length
  • h, type: Length
  • th, type: Angle

• In the Tools section, Expand the secondary area of the group of commands by clicking the arrow next to the separator

• Select the Law command to create three laws x, y & z to generate the CAM profile.
  • Note: Create formula parameters of length type and real type, in each law.

Code:
Law: x

if `Follower Motion` == 'SHM'
{
               if 180deg*t
               if 180deg*t
Law: y
if `Follower Motion` == 'SHM'
{
               if 180deg*t
               if 180deg*t
Law: z
z = 0*t

Open Generative Shape Design App
Go to Wireframe section of the Action bar
Open the flyout menu of the Spline command and select Curve from Equations
Note: If the cure is not visible, then activate Action Bar > View > View Modes > Wires
Select corresponding laws for X, Y & Z as input.
Switch to Part Design App
Create a Positioned Sketch in a plane parallel to the plane of the curve
Project the curve in the sketch using Project 3D Elements and draw a line to create a close the profile.
Go to Model section of the Action bar
Select the Pad command and create a pad of appropriate thickness.
Go to Transform section of the Action bar
Select Mirror command and mirror about the flat surface.
Create a circular Pocket or Pad, at the centre of the base circle to attach it with the frame.
Create a Positioned Sketch on the flat face of the cam disc and project the cam profile using Project 3D Elements
Create a follower
Create a follower of appropriate dimensions
Create a point at the contact point of the follower and the cam disc (in this case, origin)
Create a frame
Create a frame according to appropriate dimensions
Create Assembly
Create a Physical Product
Insert the Cam Disc, Follower & Frame, and orient them properly
Apply Fix Constraint to the frame
Create a Revolute joint between frame and the cam disc
Create a Prismatic joint between follower and the frame
Create a Point and curve joint between contact point of the follower and the profile sketch of the cam disc

Simulation and Analysis
Open Mechanical Systems Design App
Go to Mechanical Systems Design section of the Action bar
Create a mechanism using Mechanism representation command
Test the motion using Mechanism Player
Open Mechanical Systems Experience App
Create a Simulation Object
Go to Scenario section of the Action bar
Create a Law Excitation 
Select the revolute command of the mechanism as Support 
Angle Formula: Angle = `Excitations\\Law Excitation.1\\Time` *100deg/1sec
Add a Position, Speed and Acceleration Probe at the contact point of the follower and the cam disc.

Create a Kinematics Scenario with
Excitation:
Law Excitation
Probe:
Position, Speed and Acceleration
Parameters:
Start Time = 0s
End Time = 3.6s
Step Time = 0.05s.
Select Compute and Generate Results
Select View Scenario Results
Select appropriate data and switch to Plot tab to view the graphs.


Downloadable 3DXML
Preview
 

💪Powers of Generative Shape Design App
✅ quickly model shapes using wireframe and surface features
✅ large set of tools for creating and editing shape designs 
✅ can be combined with other apps to preform solid-based hybrid modeling.
To know more click here: User Assistance >> 3D Modeling >> 3D Modeling Core >> Generative Shape Design

💪Powers of Mechanical System Design(MSD)
✅ Contact (⭐ friction, collision, etc.)
✅ Gravity ⭐
✅ Axial Spring
✅ Bushing 

💪Powers of Mechanical System Experience(MSE)
✅ Position Excitation
✅ Velocity Excitation
✅ Force Excitation
✅ Torque Excitation
✅ Sequence of Excitation
✅ Probes (⭐ position, speed, acceleration, joint force, etc.)
✅ Plots
✅ Traces

Courses:
Perform as a Mechanical and Shape Designer​​​​​​​
Practice CATIA Mechanical Systems Design
Practice CATIA Mechanical Systems Experience

Certification:
3DEXPERIENCE Mechanical Motion Designer - Associate


Download and use more Mechanisms
https://r1132100503382-eu1-3dswym.3dexperience.3ds.com/#community:AH6Out1lTB2kjqDkm0S-Qg/wiki:WpHLnOdCSu64zfumZJR_4Q
 
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