﻿ Tutorial 18: Maths FB

# Tutorial 18: Maths FB

## Maths FB

The objective of this tutorial is to learn how to use the Maths FB. We will apply it to a design application.

The most difficult challenge with the Maths FB is to enter each equation with the correct syntax.

You must derive your own equations of course.

### This Tutorial

We will use the Maths FB to enter the parametric, kinematic equations of an Epitrochoid Curve.

Epitrochoid Curve definition: 'the curve that is generated by a point that is within the frame of a circle, where that circle rolls without slipping around the outside of a circle that is fixed to the machine frame'.

We will see we must enter the:

 1 Position Equations to plot a Point that moves along the Epitrochoid Curve.

If the position equations are not correct, the curve will not be correct.

 2 Velocity Equations to add a cam-follower at the centre of the point and then add a Cam to the machine frame.

If the velocity equations are not correct, the plot of the Cam is not correct.

 3 Acceleration Equations to plot the Radius-of-Curvature for the Cam.

If the acceleration equations are not correct, the plot of the cam's Radius-of-Curvature is not correct.

 It is possible to do this tutorial very quickly with a Gear-Pair (See Here). However, in this tutorial, we imagine we do not have the Add Gear-Pair tool.

As another simple example, I have added Lissajous Figures/Curves.

## Maths FB

Tutorial and Reference Help Files for MechDesigner and MotionDesigner 13.2 + © Machine, Mechanism, Motion and Cam Design Software by PSMotion Ltd