Fourier Series: Stamping Machine Positioning Function

[bradzyc]

Homework Statement

Homework Equations

All Fourier series trigonometric equations. I think we are required to use sigma function, integrals, etc.[/B]

The Attempt at a Solution

We are currently working through our Fourier series revision studying integrals of periodic functions within K.A. Stroud's book, Advanced Engineering Mathematics. However, we cannot fathom how to convert the above equation into the sigma notation or even start the Fourier transform. Any indication on what we need to look at would be a massive help. Obviously I don't want this completed for me, just an idea would really help to bounce some ideas from.

As a side note, I'm fairly new to this forum and haven't used this account in a long time so if I breach any rules etc I do apologise!

Many thanks,
Brad

 

[BvU]

However, we cannot fathom how to convert the above equation into the sigma notation or even start the Fourier transform. Any indication on what we need to look at would be a massive help

Well, you've got the definition of the Fourier series as one of your relevant equations (can't check -- you don't post them). The idea is that you let that loose on the given function

Must say I find this a weird exercise (didn't find the term 'Fourier' in 5th ed ?) since the given function is a rather rough approximation for the movement of the slide block.

 

[gneill]

Moderator note:

Hi bradzyc, I found your thread title to be too generic so I changed it to "Fourier Series: Stamping Machine Positioning Function" to make it more specific and descriptive of the problem.

 

[bradzyc]

Well, you've got the definition of the Fourier series as one of your relevant equations (can't check -- you don't post them). The idea is that you let that loose on the given function

Must say I find this a weird exercise (didn't find the term 'Fourier' in 5th ed ?) since the given function is a rather rough approximation for the movement of the slide block.

Hi, any thanks for the response. The actual problem we're having is converting the x(t) = r(1-cos(t-psi)) as the trigonometric Fourier series. We can use the MATLAB simulations etc but the first conversion is our issue.

Many thanks,
Brad

 

[bradzyc]

Moderator note:

Hi bradzyc, I found your thread title to be too generic so I changed it to "Fourier Series: Stamping Machine Positioning Function" to make it more specific and descriptive of the problem.

Not a problem, many thanks for the help!