Thanks for your help! I'll have a play around with this over the next couple of days. It might take me a little while but when I get to the final answer I'll post it up here.
Thanks for that - that's brilliant! I'll get my hands on a copy of the book tomorrow.
I can also get a free copy of Maple - could this churn out an answer to the transform? I've tried with MATLAB but it didn't want to play ball!
So, to solve that inverse laplace transform I should use the Bromwich integral. This all seems a bit more difficult (and therefore time consuming) than I was hoping.
I can go down this path but would appreciate any advice on whether there is a better methodology to go about solving this...
Cheers! I'll have a look into that. Any idea how painfully difficult this will be - I'm coming towards the (current) limit of my mathematical capabilities with this non-homogeneous PDE stuff!
Heat Equation (Non Homogeneous BCs) - Difficult Laplace Transform... help! ;)
Hi
I'm trying to model the temperature profile of an inertia friction welding during and after welding. I have the welding outputs and have come up with a net heat flow wrt time during the process.
I now want to...
Homework Statement
W(x,s)=(1/s)*(sinh(x*s^0.5))/(sinh(s^0.5))
Find the inverse laplace transform of W(x,s), i.e. find w(x,t).
Answer:
w(x,t)= x + Ʃ ((-1)^n)/n) * e^(-t*(n*pi)^2) * sin(n*pi*x)
summing between from n=1 to ∞
Homework Equations
An asymptotic series..?!
The...
I think that I may have made a mistake with my formulation of the problem; I actually have a non-homogeneous boundary condition, so:
ut=αuxx
with Neumann boundary conditions of:
ux(0,t)=Q/kA - with both sides having units of K/m
ux(L,t)=0
Does this seem like the correct way of...
Conduction - Heat Equation - Units Don't Add Up!
Hi there
I have what I think/hope is a simple question:
I've been working on heat inputs and outputs in inertia friction welds and have managed to produce a net power term (W) as a function of time.
I now want to use that in the heat...
Sorry for any confusion.
The beam is quarter circular, with a vertical load V and horizontal load H applied at the free end of the beam (the V and R noted at the base are reaction forces - I guess I should have called them Rv and Rh?)
I've noted and accounted for the differences in the...
Hi! Thanks for the help!
I've attached some of the working that I've completed - I seem to have come up with the right answer but would really appreciate it if someone could have a quick look over the working/diagram for me.
When completing the analysis I presume I'm right putting the...
Hi there
Just a quick question; when I'm calculating moments in a cantilever beam (in my case a quarter circular one), is there any reason (apart from my own ineptitude) why I shouldn't be able to make the cut and FBD starting from the fixed end?
I get different answers when I make the cut...