Not sure if your interested but after running it through Maple (math software) we got both a numerical and analytical model. The analytical model had to be solved using laplace and it ended up being over 6000 characters (this is with the new force function). This turned out to be quite the...
Thanks a lot for your help. It turns out my force function was wrong. It is actually
F=(t-11)sin^2(pi*t)(U(t)-U(t-11))
I understand how to solve using laplace now, thanks to you, but this problem started to get quite messy quickly so i ended up solving using a math simulation software to avoid...
so I am working on a problem and i have a question about the step function. let's say that a decaying force is f(t). with u (t-11)= {0 if t< 11, 1 if t>=11}. the function of the force is then
g(t)=[1-u(t-11)]* f(t)
or g(t)=f(t)-[u(t-11)*f(t)]
as i understand it. in order to do the...
so I am working on a solution and i have a question about the step function. let's say that the decaying force is f(t). with u (t-11)= {0 if t< 11, 1 if t>=11}. the function of the force is then
g(t)=(1-u(t-11))* f(t)
or g(t)=f(t)-[u(t-11)*f(t)]
as i understand it. in order to do the...
Thanks a lot for your help. i was able to find a website where a mathematics instructor posted their course notes on DEs and solving DEs with laplace transforms and have gained a much better understanding of laplace transforms in general. I have yet to complete a solution but it does seem like...
i appreciate the response. i haven't covered laplace transforms much since 2nd year university and even then it dealt with simple constant amplitude periodic forces such as F_0(sin(wt)). how would i start analyzing a linearly decaying force? could you possibly point me in a direction or...
Homework Statement
I have a damped forced vibration problem. Most problems I have dealt with have a constant amplitude sinusoidal force such as F_0sin(wt). Let's say you have an applied force that decreases each second at a constant rate over 11 seconds. It looks like this...
I'm working on a problem that has forced vibration. The force, every time it is applied, is less than the previous impact. For clarity, the problem is dealing with a mining skip that is emptying. The inside of the skip is separated in sections using ribs but the top blocks still exert a force on...
I'm working on a problem that has forced vibration. The force, every time it is applied, is less than the previous impact. For clarity, the problem is dealing with a mining skip that is emptying. The inside of the skip is separated in sections using ribs but the top blocks still exert a force on...