# Recent content by TW Cantor

Bump

Imagine the following scenario. A pipe is strapped to a larger "host" pipe using a steel strap and a spacer block as shown in the image below. If anyone could have a look at my calculations to confirm they are correct that would be brilliant! Variables Assuming the following general values I...
3. ### Vibration of a cantilever beam

Hi there! Im trying to do an analysis in Abaqus of a cantilever pipe, with a tip mass at the free end, that is decelerating to a stop at 10 m/s2 from 10m/s, causing it to vibrate. The pipe is vertical, fixed at the top with the mass at the bottom, and it is moving in the x axis. To validate my...
4. ### Vibration of a cantilever beam

Oh, and I forgot to say that the pipe is vertical and that the velocity and deceleration is in the x axis
5. ### Vibration of a cantilever beam

Hi there! Im trying to do an analysis in Abaqus of a cantilever pipe, with a tip mass at the free end, that is decelerating to a stop at 10 m/s2 from 10m/s, causing it to vibrate. To validate my results im doing some handcalcs. I have done a static analysis and calculated the maximum deflection...
6. ### Optical misalignment

Hi all I was just wondering if anyone could help me with estimating error caused by misalignment of an optical arrangement. I am interested in how the focal length of this arrangement will be affected by say a misalignment of just one of the lenses. I'll assume that every component is aligned...
7. ### Mass Spring Damper Transfer Function

Homework Statement The translational system in the first attachment represents the rear/front suspension of a car of mass 1262kg. The distance between the axles is 2.41m and the distance between the centre of mass and the front axle is 1.22m. I am told that: m2 = 40 kg c1 = 800 Nm/s k1...
8. ### Fourier Series Problem

yeah im getting the right answer now :-) thanks for your help!
9. ### Fourier Series Problem

ahh! ive been using sin instead of cos! i cant believe i did that. so ive integrated 2/T ∫ f(t)*sin(n*π*t/T) dt between 0.5 and 0 and i get: (22*cos(pi*n) - 11*n^2 *pi^2 + 22*n*pi*sin(n*pi) -22)/(2*(n^3 * pi^3)) since ive integrated for only half the period and between 0 < t < 0.5 i...
10. ### Fourier Series Problem

how would you integrate for this problem?
11. ### Fourier Series Problem

so for 0 < t < 0.5, f(t) = 5.5 - 22*t^2 ? then do i add the integral of: f(t)*cos((2*pi*n*t)/T) dt between -0.5 < t < 0 and -f(t)*cos((2*pi*n*t)/T) dt between 0 < t < 0.5 because wont that just equal zero?
12. ### Fourier Series Problem

well im not really sure what to use as the bounds for the integral... i got confused when it said the period was 1 but the function is only true between -0.5 < t < 0. i know since its odd its asymettric about the vertical axis and since its periodic it might have something to do with that? i...
13. ### Fourier Series Problem

Homework Statement f(t) is an odd, periodic function with period 1 and: f(t) = -5.5 + 22*t2 for -0.5 ≤ t < 0 i) find the Fourier coefficient bn ii) find the Fourier coefficient b5 Homework Equations bn = (2/T) * ∫ f(t) *sin((2*n*∏*t)/T) dt between T/2 and -T/2...
14. ### Second order inhomogeneous simultaneous differential equations

yes it is, i was trying that before but my answers kept coming up different to those given. i must have made some mistake when i rearranged the denominator. thanks for your tips :-)
15. ### Second order inhomogeneous simultaneous differential equations

ok i have got the answer for part vi now, thanks lanedance :-) for parts iii and iv, would it be when the denominator is equal to zero?