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Differential equation for a vibration problem
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[QUOTE="Reno Nza, post: 5486450, member: 588160"] [h2]Homework Statement [/h2] The data given was the acceleration of the component over time, as below: time | Acceleration (m/s²) 0 | 0 0,2 |3,61 0,4 |4,5 0,6 |5,4 0,8 |7,508 1 |12 - The Rigidity constat is 12600000 [N/m] (for the spring) The damping constant is 6500 [N/m] (for the damp) The system has 2 of each. [h2]Homework Equations[/h2] [LIST=1] [*]I was required to construct the 3rd degree equation [*]Generate the differential equation [*]Determine the oscilation [*]Solve the equation knowing that y(0)=0 and y'(0)=0 (So i get Constant1 and Constant2) [*]Generate graphics for y(t) from 0 < t < 3s [/LIST] [h2]The Attempt at a Solution[/h2] For nº 1 i got the following: f(t) = 3600 * (33,697*x^3 - 46,4018*x^2 + 24,693*x + 0,0615) For nº 2: Knoginw that, C=6500 * 2 = 13000 and K=12600000 *2 = 25200000 So, 3600*y''+13000*y'+25200000*y= 121309,2*x^3- 167043,6*x^2 + 88834,3*x + 221,4 for the particular solution i used: A*x^3 + B*x^2 + C*x + D got the info of A,B,C and D and replaced. Got the following: y(t) = e^-1,8*t * [C1*cos(83,647*t)+C2*sen(83,647*t)]+ 4,81*(10^-3) * t^3 - 6,64*(10^-3) * t^2 + 3,523*(10^-3) * t +1,57*10^-5 And the problem goes on... [B]What i need \/[/B] The point is, I'd like to port all this info to Matlab or Geogebra or whatever software you recommend, but i have no idea on how to, would be anyone able to help ? I'd like to get the A,B,C and D, plus C1 and C2 and them generate the graphs, all on the software, using the data given. [/QUOTE]
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Differential equation for a vibration problem
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