1 / 9

Vibrating Beam Problem

Vibrating Beam Problem. Three’s Company Jeff, Russell, Dan, and Chris. Other titles. The George W. Bush Administration. ASU and Pals. Three’s Company. Harmonic Oscillator Model 1. Initial Conditions z 0 = [d data (1), 0] c 0 = -20 k 0 = .01 Results Standard Error (C) = .0152

pandora-athans
Download Presentation

Vibrating Beam Problem

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Vibrating Beam Problem Three’s Company Jeff, Russell, Dan, and Chris

  2. Other titles • The George W. Bush Administration • ASU and Pals • Three’s Company

  3. Harmonic Oscillator Model 1 • Initial Conditions • z0 = [ddata(1), 0] • c0 = -20 • k0 = .01 • Results • Standard Error (C) = .0152 • Standard Error (K) = .6004 • 95% Confidence Interval (C) = (.8525, .8830) • 95% Confidence Interval (K) = (1550.62, 1551.82) • Minimized Cost = 7.6843e-7

  4. Harmonic Oscillator Model 2 • Initial Conditions • z0 = [ddata(1), (ddata(2)-ddata(1))/(time(2) – time(1))] • c0 = -20 • k0 = .01 • Results • Standard Error (C) = .0156 • Standard Error (K) = .6249 • 95% Confidence Interval (C) = (.7962, .8587) • 95% Confidence Interval (K) = (1550.03, 1552.53) • Minimized Cost = 7.6539e-7

  5. Russell’s Idea • Clearly the other models did not cover all data points

  6. Beam Model • Initial Conditions • q0 = [YI; CI; g; Kp; rp; YIp; CIp] • q0 = [.17060; 5.8829e-6; 9.2095e-3; 3.6584e-4; .085873; .26292; 9.4044e-5] • Results • q = [.17027; 6.0769e-6; .0096352; 3.5897e-4; .082879; .25496; 9.665e-5] • Minimized Cost = 1.0222e-7

  7. Other things we’ve learned • Be aware of the connection between math, the sciences, AND statistics. Word serious? But why?

  8. Why? • Cuz the world needs mathematicians Needs mathematician

More Related