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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

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Vibrating Beam Problem

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  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

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