1 / 8

Problem Session 5a

Problem Session 5a. Professor Walter W. Olson Department of Mechanical, Industrial and Manufacturing Engineering University of Toledo. Exercise 1. u. x.

lyneth
Télécharger la présentation

Problem Session 5a

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. Problem Session 5a Professor Walter W. Olson Department of Mechanical, Industrial and Manufacturing Engineering University of Toledo

  2. Exercise 1 u x A mass m (kgm) rolls frictionless on a massless cart. The mass is connected to the cart by a spring with a spring rate of k (N/m) and damper with a rate of b (n-s/m). The input is u(t) and the desired output is x(t). k m massless cart b

  3. Exercise 1 Solution u x k m massless cart b

  4. Exercise 2 Electromagnet A loudspeaker works on the law of motors: where F is the force, i is the current, and l is the length of the coil wires. Assume that the cone can be represented by a mass, m, which is resisted by viscous damping with rate b and is driven by the force, F, produced by the current above. Cone Bobbin Coil

  5. Exercise 2 Electromagnet Cone Bobbin Coil

  6. Exercise 3 (From text, Problem 2.4, page 62) Keynesian Economics: Keynes' simple model is given by where Y is the Gross National Product (GNP), C is consumption, I is investment and G is government expenditures for year k. Consumption and investment are modeled with Derive the state space model with the GNP as the output.

  7. Exercise 3

  8. Summary • Robustness • Unmodeled dynamics • Tools: • Nyquist • Bode • Root locus • Course Review Next: Final Exam

More Related