1 / 13

Pendulum Waves

Pendulum Waves. 600410137. What is Pendulum Wave. What is Pendulum Wave. Many different period pendulums consist of Pendulum Waves. T he length of each pendulum and gravity determine the period of each pendulum.

bella
Download Presentation

Pendulum Waves

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. Pendulum Waves 600410137

  2. What is Pendulum Wave

  3. What is Pendulum Wave • Many different period pendulums consist of Pendulum Waves. • The length of each pendulum and gravity determine the period of each pendulum. • By varying the length of a series of pendulums, some very interesting patterns emerge.

  4. Outline • Method • Environment • Result • Future Work

  5. Method • … • :a “Pendulum Wave” period • N:the times of longest pendulum oscillates, the second to longest pendulum oscillates N+1 times • d:The interval distance between each two adjacent pendulums • x:the total distance (from beginning to the end) • We use L(x) to design our length of each pendulum

  6. Method • According to L(x) equation and our parameter,we have got the result below.

  7. Method • After setting the length of each pendulum and other parameters. We have to simulate how these pendulums wave. • We have to know it’s wave function. • The wave displacement function can be written as

  8. Method • The wave displacement function can be written as • :angular frequency, owing to the difference of pendulum length, we can combined it with[1] then we inferred • k: Wave number k at the very beginning of the oscillation. • A:amplitude of the waves • Finally,

  9. Environment • Textures make experiment equipment more authentic.(the board the lamp and the bar ) • Also lighting and material parameters make the pendulum looks more heavy , like the real ones. • Yellow: gold • red:ruby • white:pearl • orange:copper (According to OpenGL Material)

  10. Environment

  11. Environment

  12. Result

  13. Future Work • We need more accurate calculation, because after the whole pendulum waves loop a few cycles, the displacement of some pendulum strayed out a little bit. • GPU programming maybe suited to this simulation of Pendulum waves, because we can take apart these 12 pendulum waves as parallel process working simultaneously.

More Related