1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Develop Model Emulating Given Wave Pattern

  1. Jul 19, 2014 #1
    Develop a model for producing a repeating pattern of 8 waves, with 6 smaller waves of approx. the same size and the second and sixth waves much larger. The sketch below gives a general indication of the eight wave pattern.


    (Sorry for large image)

    I would like to know how to "take a shot" at it, the solution must be a sine function. Can be generic, by that I mean no definite amplitude, only that the model clearly resemble the one given.

    I have tried to emulate it by trial and error, combining functions such as in the form [y=sin x + 0.3sin3x] with no luck.

    Thanks in advance,
    Last edited: Jul 19, 2014
  2. jcsd
  3. Jul 20, 2014 #2


    User Avatar
    Homework Helper

    All I could come up with was a relatively complicated solution which is of the form


    where k(x) is equal to 1 everywhere that you want the amplitude of sin(x) to be higher, and 0 everywhere else. s(x) is a function that uses [itex]sin(x)^2[/itex] because it has a derivative of 0 where it touches the x-axis.




    and I'll leave s(x) to you if you're interested in pursuing this further.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted