COMSOL Forums: CREATING A PERIODIC WAVE WITH flc2hs(x,scale) AND mod(a,b)

Re: CREATING A PERIODIC WAVE WITH flc2hs(x,scale) AND mod(a,b)

Sun, 04 Apr 2010 04:48:07 +0000

Hi

indeed it would most probabay work, if not try to step in a concetrated way at your slope changes. You still have the modulo to make it periodic.

If you still have convergence problems, you could fit a smoother sin function just around your slope change. I mostly use Maple to help me formulate my math for such piecewise continuous functions

Good luck
Ivar

Re: CREATING A PERIODIC WAVE WITH flc2hs(x,scale) AND mod(a,b)

Sat, 03 Apr 2010 13:34:36 +0000

Hi Ivar,

I've been working on creating this wave, and i ve decided to define it this way:

(t*H0)*(t<0.01)+((0.02-t)*H0)*(t>0.01)

I've realised that what i was trying to do at the beginning was a bit complex. The result is on the attached image. I only need one period of this wave. If i need the wave to be periodic in time, i'll have problems, because this description is not ok, the resultant wave is permanently decreasing from t=0.01. I'll investigate more.

Thanks for the help!

Tomàs

Re: CREATING A PERIODIC WAVE WITH flc2hs(x,scale) AND mod(a,b)

Thu, 18 Mar 2010 20:08:18 +0000

Hi

but you will not really get a "linear function" with the heaviside smooth step functions, however it will be derivable.

When I have a problem with a mathematical function in COMSOL, my way around is to plot it as a "function" see below

Good luck
Ivar

CREATING A PERIODIC WAVE WITH flc2hs(x,scale) AND mod(a,b)

Thu, 18 Mar 2010 15:20:03 +0000

Hello,

I'm trying to build a periodical wave. I want it to be linear, with its first semiperiod as an ascendent linear function, and the second semiperiod as a descendent linear function. Just like in the attached image.

I am using the function flc2hs(x,scale) to define the steps that will build the wave. I have defined two diferent parts:

Increasing part:
flc2hs(t+1e-2, 1e-2) - flc2hs(t, 1e-2)

decreasing part:
flc2hs(t, 1e-2) - flc2hs(t,2e-2)

What i have in mind is to repeat this two steps along t with the mod(a,b) function, and to multiply them with the linear function that will define the wave form(it'll be something linearly time depending).

Could anyone help me doing this two last steps? I've been searching for the mod(a,b) function on the program guide, but there is no explanation about it.

thank you very much