Group Abstract Group Abstract

Message Boards Message Boards

Solve 2nd order differential equation?

Karthik Niranjan S
Posted 9 years ago

I have been trying to Solve a system of 8 second order differential equations converted to a matrix representation. Its has been running for 7 days and is still running. Should I wait for it solve or should I abort as it could be due to some error. I will attach the screen captures here for reference. I am in need of the general solution. Please help me out.Image shows the Matrices of the coefficients of the second order differential equation to be solved
POSTED BY: Karthik Niranjan S
5 Replies
Sort By:

Note to Moderator: This Thread should be added to the SystemModeler Group.

I put together a quick example to get you started. I used the translational blocks -- they do not animate. If you want an animating example I can quickly put one together for you. The force is turned on at 2 seconds. By modifying this model you should be able to do whatever you want. Note-- I made the second mass always two times the first mass (but you can change this to a number or an equation). The attached file is the full model for SystemModeler. Here is a picture of what I did:

enter image description here

The simulation results:

enter image description here

Attachments:
POSTED BY: Neil Singer

Yes, It is a system of masses, springs and dampers. I was not aware of the Wolfram's SystemModeler option. Would certainly give it a try and post the updates related to it. Thanks for your kind suggestion.
POSTED BY: Karthik Niranjan S
POSTED BY: Neil Singer

Thanks for your suggestion Neil. I thought if I had the general solution, I could use it for finding the solutions for different Symbolic constant values. It has been 8 days now and suddenly Mathematica states that the memory is not sufficient and that the Mathematica kernel has shutdown. Is going for the numerical solution the only option?Image shows the error message thrown by mathematica

POSTED BY: Karthik Niranjan S

I would recommend solving it numerically with NDsolve. Is there a reason you need an analytical solution? I doubt that you will ever get one given the complexity of the equations. Numerically your equations will be easy to solve.
POSTED BY: Neil Singer
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Tag limit exceeded
Note: Only the first five people you tag will receive an email notification; the other tagged names will appear as links to their profiles.
Reply Preview
Attachments
Remove
or Discard