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EricHong1-Visitor
1-Visitor
March 15, 2011
Solved

Four mass-spring-damper system State Space Model

  • March 15, 2011
  • 6 replies
  • 6297 views

Please, help. The question is stated inside the file.

Thanks in advance,

Eric

Best answer by AlanStevens

You're asking Mathcad to find an analytical solution to an 8'th order polynomial! Can't be done above 4th order! Stick with numerical solutions.

Alan

6 replies

AlanStevens19-TanzaniteAnswer
19-Tanzanite
March 15, 2011

You're asking Mathcad to find an analytical solution to an 8'th order polynomial! Can't be done above 4th order! Stick with numerical solutions.

Alan

wayne12-Amethyst
12-Amethyst
March 15, 2011

Eric

The last equation has kc, but should be kd

Mathcad has functions for eigenvalues (eignevals) and it will provide numerical results ( I tried it on your corrected matrix), but not symbolic, as Alan indicates
Even if you could get one, it would probably be so long as to be unuseable.

EricHong1-VisitorAuthor
1-Visitor
March 15, 2011

Thanks. It's kc alright. There's no kd. kc is the spring between mc and md.

After all, Alan is right.

Thank you all,

Eric

wayne12-Amethyst
12-Amethyst
March 15, 2011

You have 4 masses connected with 3 springs? After lookiing at the matrix again, it's not clear to me what the arrangement would be? Just for my own curisoty, could you pass along?

Thanks

Wayne

wayne12-Amethyst
12-Amethyst
March 16, 2011

Eric,
Interesting problem, thanks for the reply.

Wayne

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