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: Base excited stacked mass spring damper systems

  1. Jun 25, 2015 #1
    1. The problem statement, all variables and given/known data
    I'm trying to derive the equations of motion and state space as well as the transfer function for a system which has two mass spring damper systems stacked on top of each other. The system is base excited. I attached a pic of the system
    stacked mass spring damper.png
    2. Relevant equations
    - Sum of the forces as per usual
    - The transfer function is defined as H(s)=X(s)/U(s)
    3. The attempt at a solution

    And setting up for state space:
    I've also been thinking this might be easier in terms of energy methods. Thanks in advance
    Last edited: Jun 25, 2015
  2. jcsd
  3. Jun 25, 2015 #2

    rude man

    User Avatar
    Homework Helper
    Gold Member

    Your equations look right. You can solve by the usual diff. eq. methods.

    There is probably limited knowledge base on this forum for state space. I took an entire course in state space techniques (my instructor, Prof. S. C. Gupta, had us check his answers in the textbook he was preparing; maybe you know it) but I have to say I never found the technique useful to me so forgot all about it.)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted