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Inverse Laplace of mass spring damper system.

  1. Sep 30, 2008 #1
    hello All, I have a problem finding the inverse laplace of mass spring damper system.

    Here are my equations. Please help me in finding the solution of x(t)

    Actually, I am trying to find the value of x(t) for an underdamped condition.


    (1/M)/(S^2+2ζω_n+〖ω_n〗^2 ) = (c_1 (S+a)+c_2 (ω))/((〖s+a)〗^2+ω^2 )

    Now, If I apply the inverse laplace transform, I know that I need to get the value of x(t) as
    e^(-at) (c_1 cosωt+c_2 sinωt)
    So, If I can get to know the values of a and ω in (c_1 (S+a)+c_2 (ω))/((〖s+a)〗^2+ω^2 ) I can apply inverse laplace and find x(t).
    Can someone help me in finding the values of a and ω
     
  2. jcsd
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