Single degree of freedom damped free vibrations

Governing Equation

<tex>m\ddot{u}(t) + c\dot{u}(t) + ku(t) = 0</tex>

This is a second-order linear ordinary differential equation with constant coefficients that yields the following solution:

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References

• Ray W. Clough and Joseph Penzien: Dynamics of Structures, 2nd edition, McGraw-Hill, New York, 1993. 738 pages. ISBN 0-07-011394-7

External Links

• SDOF Damped Free Vibrations at eFunda

 

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