Single degree of freedom damped free vibrations: Difference between revisions
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(Created page with '== Governing Equation == <tex>m\ddot{u}(t) + c\dot{u}(t) + ku(t) = 0</tex> == References == * Ray W. Clough and Joseph Penzien: Dynamics of Structures, 2nd edition, McGraw-Hi…') |
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<tex>m\ddot{u}(t) + c\dot{u}(t) + ku(t) = 0</tex> | <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: | |||
{{To Do | who = user:ok | Provide solution for single degree of freedom damped free vibrations}} | |||
== References == | == References == | ||
Revision as of 17:48, 25 September 2009
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:
To Do: na (who: user:ok; priority: 100; hours: 0) (all) (cat)
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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