Solution for Free Vibration of Undamped SDOF System

 

This is an example showing the solution for an undamped SDOF system subjected to free vibration. Using the components of dynamic system, we first determine the natural frequency of the system. Then, utilizing the initial conditions, we can determine the expressions for the dynamic responses of the system.

Click here to download our excel worksheet for free vibration of an undamped SDOF system.

The following shows the solution for free vibration of an undamped SDOF system. Watch the video above for full details.

Dynamic system info and initial conditions
Natural frequency and period of the system
Solution for dynamic responses
Graph of displacement response versus time
Graph of velocity response versus time
Graph of acceleration response versus time

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