Theory for Free Vibration of Undamped SDOF System

Considering an undamped SDOF system subjected to free vibration. From this situation, we can determine the natural frequency of the system, and corresponding period of vibration.

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

Equilibrium equation for undamped SDOF system under free vibration

Solution for dynamic response 1

Solution for dynamic response 2

Solution for dynamic response 3

Solution for dynamic response 4

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Solution for dynamic response 7

Solution for dynamic response 8

Solution for dynamic response 9