Solution for Forced Vibration for Undamped SDOF System

Let’s look at an undamped SDOF system is subjected to forced vibration while having initial displacement and velocity. The solution for the dynamic responses of the system starts with the selection of suitable solution for displacement. Then, the solution for velocity and acceleration may be defined from the partial derivatives of displacement expression with respect to time.

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

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

System overview

Selected solution for displacement

Solution for natural frequency and frequency ratio

Solution for dynamic responses

Displacement vs time

Velocity vs time

Acceleration vs time