Forced Oscillations Visualization

Forced Oscillations Visualization

Parameters

Mass (m): 1.0 kg

Damping (b): 0.20 N·s/m

Stiffness (k): 2.0 N/m

Force Amplitude (F₀): 1.0 N

Force Frequency (ω): 1.00 rad/s

Explanation

This simulation shows a damped harmonic oscillator with an external driving force. The left graph shows the position over time, while the right graph shows the phase space (velocity vs position).

Adjust the parameters to see how they affect the system:

• Mass (m): Higher mass means slower response
• Damping (b): Higher damping reduces oscillations
• Stiffness (k): Higher stiffness increases natural frequency
• Force Amplitude (F₀): Higher force creates larger oscillations
• Force Frequency (ω): When matching natural frequency, resonance occurs