In this session we study the undamped harmonic oscillator forced at its natural frequency. In this case the system responds by oscillating with an amplitude that grows to infinity over time. This is what is called pure resonance. Mathematically it is the case p(a) = 0 in the Exponential Response Formula.
Read the course notes:
- Pure Resonance: Introduction (PDF)
- The Exponential Response Formula: Resonant Case (PDF)
- Undamped Forced Systems (PDF)
Watch the lecture video clips:
Watch the problem solving video:
Complete the problem set: