This presentation explores the fascinating physics behind the 1940 Tacoma Narrows Bridge collapse through the lens of self-excited vibration. The slides explain how a seemingly small change in a differential equation - from positive to negative damping - can dramatically transform vibration into increasingly amplified motion.<br><br>Key topics covered include<br>- Basic pendulum motion and harmonic vibration<br>- Damped oscillation and its mathematical modelling<br>- Bernoulli's Law and the concepts of lift and negative lift<br>- Self-excited oscillation mechanism<br>The presentation uses simple models to demonstrate how aerodynamic forces interacted with the bridge structure, while noting that the actual collapse involved more complex phenomena, including aeroelastic flutter and torsional vibration. An approachable introduction to how small changes in physical systems can produce dramatically different results.<br><br>References<br>K. Yusuf Billah; Robert H. Scanlan, Resonance, Tacoma
This presentation explores the fascinating physics behind the 1940 Tacoma Narrows Bridge collapse through the lens of self-excited vibration. The slides explain how a seemingly small change in a differential equation - from positive to negative damping - can dramatically transform vibration into increasingly amplified motion.<br><br>Key topics covered include<br>- Basic pendulum motion and harmonic vibration<br>- Damped oscillation and its mathematical modelling<br>- Bernoulli's Law and the concepts of lift and negative lift<br>- Self-excited oscillation mechanism<br>The presentation uses simple models to demonstrate how aerodynamic forces interacted with the bridge structure, while noting that the actual collapse involved more complex phenomena, including aeroelastic flutter and torsional vibration. An approachable introduction to how small changes in physical systems can produce dramatically different results.<br><br>References<br>K. Yusuf Billah; Robert H. Scanlan, Resonance, Tacoma
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