Original Article Modelling of Normal Human Tympanic Membrane as Damped Harmonic Oscillator
Modelling Ear Drum as Damped Harmonic Oscillato
Keywords:
Otology, Ear drum, Ear, E.N.T, Otorhinolaryngology, Python, Scipy, Mathematical modelling, Modelling, Artifical intellligence, damping, Harmonic oscillatorAbstract
Background
This paper proposes modeling the dynamic properties of the TM as a damped harmonic oscillator. A damped harmonic oscillator is a classical physics system that resonates at a natural frequency but loses energy over time due to damping.
Methods
The Python scipy module is utilized to create the mathematical model of the damped harmonic oscillator representing the frequency response of the TM. Matplotlib visualizations demonstrate a strong model fit to the amplitude data across 100 Hz to 10 kHz tones.
Results
The resulting damped harmonic oscillator model accurately reproduced the frequency response of the human tympanic membrane, including the characteristic frequency, peak amplitude, and bandwidth. The model parameters provided new insights into the mass, stiffness, and damping properties of the tympanic membrane.
Conclusion
Our results demonstrate that the human tympanic membrane exhibits behavior that is more realistically described as a damped harmonic oscillator rather than an undamped simple harmonic oscillator. This model provides an improved theoretical foundation for understanding the vibration patterns of normal tympanic membranes in response to sound.
References
References
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