The physics of oscillating surfaces and sounds

The longitudinal oscillations of air columns composed of contractions and rarefaction make up sound. Sound amplification is widely used in medical, electronic and communication fields. A simplistic technique for producing and amplifying can be rewarding. In this study, we investigate a simplistic DIY speaker configuration that can be utilized for sound creation and modulation by implementing response of magnets and a solenoid to an oscillating input signal. We use steady state solution of forced simple harmonic oscillator with damping parameters to analyze our design and show its characteristic frequencies. We present an analytical way of obtaining optimal parameters of the setup to theoretically obtain experimental characteristic frequencies and provide an in-depth investigation of the setup.
Comment: 22 pages