Statistical energy analysis modeling and testing of an acoustic guitar

Principals of statistical energy analysis (SEA) were applied to develop a mathematical expression for the time‐averaged, space‐averaged energy of vibration in specified frequency bands for the top plate of an acoustic guitar. The model predicted energy in terms of string parameters, guitar parameters, and plucking data. Primary assumptions were that the damping of the strings was negligible, that energy flowed from the strings to the resonance box, and that energy was dissipated in the resonance box. Power supplied to the strings was estimated from a classical model of the vibrating string. An experimental plucking apparatus was designed and instrumented with Bruel & Kjaer vibration analysis equipment. The results of the SEA‐based computer program were compared to actual experimental data for a Yamaha FG335 acoustic guitar. The SEA model tended to overpredict the energy in the top plate in most frequency bands. Possible causes for the differences were identified and discussed.