Purpose Dental implants are placed in the jaw of a patient to perform the function of a missing tooth. However, before the
implant is subjected to masticatory loading, sufficient osseointegration should take place to prevent its failure. Resonance
Frequency Analysis is one of the methods to measure the primary stability of an implant system in terms of micromotion.
This paper aims to formulate a mathematical model of the dental prosthetic for the vibroacoustic RFA technique.
Methods Vibroacoustic RFA is a novel method that excites the implant using either a loudspeaker or a buzzer and captures
the subsequent displacement. In this study, a single degree of freedom mathematical model is excited using a sinusoidal
force. The subsequent displacement or micro-motion of the implant system is found out by basic equations of vibrations
while varying the input frequency between 1 – 50 Hz.
Results The resonant frequency corresponding to the maximum micro-motion which lies between 1.2 – 2 μm is plotted using
MATLAB. The resonant frequency values lie between 8975 – 8995 Hz with an average value of 8985 Hz. When the input
frequency increases beyond 40 Hz, the micromotion shows a percentage increase of 40.62%.
Conclusion A higher value of resonance frequency indicates better osseointegration with decrease in micromotion. A Mathematical
model and subsequent signal analysis using RFA is advantageous for implant stability measurement. Further research
is needed to develop multiple degree of freedom systems to simulate the dental implant model.