Analysis of quality factor of quartz-crystal tuning forks using L-shaped bar model with torsion spring

Abstract

We analyzed the quality factor of a quartz-crystal tuning fork using an L-shaped bar model that consisted of two bars depicting the right half of the tuning fork and a torsion spring at the joint of its arm and base bars. An analysis of the quality factor showed that the calculated quality factor is lower by approximately 10% of that calculated by a cantilever model and is closer to the measured quality factor.

Analytical modeling and experimental validation of a V-shape piezoelectric ultrasonic transducer

“…Two piezoelectric transducers are connected together through a coupling point, forming a V-shape piezoelectric composite structure. As its unique structure, the V-shape piezoelectric transducer has been widely applied to the piezoelectric actuator (ultrasonic motor) [1][2][3][4], ultrasonic aided processing [5,6], sensor [7], and energy harvesting device [8][9][10]. For example, the V-shape ultrasonic motor with advantages such as high efficiency, simple structure, and high weight-to-thrust ratio, has been applied to aerospace and precision positioning applications.…”