Cl. Hom et N. Shankar, A DYNAMICS MODEL FOR NONLINEAR ELECTROSTRICTIVE ACTUATORS, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 45(2), 1998, pp. 409-420
This paper examines the nonlinear vibration of an electrostrictive cer
amic rod actuator excited by a harmonic voltage source. A frequency-do
main model was developed using the nonlinear constitutive law for elec
trostriction. The results predict harmonic distortion of the device's
displacement due to the ceramic's nonlinear behavior. AC voltage signa
l and DC voltage bias were studied to determine the optimum power sour
ce parameters for minimizing distortion. The calculations show that th
e rod's resonance frequency and amplitude depend on the electromechani
cal coupling strength and differ greatly for large AC voltages from th
e equivalent linear piezoelectric results. The nonlinear analysis rela
tes the device's electromechanical coupling coefficient to the compute
d resonance and antiresonance frequencies. This important result could
provide the basis for future measurement of the electrostrictive coup
ling coefficient using resonance techniques.