Ohm's Law cannot be directly applied to analyze the behavior of piezoelectric motors and actuators. Ohm's Law is specifically applicable to electrical circuits with resistive elements, where the relationship between voltage, current, and resistance is described as V = I * R.
Piezoelectric motors and actuators, on the other hand, operate based on the piezoelectric effect, where mechanical strain or displacement is induced in response to an applied electric field. The fundamental equation governing the behavior of piezoelectric materials is not Ohm's Law, but rather the piezoelectric equation:
=
ā
+
ā
s=dāE+Ī²āE
T
In this equation:
s represents the mechanical strain or displacement generated by the piezoelectric material.
d is the piezoelectric coefficient, which relates mechanical strain to the electric field.
E is the applied electric field.
Ī² is the converse piezoelectric coefficient, which relates the electric field to mechanical strain.
E
T
is the transposed electric field, meaning the electric field in the opposite direction to
E.
This equation shows that the behavior of piezoelectric motors and actuators is governed by the relationship between the applied electric field and the resulting mechanical strain or displacement. This behavior is far more complex than Ohm's Law, which only deals with the relationship between voltage, current, and resistance in resistive circuits.
To analyze the behavior of piezoelectric motors and actuators, other models and equations, such as the piezoelectric constitutive equations, mechanical equations of motion, and other relevant electromechanical principles, need to be used in conjunction with the piezoelectric effect equation. These models take into account the mechanical and electrical properties of the piezoelectric material, the structural design of the motor or actuator, and the applied voltage and load conditions to predict their behavior accurately.