Lead lanthanum zirconate titanate (PLZT) ceramics can transform the light energy into the mechanical energy without electric lead wires. The optical and direct drive based on PLZT ceramics, which is also green drive and non-contact drive, has many advantages in micro-driven and structure vibration control. However, the response of the photo-deformation is far slower than the photovoltage and the photocurrent, and the hysteresis and nonlinear of the photo-deformation prevent PLZT from applying to actuation and active structure vibration control. In this paper, a novel mathematical model based on the photovoltaic effect and the viscoelastic effect was established. The novel mathematical model was validated through experiments. According to the new expression of photo-deformation, the viscoelastic effect leading to the hysteresis and nonlinear of the photostrictive response was analyzed.

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