Nonlinear dynamic behaviors of perovskite membranes under opto-electro-thermo-mechanical fields

• Impact of light illumination on dielectric property of perovskite devices is studied. • A new model for structural analysis of perovskites under multi-fields is developed. • Nonlinear vibrations of opto-electrically loaded perovskite membrane is studied. • Perovskite membrane shows subharmonic and superharmonic resonance under high light. Perovskite membranes show significant promise for solar cells and optoelectronic devices due to their exceptional optoelectronic properties and mechanical flexibility. Understanding their vibration characteristics and dynamic responses under opto-electro-thermo-mechanical fields is crucial for their practical optoelectronic applications. This paper develops an opto-electro-thermo-mechanical model for lead halide perovskite membranes, considering photostriction, photothermal effect, photodielectric effect, electrostriction and piezoelectricity, and investigates their nonlinear dynamic behaviors. The governing equations are derived based on strain energy density function and dielectric coupling theory, and then numerically solved using Taylor series expansion, the differential quadrature method, incremental harmonic balance, and arc-length continuation techniques. Comprehensive parametric studies are performed to examine the influences of multi-physics fields on the nonlinear dynamic behaviors of the perovskite membranes. Numerical results reveal that light illumination and applied electric field lead to a reduction in the nonlinear frequency of the perovskite membrane, while the nonlinear frequency ratio and dimensionless amplitude increase. Additionally, under higher light intensity, the membrane exhibits multiple subharmonic and superharmonic resonance phenomena, highlighting the complexity of its dynamic behaviors in multi-physics environments.