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：To study the characteristics of displacement response for a V-shaped electrothermal actuator， considering that the material parameters are affected by temperature nonlinearity and discontinuous bound • ary problems in the mathematical model，the characteristics of displacement response for the V-shaped electrothermal actuator were studied in theory，simulation，and experiment. First，an electro-thermal-me• chanical coupling model of a V-shaped electrothermal actuator was established by introducing updating functions of a material parameter related to the temperature. Expressions for the temperature and transient displacement of the V-shaped electrothermal actuator were obtained using the improved Chebyshev spec• trum method to solve the constructed coupling model. Then，a finite element simulation and theoretical analysis of the temperature and displacement of the V-shaped electrothermal actuator were performed to verify the correctness of the model. Finally，an experimental platform for the transient displacement re•

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