One of the areas of application of piezoelectric elements in advanced technology is associated with their usage to control the structure shape under operational loads, to suppress actively vibrations and oscillations that occur during operation, or to change adaptively the aerodynamic contour of aircraft in order to increase their maneuverability, stability, and fuel efficiency. In numerical modeling of the structures with piezoelectric material, the piezoelectric effect can be modeled by using 3D finite elements, where both mechanical and electrical properties of the material are taken into account. For numerical modeling of piezoelectric materials in the structures, due to the complexity of geometry or a large number of degrees of freedom, it is advisable to use another approach based on temperature analogy. In this study, the application of temperature analogy is successfully demonstrated for solving active control problems using the example of static analysis of cantilevered beam with piezoelectric actuator. The ANSYS software package based on the finite element method was used to solve the numerical problem. Numerical modeling and analysis of unimorph beam were performed using analytical and numerical calculations. The influence of SHELL and SOLID finite elements on the calculated value of deflection of the end of cantilevered beam with piezoelectric actuator was compared. Calculation results for unimorph beam with piezoelectric actuator indicate that use of thermal analogy shows good convergence with coupled field analysis in static solution.