Investigation of the damping performance of a shape memory alloy beam

The aim of this research is to introduce a semi-analytical approach for analyzing the free and forced nonlinear vibrations of a bending shape memory alloy (SMA) beam with considering the effect of its pseudo-elastic behavior. In order to create a primary deflection, an appropriate pre-strain is applied to the SMA beam using a compression spring. A new material model is utilized to simulate the nonlinear hysteric behavior of the SMA beam, while the differential equations of motion of the beam are derived based on the Euler–Bernoulli beam theory and Hamilton principle. The extracted nonlinear partial differential equations of motion are semi-analytically solved by utilizing the Galerkin method. The pseudo-elastic behavior and energy dissipation of the SMA beam are studied in the free and forced nonlinear vibration regimes. Finally, the influences of the system parameters such as the spring constant, amplitude, and frequency of the excitation force on the absorber efficiency are investigated, and its stability is studied. The numerical results depict that the SMA beam exhibits a highly nonlinear dynamical behavior, and can be used as an actuator for energy dissipation.

کلیدواژه ها:

Shape memory alloy beam ، Energy dissipation ، Pseudo-elastic behavior ، Free vibration ، Forced Vibration