Radial vibration analysis of pseudoelastic shape memory alloy thin cylindrical shells by the differential quadrature method

• Studying forced vibration of SMA cylindrical shell under time-dependant pressure.
• Representing a fast and suitable solution procedure using numerical methods.
• Investigating the phase transformation effects on forced vibration of the shell.
• .Observing a softening behavior in the frequency response of the non-linear system.

This paper represents the radial vibrations of simply supported pseudoelastic shape memory alloy cylindrical shells under time-dependant internal pressure based on Donnell-type classical shell theory. The material behavior is simulated via the Boyd–Lagoudas model. The Hamilton’s principle, Differential Quadrature, and Newmark method are employed to obtain and solve the equations of motion. The phase transformation effects are studied on the time and frequency responses of the shell. Results show that the frequency response peak points have a shift to the left with respect to the natural frequencies of the linear system (pure austenitic phase) due to the phase transformation.