Super‐Convergent Meshless Computations for Active Vibration Control of Bi‐Directional Functionally Graded Terfenol‐D Beams with Twisted Geometry

Abstract

This paper presents a superconvergent meshless numerical approach based on generalized differential quadrature method to analyze the dynamic behavior of bidirectional functionally graded aluminum‐Terfenol‐D beams with twisted geometry. The power‐law exponent model is exploited to modify the material properties, such as Young's modulus and mass density, over the whole thickness and longitudinal direction of the bidirectional functionally graded aluminum‐Terfenol‐D beams. The influences of Terfenol‐D's bidirectional gradation, porosity volume fraction index, twisted angle, and viscoelastic boundary conditions are investigated on the dynamic characteristics with the notion of developing a design‐oriented mapping of the input parameter space. Subsequently, the study delves into the effectiveness of Terfenol‐D in vibration control for complex twisted structural systems. Computational investigations are conducted to demonstrate the impact of gain control, and the characteristics and optimal arrangement of Terfenol‐D patches on the dynamic response of active sandwich beams under transverse impulsive loads. The findings show that the implementation of active vibration control exploiting Terfenol‐D's magnetostrictive qualities can have a significant impact on reducing the oscillations of bidirectional functionally graded beams. The control studies reveal that placing five Terfenol‐D patches at provides the most effective damping, compared to placement at or using a full Terfenol‐D layer. The findings highlight the potential of strategically graded and patch‐configured magnetostrictive layers for tailoring vibration behavior in complex structural systems.