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 L/5 provides the most effective damping, compared to placement at L/5 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.

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ORCID for Susmita Naskar: orcid.org/0000-0003-3294-8333

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