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This investigation focuses on the analysis of the transverse vibration of a functional gradient material (FGM) beam incorporating magnetostrictive layers, aiming at vibration control. Employing the finite element method, we solve the differential equation governing the beam’s vibratory behavior. The obtained solutions yield natural frequencies and damping factors consistent with existing literature. To ensure the precision of our formulation and finite element solution, we examine the natural frequencies for various FGM material combinations. Additionally, our study delves into exploring the influence of magnetostrictive layers, material properties, and the impact of an elasticized foundation on the efficacy of vibration suppression. These findings are crucial for determining the future of vibration control systems in structures, with potentially groundbreaking implications for various industrial and technological applications.

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Transverse Vibration Analysis of Functionally Graded Beams with Magnetostrictive Layers of Terfenol-D on a Winkler Foundation Using the Finite Element Method

  • 章节

  • 发表日期：

    2025年

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  • Brahim Echouai,
  • Omar Outassafte,
  • Ahmed Adri,
  • Yassine El Khouddar,
  • Issam El Hantati,
  • Rhali Benamar

摘要

This investigation focuses on the analysis of the transverse vibration of a functional gradient material (FGM) beam incorporating magnetostrictive layers, aiming at vibration control. Employing the finite element method, we solve the differential equation governing the beam’s vibratory behavior. The obtained solutions yield natural frequencies and damping factors consistent with existing literature. To ensure the precision of our formulation and finite element solution, we examine the natural frequencies for various FGM material combinations. Additionally, our study delves into exploring the influence of magnetostrictive layers, material properties, and the impact of an elasticized foundation on the efficacy of vibration suppression. These findings are crucial for determining the future of vibration control systems in structures, with potentially groundbreaking implications for various industrial and technological applications.