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Journal of Polymer & Composites Original Research Special issue Open Access

Influence of Center Cut Geometry and Power Law Index on the Free Vibration of Functionally Graded Shells

  1. Ramu Inala Mechanical Engineering, Vishnu Institute of Technology, Bhimavaram
  2. Chandra Sekhar J Mechanical Engineering, Vishnu Institute of Technology, Bhimavaram
  3. Venu M Mechanical Engineering, Vishnu Institute of Technology, Bhimavaram
  4. Battina N. Malleswararao Mechanical Engineering, Shri Vishnu Engineering College for Women, Bhimavaram
  5. Manikanta NVV Mechanical Engineering, Vishnu Institute of Technology, Bhimavaram

Abstract

This study explores the influence of power law variations and center cut geometries on the vibrational characteristics of functionally graded material (FGM) shells using finite element analysis (FEA). Stainless steel-alumina oxide (Al2O3) composites serve as the FGM, offering a unique blend of ceramic heat resistance and metallic toughness. Power law functions within APDL tailor material properties across the shell thickness. The research investigates vibrations under various boundary conditions (CCCC, CCFF, CFFF) for FGM shells with distinct center cuts (rectangular, circular, square). Key findings reveal a strong correlation between center cut geometry and natural frequencies. Square cuts induce the highest frequencies, while circular cuts exhibit the lowest. Rectangular cuts fall between these extremes. This emphasizes the center cut's role in modulating vibrations. Furthermore, increasing the power law index systematically lowers frequencies across all cut sections. Boundary conditions significantly impact bending and torsional frequencies, with all sides clamped configurations yielding the highest values. This work provides valuable insights into tailoring vibration characteristics of FGM shells for diverse engineering applications.

Keywords

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