REFORMULATED STRAIN GRADIENT (RSG) ELASTICITY THEORY FOR FREE VIBRATION OF THERMAL BI-DIRECTIONAL FG MICROBEAM

Authors

  • Safa Hameed Majeed Department of Mechanical Engineering, College of Engineering, University of Thi-Qar, Thi-Qar,64001, Iraq
  • Talib Ehraize Elaikh Department of Mechanical Engineering, College of Engineering, University of Thi-Qar, Thi-Qar,64001, Iraq https://orcid.org/0000-0002-6031-8569
  • Adnan Abdul-hussien Ugla Department of Mechanical Engineering, College of Engineering, University of Thi-Qar, Thi-Qar,64001, Iraq

DOI:

https://doi.org/10.11113/jurnalteknologi.v86.21047

Keywords:

Bidirectional FGM microbeam, RSGE, Galerkin method (GM), thermal effect

Abstract

This research examines the vibrational response of a micro-scale Euler beam made from two-directional functionally graded (2D-FG) materials and subjected to thermal effects. By employing a reformulated strain gradient elasticity (RSGE) approach, the equations of motion using Hamilton’s principle for clamped -clamped and clamped-simply boundary conditions are derived and solved them using Galerkin's approach. The investigation explores the impact of temperature, gradient index, and parameters length scale materials on the bidirectional graded microbeam's dynamic characteristics. Furthermore, the normalized frequency, as based on the current reformulated strain gradient elasticity microbeam model, consistently emerges as higher than that derived from the classical model.

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Published

2024-01-15

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Science and Engineering

How to Cite

REFORMULATED STRAIN GRADIENT (RSG) ELASTICITY THEORY FOR FREE VIBRATION OF THERMAL BI-DIRECTIONAL FG MICROBEAM. (2024). Jurnal Teknologi, 86(2), 123-134. https://doi.org/10.11113/jurnalteknologi.v86.21047