Size-dependent stability of embedded beams with variable cross section

CİVALEK Ö., AKGÖZ B.

International Journal of Engineering Science, vol.208, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 208
  • Publication Date: 2025
  • Doi Number: 10.1016/j.ijengsci.2024.104210
  • Journal Name: International Journal of Engineering Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Buckling, Double-tapered microbeam, Nonlocal couple stress theory, Rayleigh-Ritz method, Winkler foundation
  • Akdeniz University Affiliated: Yes

Abstract

This paper deals with the investigation of the elastic stability of double tapered microbeams embedded in Winkler elastic foundation. It is considered that the microbeam is embedded in a continuous elastic constraint and its cross-section changes linearly along the longitudinal direction. Nonlocal couple stress theory and Bernoulli-Euler beam theory are used to obtain the size-dependent constitutive equation. Rayleigh-Ritz method with algebraic polynomials is utilized to find the minimum eigenvalue as the critical buckling load for simply supported tapered microbeams. The effects of taper ratio, taper type, nonlocal and length scale parameters, and foundation parameter are comprehensively examined.