Ritz-Type Quasi-3D Solution for Free Vibration and Buckling of Functionally Graded Sandwich Beams with Porous Core Resting on a Two-Parameter Elastic Foundation


Mohamed I., KAHYA V., ŞİMŞEK S.

Arabian Journal for Science and Engineering, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s13369-024-09729-5
  • Dergi Adı: Arabian Journal for Science and Engineering
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, Pollution Abstracts, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Buckling, Elastic foundation, FG Sandwich beam, Free vibration, Porosity, Quasi-3D theory, Ritz method
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This paper presents for the first time an investigation into the free vibration and buckling of FG sandwich beams with porous ceramic core and sandwich beams with ceramic/metal faces and FG porous core resting on a two-parameter Winkler–Pasternak elastic foundation using quasi-3D theory. The FG material properties vary continuously in the thickness direction according to the power-law rule. A core with three kinds of porosity patterns including uniform, symmetric, and asymmetric is considered. The governing equation of motion is derived from Lagrange’s equations. The Ritz method is used for the solution by developing different polynomial and exponential series functions for various boundary conditions. The accuracy and convergence of the proposed model are verified with several numerical examples through comparisons with existing results. New results exploring the effects of the boundary conditions, skin-to-core thickness ratio, power-law index, slenderness, porosity coefficient, core porosity distribution pattern, and elastic foundation parameters on the natural frequencies and critical buckling loads of FG sandwich beams are presented in graphical and tabular forms. It is found that the core porosity distribution pattern has a significant effect on the mechanical characteristics of sandwich beams with porous core. Benchmark results provided in this study offer valuable insights for future research on FG sandwich beams with porous cores and practical applications. Therefore, the findings of this study have the potential to inform the design and optimization of FG sandwich beams with porous core for a wide range of engineering applications.