Buckling Analysis of Thin-Walled Beams by Two-Phase Local–Nonlocal Integral Model

GÜNAY, MUHSİN

doi:10.1007/s40997-022-00546-5

Buckling Analysis of Thin-Walled Beams by Two-Phase Local–Nonlocal Integral Model

Iranian Journal of Science and Technology - Transactions of Mechanical Engineering, cilt.47, sa.2, ss.765-777, 2023 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 47 Sayı: 2
Basım Tarihi: 2023
Doi Numarası: 10.1007/s40997-022-00546-5
Dergi Adı: Iranian Journal of Science and Technology - Transactions of Mechanical Engineering
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, INSPEC, Metadex
Sayfa Sayıları: ss.765-777
Anahtar Kelimeler: Buckling, Micro, Nano, Nonlocal, Thin-walled, Two-phase
Akdeniz Üniversitesi Adresli: Evet

Özet

© 2022, The Author(s), under exclusive licence to Shiraz University.A mathematical model is developed based on the thin-walled beam theory for buckling analysis of beams showing nonlocal properties. Constitutive equations of the thin-walled beams are defined by using two-phase local–nonlocal integral formulation. The developed model accounts for flexural–torsional coupling and warping effects as well as nonlocal elasticity. Governing equations of the nonlocal thin-walled beams which may have arbitrary open or closed cross-sections are derived by using the principle of minimum potential energy. Both local and nonlocal parts of the model are solved by a displacement-based finite element method, and formulation is given in detail. The effects of nonlocal parameters on the critical buckling force and buckling modes of nonlocal thin-walled beams are investigated for both open and closed cross-sections.