The influence of Winkler-Pasternak elastic foundations on the natural frequencies of imperfect functionally graded sandwich beams
GEOMECHANICS AND ENGINEERING, cilt.31, sa.1, ss.99-112, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 31 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.12989/gae.2022.31.1.099
- Dergi Adı: GEOMECHANICS AND ENGINEERING
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aquatic Science & Fisheries Abstracts (ASFA), Compendex
- Sayfa Sayıları: ss.99-112
- Anahtar Kelimeler: boundary conditions, FGMs, free vibration, porosity, sandwich beams, Winkler-Pasternak elastic foundations, FREE-VIBRATION ANALYSIS, SHEAR DEFORMATION-THEORY, RECTANGULAR-PLATES, FORCED VIBRATION, FG BEAMS, VISCOELASTIC FOUNDATION, NONLINEAR-ANALYSIS, STABILITY ANALYSIS, WAVE-PROPAGATION, REFINED THEORY
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
The present study examines the natural frequencies (NFs) of perfect/imperfect functionally graded sandwich beams (P/IP-FGSBs), which are composed of a porous core constructed of functionally graded materials (FGMs) and a homogenous isotropic metal and ceramic face sheets resting on elastic foundations. To accomplish this, the material properties of the FGSBs are assumed to vary continuously along the thickness direction as a function of the volume fraction of constituents expressed by the modified rule of the mixture, which includes porosity volume fraction represented using four distinct types of porosity distribution models. Additionally, to characterize the reaction of the two-parameter elastic foundation to the Perfect/Imperfect (P/IP) FGSBs, the medium is assumed to be linear, homogeneous, and isotropic, and it is described using the Winkler-Pasternak model. Furthermore, the kinematic relationship of the P/IP-FGSBs resting on the Winkler-Pasternak elastic foundations (WPEFs) is described using trigonometric shear deformation theory (TrSDT), and the equations of motion are constructed using Hamilton's principle. A closed-form solution is developed for the free vibration analysis of P/IP-FGSBs resting on the WPEFs under four distinct boundary conditions (BCs). To validate the new formulation, extensive comparisons with existing data are made. A detailed investigation is carried out for the effects of the foundation coefficients, mode numbers (MNs), porosity volume fraction, power-law index, span to depth ratio, porosity distribution patterns (PDPs), skin core skin thickness ratios (SCSTR), and BCs on the values of the NFs of the P/IP-FGSBs.