Development of spectral element method for free vibration of axially-loaded functionally-graded beams using the first-order shear deformation theory
DOI10.1016/j.euromechsol.2022.104759zbMath1497.74077OpenAlexW4289931176WikidataQ114179878 ScholiaQ114179878MaRDI QIDQ2168520
Mojtaba Gorji Azandariani, Elnaz Zare, Mohammad Gholami
Publication date: 31 August 2022
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2022.104759
analytical solutionspectral element methodfirst-order shear deformation theoryHamilton principleslenderness ratio effectWittrock-Williams algorithm
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Spectral and related methods applied to problems in solid mechanics (74S25) Strings (74K05)
Related Items (1)
Cites Work
- A higher-order theory for static and dynamic analyses of functionally graded beams
- Free vibration characteristics of a functionally graded beam by finite element method
- A new beam finite element for the analysis of functionally graded materials.
- Transverse vibration of axially moving functionally graded materials based on Timoshenko beam theory
- Static plastic analysis of metallic sandwich beam with functionally graded core
- Effect of surface stresses on the dynamic behavior of bi-directional functionally graded nonlocal strain gradient nanobeams via generalized differential quadrature rule
- Buckling analysis of open-section beams with thin-walled functionally graded materials along the contour direction
- Dynamic analysis of an inclined sandwich beam with bidirectional functionally graded face sheets under a moving mass
- Static, stability and dynamic characteristics of asymmetric bi-directional functionally graded sandwich tapered elastic arches in thermo-mechanical environments
- Nonlocal layerwise formulation for bending of multilayered/functionally graded nanobeams featuring weak bonding
- Analogies between \textsc{Kirchhoff} plates and functionally graded \textsc{Saint-Venant} beams under torsion
- A matrix methodology for spectral analysis of wave propagation in multiple connected Timoshenko beams
- Natural frequencies of frames with axially loaded Timoshenko Members
This page was built for publication: Development of spectral element method for free vibration of axially-loaded functionally-graded beams using the first-order shear deformation theory