Flexural-torsional stability of thin-walled functionally graded open-section beams

2017 ◽  
Vol 110 ◽  
pp. 88-96 ◽  
Author(s):  
Tan-Tien Nguyen ◽  
Pham Toan Thang ◽  
Jaehong Lee
Keyword(s):  
Functionally Graded ◽  
Open Section ◽  
Thin Walled ◽  
Torsional Stability

scholarly journals Nonlinear buckling behaviours of thin-walled functionally graded open section beams

2016 ◽  
Vol 152 ◽  
pp. 829-839 ◽  
Author(s):  
Domagoj Lanc ◽  
Goran Turkalj ◽  
Thuc P. Vo ◽  
Josip Brnić
Keyword(s):  
Functionally Graded ◽  
Nonlinear Buckling ◽  
Open Section ◽  
Thin Walled

Free vibration of thin-walled functionally graded open-section beams

2016 ◽  
Vol 95 ◽  
pp. 105-116 ◽  
Author(s):  
Tan-Tien Nguyen ◽  
Nam-Il Kim ◽  
Jaehong Lee
Keyword(s):  
Free Vibration ◽  
Functionally Graded ◽  
Open Section ◽  
Thin Walled

scholarly journals Nonlocal Analysis of the Flexural–Torsional Stability for FG Tapered Thin-Walled Beam-Columns

Nanomaterials ◽  
2021 ◽  
Vol 11 (8) ◽  
pp. 1936
Author(s):  
Masoumeh Soltani ◽  
Farzaneh Atoufi ◽  
Foudil Mohri ◽  
Rossana Dimitri ◽  
Francesco Tornabene
Keyword(s):  
Power Law ◽  
Scale Effects ◽  
Nonlocal Parameter ◽  
Functionally Graded ◽  
Small Scale ◽  
Torsional Buckling ◽  
Beam Columns ◽  
Thin Walled ◽  
Torsional Stability ◽  
Flexural Torsional Buckling

This paper addresses the flexural–torsional stability of functionally graded (FG) nonlocal thin-walled beam-columns with a tapered I-section. The material composition is assumed to vary continuously in the longitudinal direction based on a power-law distribution. Possible small-scale effects are included within the formulation according to the Eringen nonlocal elasticity assumptions. The stability equations of the problem and the associated boundary conditions are derived based on the Vlasov thin-walled beam theory and energy method, accounting for the coupled interaction between axial and bending forces. The coupled equilibrium equations are solved numerically by means of the differential quadrature method (DQM) to determine the flexural–torsional buckling loads associated to the selected structural system. A parametric study is performed to check for the influence of some meaningful input parameters, such as the power-law index, the nonlocal parameter, the axial load eccentricity, the mode number and the tapering ratio, on the flexural–torsional buckling load of tapered thin-walled FG nanobeam-columns, whose results could be used as valid benchmarks for further computational validations of similar nanosystems.

scholarly journals Vibration and buckling optimization of thin-walled functionally graded open-section beams

2022 ◽  
Vol 170 ◽  
pp. 108586
Author(s):  
Linh T.M. Phi ◽  
Tan-Tien Nguyen ◽  
Joowon Kang ◽  
Jaehong Lee
Keyword(s):  
Functionally Graded ◽  
Open Section ◽  
Buckling Optimization ◽  
Thin Walled

Lateral buckling analysis of thin-walled functionally graded open-section beams

2017 ◽  
Vol 160 ◽  
pp. 952-963 ◽  
Author(s):  
Tan-Tien Nguyen ◽  
Pham Toan Thang ◽  
Jaehong Lee
Keyword(s):  
Buckling Analysis ◽  
Functionally Graded ◽  
Lateral Buckling ◽  
Open Section ◽  
Thin Walled

Pretwisted Curved Beams of Thin-Walled Open Section

1972 ◽  
Vol 39 (3) ◽  
pp. 779-785 ◽  
Author(s):  
A. I. Soler
Keyword(s):  
Numerical Technique ◽  
Equations Of Motion ◽  
Highway Bridges ◽  
Major Effect ◽  
Curved Beams ◽  
Open Section ◽  
Straight Beam ◽  
Thin Walled ◽  
Bending Modes ◽  
Axes Of Symmetry

Equations of motion are derived for coupled extension, flexure, and torsion of pretwisted curved bars of thin-walled, open section. The derivation is based on energy principles and includes inertia terms. The major effect of initial pretwist is to allow coupling of all possible beam deformation modes; however, if the bar is straight and has two axes of symmetry, pretwist causes coupling only between the two bending modes, and between extension and torsion. The governing equations are presented in first-order form, and a numerical technique is suggested for the case of space varying pretwist. It is suggested that these equations may form the basis for a simplified study of the effect of superelevation on the static and dynamic response of curved highway bridges. Finally, a simple straight beam with uniform pretwist is studied to compare effects of pretwist and restrained torsion in a thin-walled beam of open section.

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