scholarly journals Lateral stability analysis of steel tapered thin-walled beams under various boundary conditions

2018 ◽  
Vol 3 (1) ◽  
pp. 13-25
Author(s):  
M. Soltani ◽  
S. Asil Gharebaghi ◽  
F. Mohri ◽  
◽  
◽  
...  
Keyword(s):  
Stability Analysis ◽  
Boundary Conditions ◽  
Lateral Stability ◽  
Various Boundary Conditions ◽  
Thin Walled

Vibration and Frequency Analysis of Non-Uniform Timoshenko Beams Subjected to Axial Forces

2003 ◽  
Author(s):  
A. R. Ohadi ◽  
H. Mehdigholi ◽  
E. Esmailzadeh
Keyword(s):  
Stability Analysis ◽  
Boundary Conditions ◽  
Axial Force ◽  
Frequency Equation ◽  
Axial Loads ◽  
Various Boundary Conditions ◽  
Axial Forces ◽  
First Case ◽  
The Stability ◽  
Elastically Supported

Dynamic and stability analysis of non-uniform Timoshenko beam under axial loads is carried out. In the first case of study, the axial force is assumed to be perpendicular to the shear force, while for the second case the axial force is tangent to the axis of the beam column. For each case, a pair of differential equations coupled in terms of the flexural displacement and the angle of rotation due to bending was obtained. The parameters of the frequency equation were determined for various boundary conditions. Several illustrative examples of uniform and non-uniform beams with different boundary conditions such as clamped supported, elastically supported, and free end mass have been presented. The stability analysis, for the variation of the natural frequencies of the uniform and non-uniform beams with the axial force, has also been investigated.

The Morley-Koiter Equations for Thin-Walled Circular Cylindrical Shells: Part 2—Solution for a Line Loaded Cylinder With Close-Spaced Circumferential Grooves

1973 ◽  
Vol 40 (4) ◽  
pp. 966-970 ◽  
Author(s):  
C. P. Mangelsdorf
Keyword(s):  
Boundary Conditions ◽  
Evaluation Procedure ◽  
Equilibrium Equations ◽  
Line Load ◽  
Various Boundary Conditions ◽  
Longitudinal Line ◽  
Symmetrical Loading ◽  
Circular Cylindrical Shells ◽  
Simple Supports ◽  
Thin Walled

In Part 1, modified Donnell equilibrium equations were solved for the case of symmetrical loading and supports using Fourier series. An evaluation procedure for various boundary conditions was suggested. In Part 2, an application of the general solution is made for a shell with small circumferential grooves (or ribs) subjected to a longitudinal line load after approximations to allow for such groves are introduced. The solution is completed for boundary conditions of classical simple supports and relaxed simple supports and the results compared with experimental data.

Elastic Local Buckling of Transversely Isotropic Thin-Walled Compression Members with Varying Thickness

2004 ◽  
Vol 261-263 ◽  
pp. 627-632
Author(s):  
S.K. Jeong ◽  
Soon Jong Yoon ◽  
Sun Kyu Cho
Keyword(s):  
Boundary Conditions ◽  
Local Buckling ◽  
Transversely Isotropic ◽  
Longitudinal Direction ◽  
Graphical Form ◽  
Width Ratio ◽  
Various Boundary Conditions ◽  
Varying Thickness ◽  
Compression Members ◽  
Thin Walled

The problem addressed in this paper is the elastic local buckling of thin-walled compression members whose plate components are tapered in thickness along the longitudinal direction. In the design of structural system in construction, shipbuilding, and aerospace industries, such structural plate components are frequently encountered. The elastic buckling analysis of transversely isotropic plates with varying thickness and various boundary conditions is performed to derive the buckling equation of thin-walled members composed of tapered plate components. In the analytical solution, the energy approach is adopted. The analytical results are presented in a graphical form in which the plate buckling coefficients are suggested with respect to the width ratio of plate elements and the degree of taper. In addition, using the buckling equations of plates with specific boundary conditions, the simplified form of equation for the local buckling coefficient of structural members such as L-section, T-section, and Box-section is suggested.

RMVT-Based Nonlocal Timoshenko Beam Theory for Stability Analysis of Embedded Single-Walled Carbon Nanotube with Various Boundary Conditions

2016 ◽  
Vol 16 (10) ◽  
pp. 1550068 ◽  
Author(s):  
Chih-Ping Wu ◽  
Jyun-Yu Liou
Keyword(s):  
Carbon Nanotube ◽  
Stability Analysis ◽  
Boundary Conditions ◽  
Critical Load ◽  
Elastic Medium ◽  
Timoshenko Beam ◽  
Beam Theory ◽  
Single Walled Carbon Nanotube ◽  
Various Boundary Conditions ◽  
Nonlocal Timoshenko Beam Theory

On the basis of Reissner’s mixed variational theorem (RMVT), a nonlocal Timoshenko beam theory (TBT) is developed for the stability analysis of a single-walled carbon nanotube (SWCNT) embedded in an elastic medium, with various boundary conditions and under axial loads. Eringen’s nonlocal elasticity theory is used to account for the small length scale effect. The strong formulations of the RMVT-based nonlocal TBT and its associated possible boundary conditions are presented. The interaction between the SWCNT and its surrounding elastic medium is simulated using the Pasternak foundation models. The critical load parameters of the embedded SWCNT with different boundary conditions are obtained by using the differential quadrature (DQ) method, in which the locations of [Formula: see text] sampling nodes are selected as the roots of [Formula: see text]-order Chebyshev polynomials. The results of the RMVT-based nonlocal TBT are compared with those obtained using the principle of virtual displacement (PVD)-based nonlocal TBT available in the literature. The influences of some crucial effects on the critical load parameters of the embedded SWCNT are examined, such as different boundary conditions, Winkler stiffness and shear modulus of the foundation, aspect ratios, and the nonlocal parameter.

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