scholarly journals Ritz solution for buckling analysis of thin-walled composite channel beams based on a classical beam theory

2019 ◽  
Vol 13 (3) ◽  
pp. 34-44
Author(s):  
Nguyen Ngoc Duong ◽  
Nguyen Trung Kien ◽  
Nguyen Thien Nhan
Keyword(s):  
Ritz Method ◽  
Beam Theory ◽  
Buckling Analysis ◽  
Governing Equations ◽  
Buckling Loads ◽  
Composite Channel ◽  
Fiber Angle ◽  
Walled Channel ◽  
Thin Walled ◽  
Classical Beam Theory

Buckling analysis of thin-walled composite channel beams is presented in this paper. The displacement field is based on classical beam theory. Both plane stress and plane strain state are used to achieve constitutive equations. The governing equations are derived from Lagrange’s equations. Ritz method is applied to obtain the critical buckling loads of thin-walled beams. Numerical results are compared to those in available literature and investigate the effects of fiber angle, length-to-height’s ratio, boundary condition on the critical buckling loads of thin-walled channel beams. Keywords: Ritz method; thin-walled composite beams; buckling.

scholarly journals Vibration and Instability of Rotating Composite Thin-Walled Shafts with Internal Damping

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Ren Yongsheng ◽  
Zhang Xingqi ◽  
Liu Yanghang ◽  
Chen Xiulong
Keyword(s):  
Virtual Work ◽  
Numerical Study ◽  
Equations Of Motion ◽  
Beam Theory ◽  
Dynamical Analysis ◽  
Design Parameters ◽  
Internal Damping ◽  
Analysis Method ◽  
Governing Equations ◽  
Thin Walled

The dynamical analysis of a rotating thin-walled composite shaft with internal damping is carried out analytically. The equations of motion are derived using the thin-walled composite beam theory and the principle of virtual work. The internal damping of shafts is introduced by adopting the multiscale damping analysis method. Galerkin’s method is used to discretize and solve the governing equations. Numerical study shows the effect of design parameters on the natural frequencies, critical rotating speeds, and instability thresholds of shafts.

scholarly journals Non-linear buckling analysis of functionally graded shallow spherical shells

2009 ◽  
Vol 31 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Dao Huy Bich
Keyword(s):  
External Pressure ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Governing Equations ◽  
Spherical Shells ◽  
Buckling Loads ◽  
Linear Buckling ◽  
Non Linear ◽  
Linear Buckling Analysis

In the present paper the non-linear buckling analysis of functionally graded spherical shells subjected to external pressure is investigated. The material properties are graded in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. In the formulation of governing equations geometric non-linearity in all strain-displacement relations of the shell is considered. Using Bubnov-Galerkin's method to solve the problem an approximated analytical expression of non-linear buckling loads of functionally graded spherical shells is obtained, that allows easily to investigate stability behaviors of the shell.

Shear-deformable hybrid finite-element formulation for lateral-torsional buckling analysis of composite thin-walled members

2020 ◽  
Author(s):  
Emre Erkmen ◽  
Vida Niki ◽  
Ashkan Afnani
Keyword(s):  
Finite Element ◽  
Beam Theory ◽  
Buckling Analysis ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Hybrid Finite Element ◽  
Thin Walled ◽  
Shear Deformable

A shear deformable hybrid finite element formulation is developed for the lateral-torsional buckling analysis of fiber-reinforced composite thin-walled members with open cross-section. The method is developed by using the Hellinger-Reissner functional. Comparison to the displacement-based formulations the current hybrid formulation has the advantage of incorporating the shear deformation effects easily by using the strain energy of the shear stress field without modifying the basic kinematic assumptions of the thin-walled beam theory. Numerical results are validated through comparisons with results based on other formulations presented in the literature. Examples illustrate the effects of shear deformations and stacking sequence of the composite layers in predicting bucking loads.

Distortional Buckling of Cold-Formed Thin-Walled Channel Beams in Combined Compression and Minor Axis Bending

2010 ◽  
Vol 163-167 ◽  
pp. 507-510 ◽  
Author(s):  
Hong Guang Luo ◽  
Yao Jie Guo ◽  
Yun Xu
Keyword(s):  
Excellent Agreement ◽  
Critical Stress ◽  
Beam Theory ◽  
Minor Axis ◽  
Elastic Analysis ◽  
Distortional Buckling ◽  
Walled Channel ◽  
Thin Walled ◽  
Research And Design ◽  
Generalized Beam Theory

On the basis of the Generalized Beam Theory (GBT), this paper presents an elastic analysis of the distortional critical stress of cold-formed thin-walled lipped channels in combined compression and minor axis bending. The results obtained using the exact analysis presented herein have shown excellent agreement with previous available results. And the accuracy, validity and effectiveness of the presented solution were demonstrated. The calculating process was displayed by an example which can give reference to the research and design. This paper will contribute to the understanding of distortional mechanics in thin-walled members.

scholarly journals Buckling of cylindrical panels strengthened with an orthogonal grid of stiffeners

2020 ◽  
Vol 17 (6) ◽  
pp. 117-125
Author(s):  
A. A. Semenov ◽  
◽  
L. P. Moskalenko ◽  
V. V. Karpov ◽  
M. V. Sukhoterin ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Geometric Nonlinearity ◽  
Computational Algorithm ◽  
Ritz Method ◽  
Buckling Loads ◽  
Orthogonal Grid ◽  
Cylindrical Panels ◽  
Thin Walled ◽  
Best Parameter ◽  
Transverse Shears

The paper presents a mathematical model of deformation of thin-walled cylindrical shell panels, taking into account transverse shears, geometric nonlinearity, and the presence of ribbed stiffeners. Dimensionless parameters are used. The computational algorithm is based on using the Ritz method and the method of continuation of the solution with respect to the best parameter. There are shown the values of critical buckling loads for several variants of structures, depending on the chosen method of taking into account the reinforcement and the number of stiffeners.

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