Buckling Analysis of Inclined Beam-Column Structures by Using Differential Transform Method (DTM)

Ayse Ozkan; Ibrahim Özkol

doi:10.4028/www.scientific.net/AMM.390.251

Paper Titles

Numerical Analysis of the Exterior Explosion Effects on the Buildings with Barriers
p.230

Numerical Research on Dynamic Response of Underwater Vehicles in the Vertical Tube-Exit Stage
p.235

Exact Solutions of the Vibration Problem of Beam Structures
p.242

The Study of Elastic Dynamic of the Deployment Mechanism in Large Deployable Reflector
p.246

Buckling Analysis of Inclined Beam-Column Structures by Using Differential Transform Method (DTM)
p.251

Structural Modal Analysis of a New Twin-Rotor Piston Engine
p.256

Mechanical Efficiency of a Mass-Spring System in Hypergravity, Normal Gravity and Microgravity
p.261

3D Dynamic Hydroelasticity Analysis of Light Weight Pyramidal Sandwich Plates with Imperfection Subjected to Water Impact
p.266

Off Design Behavior of a 100kW Turbec T100P Micro Gas Turbine
p.275

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 390Buckling Analysis of Inclined Beam-Column...

Buckling Analysis of Inclined Beam-Column Structures by Using Differential Transform Method (DTM)

Abstract:

In this work a classical structural element inclined beam-column has been analyzed for two boundary conditions by applying a semi-analytical numerical technique differential transform method (DTM).Eigenvalues related to critical load and length, and deflection curves are presented for pinned-pinned and clamped-pinned end condition cases.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volume 390)

Pages:

251-255

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.390.251

Citation:

Cite this paper

Online since:

August 2013

Authors:

Ayse Ozkan, Ibrahim Özkol

Keywords:

Boundary Condition, Buckling, Critical Load, Differential Transform Method (DTM), Eigenvalue, Inclined Beam-Column

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] L. Euler: Sur la forces des colunnes. Mem. Acad. Berlin Vol. 13 (1757), pp.252-282.

Google Scholar

[2] A.G. Greenhill: Determination of the greatest height consistent with stability that a vertical pole or mast can be made, and of the greatest height to which a tree of a given proportions can grow. Proc. Cambridge Phil. Soc. Vol. 4 (1881), pp.65-74.

DOI: 10.1051/jphystap:018820010033701

Google Scholar

[3] Q.S. Li: Exact solution for buckling of non-uniform columns under axial concentrated and distributed loading. Eur. J. Mech. A/Solids Vol. 20 (2001), pp.485-500 S.P. Timoshenko, G.M. Gere: Theory of Elastic Stability, Dover, New York (1961).

DOI: 10.1016/s0997-7538(01)01143-3

Google Scholar

[4] C.H. Chang: Buckling of slanted columns. J. of the Eng. Mech. Div. ASCE Vol. 100 EM4 (1974), pp.737-756.

DOI: 10.1061/jmcea3.0001917

Google Scholar

[5] N.C. Huang, B. Vahidi: Snap-through buckling of two simple structure. International Journal of Non-Linear Mechanics Vol. 6 (1971), pp.295-310.

DOI: 10.1016/0020-7462(71)90011-4

Google Scholar

[6] J.H. BA Sampaio: Mathematical model and analytical solution for buckling of inclined beam-columns. Applied Mathematical Modelling Vol. 22 (1998), pp.405-421.

DOI: 10.1016/s0307-904x(98)10014-8

Google Scholar

[7] A. Ozkan: Buckling Analysis of Inclined Beam Column Structures Under Different Boundary Conditions Using Differential Transform Method. Dissertation of Master of Science, I.T.U., Istanbul(2012).

Google Scholar

[8] A. Arikoglu, I. Ozkol: Solutions of integral and integro-differential equation systems by using differential transform method. Comput. Math. Appl., Vol. 56 (2008), pp.2411-2417.

DOI: 10.1016/j.camwa.2008.05.017

Google Scholar

[9] API Specification for drillpipe: American Petroleum Institute. Washington (2001).

Google Scholar