Exact three-dimensional elasticity solution for buckling of beam of a circular cross-section

被引：0

作者：

Taki T. ^{[1
]}

Kondo K. ^{[2
]}

机构：

[1] Aerospace Company, Kawasaki Heavy Industries, Ltd., Kakamigahara, Gifu

[2] Department of Aeronautics and Astronautics, University of Tokyo, Tokyo

来源：

Taki, Toshimi (taki_toshimi@khi.co.jp) | 2017年 / Japan Society for Aeronautical and Space Sciences卷 / 60期

关键词：

Buckling analysis of beam; Three-dimensional elasticity; Transverse shear effect;

D O I：

10.2322/tjsass.60.45

中图分类号：

学科分类号：

摘要：

An exact three-dimensional elasticity solution for buckling of a circular cross-section beam with one end fixed and the other end free is obtained. A comparison is made using the approximate solution by Kardomateas and an exact two-dimensional solution by Chattopadhyay and Gu. The buckling loads of both exact solutions are in good agreement with each other, but the buckling load using the approximate solution is slightly higher than the exact solutions. The exact solutions support Engesser's formula rather than Haringx's formula for the buckling load of a beam with transverse shear effect. © 2017 The Japan Society for Aeronautical and Space Sciences.

引用

页码：45 / 55

页数：10

共 50 条

[1] Exact Three-Dimensional Elasticity Solution for Buckling of Beam of a Circular Cross-Section
Taki, Toshimi
Kondo, Kyohei
TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, 2017, 60 (01) : 45 - 55
[2] An Exact Three-Dimensional Beam Element With Nonuniform Cross Section
Jafari, M.
Mahjoob, M. J.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2010, 77 (06):
[3] Exact dynamic stiffness matrix of a three-dimensional shear beam with doubly asymmetric cross-section
Rafezy, B
Howson, WP
JOURNAL OF SOUND AND VIBRATION, 2006, 289 (4-5) : 938 - 951
[4] Buckling of Asymmetrically Delaminated Three-Dimensional Twisted Composite Beam: Exact Solution
Kroflic, Ales
Saje, Miran
Planinc, Igor
Zupan, Dejan
JOURNAL OF ENGINEERING MECHANICS, 2013, 139 (08) : 1124 - 1132
[5] Three-dimensional elasticity solution for buckling of composite laminates
Gu, HZ
Chattopadhyay, A
COMPOSITE STRUCTURES, 2000, 50 (01) : 29 - 35
[6] Three-dimensional vibration analysis of thick, tapered rods and beams with circular cross-section
Kang, JH
Leissa, AW
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2004, 46 (06) : 929 - 944
[7] MAGNETOELASTIC BUCKLING OF A BEAM OF ELLIPTIC CROSS-SECTION
VANDEVEN, AAF
ACTA MECHANICA, 1984, 51 (3-4) : 119 - 138
[8] SCATTERING OF A THREE-DIMENSIONAL GAUSSIAN BEAM WITH CIRCULAR CROSS SECTION FROM A GYROTROPIC SLAB
Zinenko, T. L.
Yachin, V. V.
Marciniak, M.
Kiseliov, V. K.
2012 INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ELECTROMAGNETIC THEORY (MMET), 2012, : 300 - 303
[9] Exact natural frequencies of a three-dimensional shear-torsion beam with doubly asymmetric cross-section using a two-dimensional approach
Rafezy, B.
Howson, W. P.
JOURNAL OF SOUND AND VIBRATION, 2006, 295 (3-5) : 1044 - 1059
[10] Natural frequencies of thick, complete, circular rings with an elliptical or circular cross-section from a three-dimensional theory
Jae-Hoon Kang
Arthur W. Leissa
Archive of Applied Mechanics, 2006, 75 : 425 - 439

← 1 2 3 4 5 →