Construction of the exact solution to a torsion problem for an elastic shaft of variable cross section

被引：2

作者：

Popov, GY ^{[1
]}

机构：

[1] Odessa Natl Univ, Odessa, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2002年 / 38卷 / 08期

关键词：

Torque; Coordinate System; Exact Solution; Tangential Force; Variable Cross Section;

D O I：

10.1023/A:1021224031409

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The exact solution is constructed to a torsion problem for a circular elastic shaft in a medium referred to a spherical coordinate system. One end of the shaft is rigidly fixed and the other is subjected to either tangential forces or a torque. New integral transforms are obtained to solve the problem.

引用

页码：967 / 973

页数：7

共 50 条

[31] SOLUTION TO PROBLEM OF ELASTOPLASTIC TORSION OF A CYLINDRICAL ROD WITH MULTICONNECTIVE SECTION
LANCHON, H
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 271 (22): : 1137 - &
[32] Torsion problem of rectangular cross section bar with inner crack
Chen, YZ
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 162 (1-4) : 107 - 111
[33] An Exact Solution of Torsion Problem for an Incomplete Torus with Application to Helical Springs
V. Kobelev
Meccanica, 2002, 37 : 269 - 282
[34] Nonuniform elastic torsion and flexure of members with asymmetric cross-section
Brown, E.H.
Burgoyne, C.J.
International Journal of Mechanical Sciences, 1994, 36 (01) : 39 - 48
[35] Os some cases of exact solution of the torsion problem for unsymmetrical domains
Solonoutz, B
COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1939, 22 : 161 - 162
[36] An exact solution of torsion problem for an incomplete torus with application to helical springs
Kobelev, V
MECCANICA, 2002, 37 (03) : 269 - 282
[37] Torsion of a Cosserat elastic bar with square cross section: theory and experiment
W. J. Drugan
R. S. Lakes
Zeitschrift für angewandte Mathematik und Physik, 2018, 69
[38] Torsion of a Cosserat elastic bar with square cross section: theory and experiment
Drugan, W. J.
Lakes, R. S.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (02):
[39] A nonclassical formulation for torsion of variable cross section functionally graded microbars
Arani, Ehsan Mohammadi
Rahaeifard, Masoud
ACTA MECHANICA, 2022, 233 (09) : 3481 - 3495
[40] TORSION OF THIN-WALLED BARS WITH VARIABLE CROSS-SECTION
WILDE, P
ARCHIWUM MECHANIKI STOSOWANEJ, 1968, 20 (04): : 431 - &

← 1 2 3 4 5 →