A homogeneous elliptical shaft may not warp under torsion

Acta Mechanica

Volumn 169, Issue 1-4, 2004, Pages 221-224

  Chen, T ^a,b  

^a National Cheng Kung University ^*

^b NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; FUNCTION EVALUATION; STRESS ANALYSIS; THEOREM PROVING; TORSIONAL STRESS; VECTORS;

ELASTIC SYMMETRY; ELLIPTICAL SHAFTS; ZERO WRAPPING;

SHAFTS (MACHINE COMPONENTS);

EID: 3042549116     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-004-0093-2     Document Type: Article

References (5)

1. Sokolnikoff, I. S.: Mathematical theory of elasticity. New York: McGraw-Hill 1956.
2. Courant, R.: Dirichlet's principle, conformal mapping, and minimal surfaces. Berlin: Springer 1977.
3. Polya, G.: Torsional rigidity, principal frequency, electrostatic capacity, and symmetrization. Quart. Appl. Math. 6, 267-277 (1948).
4. Lekhnitskii, S. G.: Theory of elasticity of an anisotropic body. Moscow: MIR 1981.
5. Chen, T., Benveniste, Y., Chuang, P. C.: Exact solutions in torsion of composite bars: thickly coated neutral inhomogeneities and composite cylinder assemblages. Proc. R. Soc. Lond. A 458, 1719-1759 (2002).