Homogeneous solutions and saint-venant problems for a helical spring

Journal of Applied Mathematics and Mechanics

Volumn 62, Issue 4, 1998, Pages 641-648

  Kargin, D P ^a   Kurbatova, N V ^a   Ustinov, Yu A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032219145     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(98)00081-1     Document Type: Article

References (12)

1. 1. USTINOV, Yu. A., The Saint-Venant problem for a spring. Dokl. Ross. Akad. Nauk, 1995, 345, 5, 621-623.
2. 2. LUR'YE, A. I., The Theory of Elasticity. Nauka, Moscow, 1970.
3. 3. DRUZ', A. N., POLYAKOV, N. A. and USTINOV, Yu. A., Homogeneous solutions and Saint-Venant problems for a naturally twisted rod. Prikl. Mat. Mekh., 1996, 60, 4, 660-668.
4. 4. GETMAN, I. P. and USTINOV, Yu. A., The Mathematical Theory of Solid Irregular Waveguides. Izd. Rost. Univ. Rostov-on-Don, 1993.
5. 5. DRUZ', A. N. and USTINOV, Yu. A., Green's tensor for an elastic cylinder and its applications to the development of the St Venant theory. Prikl. Mat. Mekh., 1996, 60, 1, 102-110.
6. 6. MIKHLIN, S. G., Variational Methods in Mathematical Physics. Nauka, Moscow, 1970.
7. 7. TIMOSHENKO, S. P., Strength of Materials. P.1. Elementary Theory and Problems, 3rd edition. Van Nostrand, Princeton, NJ, 1955.
8. 8. ANCKER, C. J. and GOODIER, J. N., Pitch and curvature corrections for the helical springs. J. Appl. Mech., 1958, 25, 4, 466-470.
9. 9. ANCKER, C. J. and GOODIER, J. N., Theory of pitch and curvature corrections for the helical springs - I (tension). J. Appl. Mech., 1958, 25, 4, 471-483.
10. 10. ANCKER, C. J. and GOODIER, J. N., Theory of pitch and curvature corrections for the helical springs - II (tension). J. Appl. Mech., 1958, 25, 4, 484-495.
11. 11. ORLOV, P. I., Fundamentals of Construction, Vol. 2. Mashinostroyeniye, Moscow, 1988.
12. 12. ZIENKIEWICZ, O. and MORGAN, K., Finite Elements and Approximation. Wiley, New York, 1983.