Contribution of gear body to tooth deflections - A new bidimensional analytical formula

Journal of Mechanical Design

Volumn 126, Issue 4, 2004, Pages 748-752

  Sainsot, P ^a   Velex, P ^a   Duverger, O ^b  

^a UNIVERSITÉ DE LYON   (France)

^b CETIM   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CURVE FITTING; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; POLYNOMIALS; RINGS (COMPONENTS); SHEAR STRESS; SPUR GEARS; STRESS CONCENTRATION;

ELASTIC RINGS; MUSKHELISHVILI THEORY; TOOTH DEFLECTIONS; WEBER EQUATION;

GEAR TEETH;

EID: 4344659635     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1758252     Document Type: Article

References (10)

1. Weber, C., 1949, "The Deflection of Loaded Gears and the Effects on their Load Carrying Capacity," Dept. of Scientific and Industrial Research, Sponsored Research, Germany, Report no 3.
2. Weber, C., and Banaschek, K., 1953, "Formänderung und Profilrücknahme bei Gerad-und Schrägverzahnten Antriebstechnik," Heft 11, F. Vieweg und Sohn, Braunschweig, Germany.
3. O'Donnell, W. J., 1960, "The Additional Deflection of a Cantilever Due to the Elasticity of the Support," ASME J. Appl. Mech., 27, September, pp. 461-464.
4. O'Donnell, W. J., 1963, "Stresses and Deflections in Built-In Beams," ASME J. Eng. Ind., 85, August, pp. 265-273.
5. Attia, A. Y., 1964, "Deflection of Spur Gear Teeth Cut in Thin Rims," ASME J. Eng. Ind., 86, November, pp. 333-342.
6. Cornell, R. W., 1981, "Compliance and Stress Sensitivity of Spur Gear Teeth," ASME J. Mech. Des., 103, pp. 447-459.
7. Lundberg, G., 1939, "Elastische Berührung zweier Halbraüme," Forsch. Ing.-Wes., 10(5), pp. 201-211.
8. ISO/DIS 6336-1.2, 1990, "Calculation of Load Capacity of Spur and Helical Gears-Part I: Basic Principles and Influence Factors," Draft International Standard, pp. 87-95.
9. Muskhelishvili, N. L, 1975, Some Basic Problems of the Mathematical Theory of Elasticity, 2nd English Edition, P. Noordhoff Limited, The Netherlands, pp. 230-235.
10. Seager, D. L., 1967, "Some Elastic Effects in Helical Gear Teeth," PhD dissertation, University of Cambridge, pp. 180 183.