Sage Journals: Discover world-class research

Abstract

A theoretical analysis on Belleville spring with parabolically varying thickness is presented in this study. The analysis aims at modifying the thickness profile of radially tapered Belleville spring in order to increase the span of null slope zone in its stiffness curve, which is beneficial in some regulation processes. The expression for linearly varying thickness used by Rosa et al. is modified to incorporate a curvature factor and the corresponding load as well as stress equations are derived using the hypothesis of Almen-Laszlo. On the basis of this analysis, it is found that a spring with convex parabolic thickness profile serves better than an equally tapered spring with linear profile in regulation processes.

Keywords

Belleville spring disc spring tapering curvature stiffness null slope

Get full access to this article

View all access options for this article.

References

Cullman

R. D.

Handbook of engineering design, 1988 (Butterworth, London, UK).

Shigley

J. E.

Mechanical engineering design, 1987 (McGraw Hill, New York, NY).

Society of Automotive Engineers. Spring design manual, 1995 (Society of Automotive Engineers, Warrendale, PA).

Carfagni

A CAD program for the automated checkout and design of belleville springs. ASME, 2002, 124, 393–398.

Rosa

G. L.

Messina

Risitano

Tangential and radial stresses of variable thickness belleville spring. Conference on Shell structures, theory and applications, Gdansk-Jurats Poland, pp. 179–180.

Rosa

G. L.

Messina

Risitano

Stiffness of variable thickness Belleville springs. ASME J. Mech. Des., 2001, 123, 294–299.

Almen

J. O.

Laszlo

The uniform section disk spring. ASME, 1936, 58, 305.

Brecht

W. A.

Wahl

A. M.

The radially tapered disk spring. ASME, 1930, 51(1), 45.

Curti

Orlando

A new calculation of coned annular disk spring. Transation of the ASME Winter Annual Meeting held in Chicago (ASME New York, NY), II filo metallico-27 1, 1980, 47–52.

10.

Curti

Montanini

Theoretical, numerical and experimental analysis of conical disk spring. XXV AIAS Gallipoli, Lecce, September 1996, Vol. 1, p. 573.

11.

Gross

Calculation and design of metal springs, 1996, p. 95 (Chapman and Hall, London).

12.

Wahl

A. M.

Mechanical springs, 1963, (McGraw Hill, New York, NY).

13.

Love

A. E. H.

A treatise on the mathematical theory of elasticity, 3rd edition, p. 533 (Cambridge University Press, London).

14.

Timoshenko

Woinowsky-Krieger

Theory of plates and shells, 2nd edition International student edition, 1959 (McGraw Hill, New York, NY).

15.

Timoschenko

Strength of materials, 3rd edition vol 11, 1936, pp. 527–528 (McMillan).

Design and analysis of radially tapered disc springs with parabolically varying thickness

Abstract

Abstract

Keywords

Get full access to this article

References