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IssuesArchive of Issues2002-6pp.114-122

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Total articles in the database: 3639
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Yu. N. Nyashin, M. A. Osipenko and R. N. Rudakov, "On the theory of bending of a leaf spring," Mech. Solids. 37 (6), 114-122 (2002)
Year 2002 Volume 37 Number 6 Pages 114-122
Title On the theory of bending of a leaf spring
Author(s) Yu. N. Nyashin (Perm)
M. A. Osipenko (Perm)
R. N. Rudakov (Perm)
Abstract We consider weak joint bending of a set of thin beams (leaves) of rectangular cross-section. We assume that contact between the leaves occurs without friction and that the leaves can separate from one another. One end of each leaf is clamped and the other end is free. The leaves are of the same width, but their lengths differ (each upper leaf is shorter than the lower). The bottom leaf is subjected to a given load acting in the upward direction. This structure models a leaf spring.

The basic problem is to find the shape of the leaves deflected by the load. This problem can be reduced to finding the density of forces of interaction between the leaves. This problem is completely solved in the case of two leaves. In the case of arbitrarily many leaves, we consider a load represented by a force concentrated on the free end (of the bottom leaf) and obtain conditions ensuring that the concentrated load hypothesis is valid. This hypothesis claims that after the application of the said load, the interaction of each pair of neighboring leaves takes place only on the free edge of a shorter leaf. The cases in which these conditions hold or are violated are demonstrated by examples. It is shown that under these conditions one can construct an equistressed spring.
References
1.  I. G. Parkhilovskii, Car Suspension Leaf Springs [in Russian], Mashinostroenie, Moscow, 1978.
2.  M. D. Geil, M. Parnianpour, and N. Berme, "Significance of nonsagittal power terms in analysis of a dynamic elastic response prosthetic foot," Trans. ASME. J. Biomech. Eng., Vol. 121, No. 5, pp. 521-524, 1999.
3.  R. N. Rudakov, M. A. Osipenko, Y. I. Nyashin, Y. V. Kalashnikov, A. R. Podgaetz, "Optimization and investigation of the foot prothesis opearting characteristics," Russian Journal of Biomechanics, No. 1-2, pp. 1-11, 1997.
4.  Yu. N. Rabotnov, Mechanics of Solids [in Russian], Nauka, Moscow, 1988.
Received 6 April 2000
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