 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 37, Issue 6 / 2002 | Next article >> |
| 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 |
06 April 2000 |
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