International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 09 | Sep 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1834
REVIEW PAPER ON BELLEVILLE SPRING THROUGH NUMERICAL AND
SIMULATION APPROACH
Ritika Bhamore
1
, Purushottam Kumar Sahu
2
1
Research Scholar BM College of Technology, Indore
2
Associate Professor BM College of Technology, Indore
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Abstract - In present work an standard Belleville spring is
considered for numerical analysis of force with respect to its
maximum displacement of twice that of its height the results
obtained are quite satisfying the one which are proposed by
Almen J O [1] in 1936 and is modelled in CATIA v5r12
software and then further analysed in ANSYS 14.0
simulation software. For proper analysis the displacement is
provided to the upper edge of the spring and rest all
directions for that edge are fully constrained. The base
edges are also provided with fully constrained motion in
vertical direction but having free boundary condition in rest
of the directions. The results in form of reaction force are
then obtained through ANSYS solver.
For validation 4 different cases of different height to
thickness ratio are considered which are h/t=0.4, h/t=0.7,
h/t=1.4, h/t-2.83 respectively. It is then concluded that FEA
results are in good agreement with the numerically
obtained data and can be considered for this kind of
application in future too. Different graphs representing
load-deflection curves are drawn and percentage deviation
of FEA results with respect to numerical results are studied
and summarized in conclusion.
Keywords— Belleville Spring, FEA, CATIA, ANSYS, Load
deflection curves, h/t ratio.
INTRODUCTION
A. Definition
The Belleville spring, or disk spring, is a truncated
shallow conical shell of uniform thickness. It may Be.
Simpler to think of it as an annular plate that has been
dished s1ighy into the shape of a cone. Such a spring is
shown in Figure 1.1
Figure 1.1: Belleville spring
The Belleville spring is usually loaded only at its edges by
circumferentially uniform loads, axial in direction and
with a sense such that they tend to reduce the cone angle.
In most cases the edges are completely free to move.
However, certain applications require that either the outer
edge be restrained from radial expansion, as would be the
case if the spring were inserted in a cylinder, or that the
inner edge be restrained from radial contraction, as would
be the case if a shaft were inserted through the spring.
Some applications may require that both of these
restrictions be imposed.
B. Characteristics of Belleville Springs
The simplest type of spring, a prismatic tension specimen,
exhibits a characteristic which is typical of structural
members in the elastic range: a linear load deflection
curve. Accordingly, the helical spring, the volute spring,
the ring spring, and most common springs have a straight
relationship between load and deflection. On the other
hand, Belleville spring usual1y have a nonlinear
relationship between load and deflection, and it is
possible to design Belleville springs with many differently
shaped load deflection curves. By varying the
fundamental parameters, it is possible to obtain positive,
zero, and even negative spring rates in given portions of
the load deflection curve.
Most authorities report that the most important
parameter in varying the shape of the load -deflection
curve is the ratio of the free cone height, d, to the shell
thickness, h. For values of d/h near 2.0, a curve such as
that labeled "A" in "Fig. 2 will occur.
Figure 1.2 Force deflection curve of Belleville spring
This curve demonstrates the characteristic which is a
result of instability of the cone as the cone angle is