文本描述
2.1 Introduction
The stiffness of a part is defined as the
relationship between the load and the
deflection of a part. This Chapter will
discuss what modifications can be made
to a part in order to influence and
optimize stiffness. It will also give some
guidelines of how the stiffness of a part
can be calculated.
2.2 How to determine the stiffness
In general the stiffness of a part is
determined by its material and its
geometry.
2.2.1 Material
The most important material property
for stiffness is the stress/strain curve.
In general, the Young’s modulus, which
is determined from the stress/strain
curve, is the best parameter to be used
when comparing the stiffness of
materials. However, when the Young’s
modulus is used, the stress/strain curve
is assumed to be linear. Especially for
thermoplastics, the range in which the
stress/strain curve can be estimated with
a straight line is limited. For this reason,
when a stiffness calculation of a part is
made, it is necessary to check if the
occurring stresses and strains still allow
a linear approach. If this is not the case,
it is advised to use a secant modulus for
the stiffness calculation.
Consider n FIGURE 2. Suppose that the
stiffness of a part is calculated using the
Young’s modulus Y. Suppose that a
verification of the occurring stress
results in the value s. This value is
clearly out of the range in which a linear
approximation of the stress/strain curve
is justified. In this case it is better to
recalculate the stiffness of the part with
the secant modulus Y*.
Furthermore, it is important to consider
the temperature at which the load is
applied. For thermoplastics the stress/
strain curves are heavily dependent on
temperature. It is advised to consider
the stress/strain curve at the
temperature at which the load is applied
for the calculation of part stiffness.
Time also plays a role in the
determination of the stiffness of a part.
It can influence stiffness in one of two
ways:
(a) the material is loaded for a
long time,
(b)the material is loaded in cycles,
(c) the material is loaded during
a very short time.
The phenomena (a) and (b)are
typically known as creep and fatigue.
How these effects must be taken into
account can be found in Chapter 4
‘Design for behaviour over time’.
Phenomenon (c) is known as impact.
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