1 Machine Tools for Removal Processes: A General View 19
• Grey cast iron is the most common material due to its stability, easy casting,
high damping ratio, self lubricity and economy in machining. Ductile cast iron
can be an option to increase the stiffness of some components. Cast steel is
used in headstocks.
• Welded frames are used in large machines due to the usual casting problems of
large components or when a very short production time is required. The main
disadvantage is the lack of damping. Some solutions use fillings, like sand or
polymers, to improve damping and attenuate vibrations. Other problems are de-
rived from the residual stresses and distortions typical of welding and the non-
homogeneous behaviour of the weld seams.
• Polymer concrete, also known as “mineral casting”, has been the subject of
several research projects in recent years. Now it is used in some lathe or milling
machine beds. The positive feature is its high damping, but its main drawback
is the low thermal conductivity. In some cases this material can reinforce the
cast iron, for example in the lathe series Quest by Hardinge
®
Inc. (Harcrete™
material). Another brand is Polycrete™ by Cleveland Polymer
®
, a material for-
mulated by combining quartz aggregate, a high bonding-strength epoxy resin
system and selective additives.
• Granite is used by some manufacturers of special lathes, grinders and other
high accurate finishing machines, for example for glass turning and polishing.
1.4.3 Structural Analysis
The analysis present three stages, resistance analysis of the structure withstanding
static forces, analysis of natural frequencies and modes, and finally dynamic
analysis of the machine with respect to the cutting process.
Structural behaviour under static or inertial loads is currently carried out with
the Finite element method (see Sect. 2.3.2). Although cutting forces are variable,
both in modulus and direction, the maximum values can be considered inputs for
the 3D model. The structure equivalent tensions and deformations are mapped as
a result of the analysis (Fig. 1.11), which can be used to redesign the structural
components. Currently, even the simplest software packages are able to perform
a good calculus. In FEM, the most difficult aspect to define is related to contacts
between structural components along the DOF, where stiffness, damping, backlash
and other construction details are difficult to estimate.
Typical machine stiffness values, measured like the displacement of the spindle
nose with regard to the machine bed due to force action, are as follows. For a vertical
machining centre, stiffness values of approx. 62
N/μm in X, 33
N/μm in Y and
67
N/μm in Z are calculated in [7]. In another case, a travelling column milling ma-
chine [20], the experimental stiffness is 16
N/μm in the X-axis, 40
N/μm in the Y-axis
and 93.7
N/μm in the Z axis. Other values for 3-axis machines range between
15–25
N/μm in the axes X and Y and 70–100
N/μm in the Z axis, Z always being the
stiffest in milling machines. With respect to grinders, external cylindrical ones are in