Structural synthesis of vertical machining centers.
Constantin, George ; Ghionea, Adrian Lucian ; Predincea, Nicolae 等
1. INTRODUCTION
Modern machine tools, especially those integrated in flexible
machining cells and flexible machining systems and some of those
included in the group of specialized machine tool, are of machining
center type. They have specific systems such as tool magazine and
automatic tool changer (Perovic, 2006). The system (ATC) has 5 possible
configurations depending on machine tool type and destination, kinematic structure and mechanism construction, kinematic chains, driving and
control, layout on one or more structure elements, position of the main
spindle, capacity and tool magazine type, possibility of modularization
(Altintas & Erol, 1998), tool change necessity, running under
precision conditions, good reliability and static and dynamic behavior.
The use of ATC is extended through their modularization (Ghionea et al.,
2008).
The cycles of tool changing are composed of simple motions:
revolution and prismatic. Their succession is mainly determined by the
position of tool axis in magazine and main spindle axis, distance
between magazine and main spindle, position of ATC system joints.
2. STAGES OF STRUCTURAL GENERATION
Depending on the ATC type, machine tool structure, and position of
the ATC components in regard with machine tool elements, all structural
configurations of the machining center can be generated.
Among the motion characteristics one can emphasize that the
relative motion of the table with respect to the spindle head is done
along the three axes (X, Y, Z) generating the working volume (Bohez,
2002). The axes of the spindle and tool magazine can be either parallel
or perpendicular. The transfer arm Ta and tool change Tc can have many
structural and kinematic variants. The parking station Ps achieves
rotary or linear motions for translating or orienting the tool axis.
The following stages for structural configuration of open
structures can be considered:
* Choosing an existing machining center and analyzing the structure
and motion characteristics.
* Tree-graph representation of the machining center structure.
* Generalization of machine into a generalized tree-graph.
* Synthesis of all possible tree-graphs with given numbers of
vertices (structure elements) and edges (joints).
* Applying topological constraints to all tree-graphs and choosing
the workable ones.
* Obtaining the atlas (all structural configurations) of machining
center allocating the axes and applying certain motion constraints.
More details of the stages a, b, ..., f and theoretical support are
given in (Fu-Chen & Homg-Sen, 1999).
3. CONFIGURATION OF VERTICAL MACHINING CENTERS
Regarding this type of machining center, from the point of view of
machine tool, we take in consideration the form and topology of
structural elements, main spindle axis position (vertical), numerical
controlled axes, structure element sizes, working space (size and
position). Regarding the ATC, we consider the form, position and
capacity of tool magazine, position and movements of tool transfer arm
and too change arm (for the variants including them). The parking
station characteristics have to be taken in consideration for machining
center types including it (not the studied case).
The block schemes of the machines and their component motions are
shown in Fig. 1. Taking in consideration the machine tool axes,
structure components and their motions the vertical machining center can
be described through representing the links and joints by vertices and
edges (Fu-Chen & HomgSen, 1999). According to this representation
the structural elements of the machine are vertices with the names given
in Fig. 1 (S, T, Fr, etc.), and joints are represented by edges named
Revolution (R), Prismatic (P), Cylindrical (C), Bend (B) that have a
subscript corresponding to the motion axis. In Fig. 2,a,b the
tree-graphs corresponding to the machining centers shown in Fig. 1 are
presented.
There is a large variety of structural configurations given by the
feasible combinations between machine tool and ATC. The comprehension of
all possibilities first imposes a generalization of the machine tool
type from the point of view of three-graph representation, starting from
the particular three-graphs (Fig. 2). The principles and rules of
generalization are shown in detail by Yang and Hwang mentioned in
(Fu-Chen & Homg-Sen, 1999). Thus, in Fig. 2,c,d the generalized
graphs of the particular graphs in Fig, 2,a,b are shown. A generalized
tree-graph is characterized by the number of vertices N and number of
edges J = N - 1 valid for open structures as in case of machine tools in
classical configuration. On the basis of the generalized tree-graph all
feasible graphs are generated.
[FIGURE 1 OMITTED]
[FIGURE 2 OMITTED]
The selection of variants with practical application is based on
topological constrains that are design requirements specific to the
considered machine tool type. For a vertical machining center with three
axes the following requirements have to be taken in consideration:
* For an ATC having a structure including only a Tc the treegraph
has 7 vertices, for a structure with Tc and Ta or Tc and Ps it has 8
vertices, for a structure with Tc, Ta, and Ps it has 9 vertices.
* A vertex is allocated to spindle S, the edge incident to S being
a revolution couple.
* A vertex is allocated to the table T and has to be at a distance
of 4 edges from S.
* A vertex is allocated to the frame Fr which is fixed.
* A vertex represents the tool magazine M associated to spindle S
due to the tool transfer between them.
* Ta is connected through 1 or 3 edges (the vertices G1 and G2 have
to be implemented).
* Tc is connected through 1, 3 (G1 and G2 vertices) or 5 (G1 ... G4
vertices) edges.
The components G1 ... G4 define the tool gripping mechanism
belonging to Ta and/or Tc. The notations on each tree-graph are made on
each vertex and edge so that the specialized variants are obtained.
The rules of assignment of links and joints are taken in
consideration. For example, S, M, Ta, and Ps are pendant vertices; if M
is of disc or chain conveyor type the edge is a revolution couple R; the
table T is connected to the frame Fr through two prismatic couples P.
The last stage of the synthesis is the assignment of axes and
direction to the joints on the selected specialized tree-graphs. In this
stage, the motion constraints are applied (for example the revolution
axis of S is always Z; the axis of M is parallel or perpendicular to the
axis of S; the table T moves on X, Y, and Z relative to the spindle head
SH, etc.). From the 20 variants of tree-graphs having associated
possible block schemes from the practical point of view, three of them
are presented in Fig. 3. The first 3 variants correspond to the
structure with 7 vertices, the rest of 17 corresponding to the structure
with 8 vertices.
The analysis of the 20 variants considering constructive,
technical, and economic criteria leads to the selection of that variant
which passes in the stage of machine tool design.
[FIGURE 3 OMITTED]
4. CONCLUSIONS
The paper presents the application of the tree-graph method of
structural configuration generation in vertical machining centers
starting from the study of the ATC types and their association with
existing machine tools. For a vertical machining center with three axes,
3 structural configurations for system with 7 vertices, and 17
structural configurations for 8 vertices were derived. The method can be
used in the synthesis of other types of machine tools, industrial robots
applications, and can be integrated in the approach of machine tool
reconfiguration. This method is being used in the optimization of
modular machine tool structures in the frame of a national grant. A set
of criteria and restrictions for different types of machine structures
will be developed.
5. REFERENCES
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