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外文翻译--具有2或3个自由度的对应机械手.pdf
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外文翻译--具有2或3个自由度的对应机械手.pdf外文翻译--具有2或3个自由度的对应机械手.pdf外文翻译--具有2或3个自由度的对应机械手.pdf外文翻译--具有2或3个自由度的对应机械手.pdf外文翻译--具有2或3个自由度的对应机械手.pdf外文翻译--具有2或3个自由度的对应机械手.pdf外文翻译--具有2或3个自由度的对应机械手.pdf外文翻译--具有2或3个自由度的对应机械手.pdf外文翻译--具有2或3个自由度的对应机械手.pdf
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Parallel Mechanisms with Two or Three Degrees of
Freedom
Christiaan J.J. Paredis, H. Benjamin Brown, Pradeep K. Khosla
Abstract
: Parallel manipulators for the machine tool Industry have been studied
extensively for various industrial applications. However, limited useful workspace areas, the poor
mobility, and design difficulties of more complex parallel manipulators have led to mare interest
in parallel manipulators with less than six degrees of freedom (DoFs). Several parallel
mechanisms with various numbers and types of degrees of freedom are described in this paper,
which can be used in parallel kinematics machines, motion simulators, and industrial robots.
Key words
: parallel manipulator; parallel kinematic machine; degree of freedom; robot
Introduction
Mechanical systems that allow a rigid body to move with respect to a fixed base
play a very important role in numerous applications. A rigid body can move in various
translational or rotational directions which are called degrees of freedom (DoFs). The
total number of degrees of freedom for a rigid body cannot exceed six, for example,
three axes, A robot includes a system to control several degrees of freedom of an
end – effector.
The last few years have witnessed important developments in the use of industrial
robots, mainly due to their flexibility. However, the mechanical architecture of the
most common robots is not well adapted to certain tasks. Other types of architectures
have, therefore, recently been developed for industrial use, including parallel
manipulators.
A parallel manipulator, which is a closed-loop mechanism, typically consists of a
moving platform that is connected to a fixed base by several limbs or legs. Typically,
the number of limbs is equal to the number of degrees of freedom such that every
limb is controlled by one actuator and all the actuators can be mounted at or near the
fixed base. For this reason, parallel manipulators. Because the external load can be
shared by the actuators, parallel manipulators tend to have a large load-carrying
capacity. Parallel manipulators are always presented as having very good performance
in terms of accuracy, rigidity and the ability to manipulate large loads. They have
been used in a large number of applications ranging from astronomy to flight
simulators, and are becoming increasingly popular in the machine-tool industry,
The conceptual design of parallel manipulators can be dated back to 1947, when
Gough established the basic principles of a mechanism with a closed-loop kinematic
structure to control the position and orientation of a moving platform to test tire wear
and damage. He built a prototype in 1955 (Fig, 1a) where the moving element was a
hexagonal platform whose vertices were all connected to links by ball-and-socket
joints. The other end of the link was attached to the base by a universal joint. Six
linear actuators modified the total link length. Stewart designed a platform
manipulator as an aircraft simulator in 1965 (Fig, 1b), in which the moving element
was a triangular platform whose vertices were all connected by ball-and-socket joints
to support mechanisms each constituting of two jacks, also placed in a triangle. In
1978, Hunt made a systematic study of kinematic structure of parallel manipulators,
with the planar three-RPS parallel manipulator as typical example. Since then, parallel
manipulators have been studied extensively by numerous researchers.
Most of the six-DoFs parallel manipulators studied to date have included six extendible limbs.
These parallel manipulators possess the advantages of high stiffness, low inertia, and large
payload capacity. However, they suffer the problems of relatively small useful workspace and
design difficulties. Furthermore, their direct kinematics is very difficult to analyze. Therefore,
parallel manipulators with less than six-DoFs have increasingly attracted attention for industry
applications.
This paper introduces parallel manipulators and the classification of parallel manipulators.
Three types of new parallel manipulators are introduced: a spatial three-DoFs parallel manipulator,
a two- DoFs parallel manipulator, and a planar three- DoFs serial-parallel manipulator.
1 Definition of parallel Manipulator
A parallel manipulator is made of an end-effector with n degrees of freedom with a fixed base
linked together by at least two independent kinematic linkages. Actuation takes place through
n-simple actuators.
These mechanisms have the following characteristics.
· At least two linkages support the end-,effector. Each of those linkages contains at least one
simple actuator.
· The number of actuators is the same as the number of degrees of freedom of the end-effecto.
·The mobility of the manipulator is zero when the actuators are locked.
Parallel mechanisms are of interest for the following reasons:
·The load can be distributed on the multiple linkages.
·Few actuators are needed.
·When the actuators are locked, the manipulator remains in position, which is an important
safety concern for certain applications.
Parallel manipulators for which the number of linkages is strictly equal to the number of
degrees of freedom of the end-effector are called fully parallel manipulators.
2 Degrees of Freedom of a Mechanism
The degrees of freedom of a mechanism are the number of independent parameters or inputs
needed to completely specify the configuration of the mechanism. However, a general mobility
criterion cannot be easily defined for closed-loop kinematic linkages,as Hunt and Lerbet already
noted. Classical mobility formulae can indeed neglect some degrees of freedom. Grubler's
formulae is nevertheless generally used, which may be written as
M=d(n-g-1)+
fi
(1)
n1
g
where M is system mobility (degrees of freedom);
d is screw system order (d=3 for planar and spherical motion, d=6 for spatial motion); n is
number of links including the frame; g is number of joints; and 关 are degrees of freedom
associated with the i-th joint.
3 Classification of Parallel Manipulators
The total number of degrees of freedom of a rigid body cannot exceed 6; therefore,the number
of DoFs of a parallel manipulator will be between 2 and 6. Since the first parallel mechanism
design, many mechanical designs have been proposed for parallel manipulators with 2 to 6 DoFs.
A survey of 87 actuators proposed in the literature showed that 40% has six DoFs, 3.5% five DoFs,
6% four DoFs,40%three DoFs,and the remaining two DoFs.
3. 1 Two-DoFs parallel manipulators
Most existing two-DoFs parallel manipulators are planar manipulators with two-translational
DoFs. Such designs use only prismatic and revolute joints. McCloy showed that there are 20
different combinations. This number is reduced to 6 as shown in Fig. 2 if the actuators are
assumed to be attached to the ground. There is no passive prismatic joint and no actuator is
supporting the weight of another actuator.
3. 2 Three-DoFs parallel manipulators
There are many three-I?oFs parallel manipulators, so only the classical designs will be
presented here. One example is the planar three-RRR (R stands for revolving joint) parallel
manipulator as shown in Fig. 3a. The moving platform has three planar DoFs,which are two
translations along the x and y axes and one rotation around the axis perpendicular to
the O-xy plane. Another example is the spherical three-RRR parallel manipulator as shown in Fig.
3b,in which all the joint axes intersect at a common vertex. The motion of any point in the
mechanism is rotation about the vertex. The moving platform has only rotational DoFs with
respect to the base. Hunt presented the three-RPS parallel manipulator shown in Fig. 3c, which has
complex DoFs,which cannot be strictly defined. The most famous robot with three translations is
the DELTA (Fig.3d),proposed by Clavel and marketed by the Demaurex Company and ABB
under the name IRB 340 FpexPicker. DELTA has been widely used in industry. Another type of
three-DoFs parallel manipulator has the moving platform connected to the base through four legs,
where the fourth leg is passive and is also the leading leg,which means that the leg determines the
motion of the moving platform, for example,in the spherical coordinate parallel manipulator
shown in Fig. 3e.This parallel manipulator is used for the machine tool design by IFW of the
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