M. Kemal Ozgoren - Kinematics of General Spatial Mechanical Systems
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- Название:Kinematics of General Spatial Mechanical Systems
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Kinematics of General Spatial Mechanical Systems: краткое содержание, описание и аннотация
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This all-time beneficial book:
Provides an easy-to-use systematic formulation method that is applicable to all sorts of spatial machanisms and manipulators Introduces a symbolic manipulation method, which is effective and straightforward to use, so that kinematic relationships can be simplified by using all the special geometric features of the system Offers an accessible format that uses a systematic and easy-to-conceive notation which has proven successful Presents content written by an author who is a renowned expert in the field Includes an accompanying website Written for academicians, students, engineers, computer scientists and any other people working in the area of spatial mechanisms and manipulators,
provides a clear notation, formulation, and a logical approach to the topic and offers a fresh presentation of challenging material.


,
becomes
or oppositely if
. Therefore, only the resultant rotation by the angle
can be recognized but the angles φ 1and φ 3become obscure and they cannot be distinguished from each other.
and
. The reference frame
has a general (translating and rotating) displacement with respect to
. This general displacement is represented by the translation vector
and the rotation operator rot( a , b ), which functions to rotate
into
for k ∈ {1, 2, 3}. The position vectors of P appear as
and
respectively, in
and
. The components of
in
and
in
are the coordinates of P in
and
. In other words, the column matrices
and
consist of the coordinates of P in
and
. On the other hand, as explained in Section 3.5, the transformation matrix between
and
can be expressed in terms of the matrix representations of the rotation operator as
.

.
