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.

into
can also be achieved directly in one step. That is,
.


is obtained as the following multiplicative combination of the intermediate rotation matrices
and
.
and
can be denoted by two alternative but equivalent symbols, which are shown below.
and
are mathematically equivalent, their verbal descriptions are not the same.
is called a rotation matrix that describes the rotation of
into
, whereas
is called an orientation matrix that describes the relative orientation of
with respect to
.


is rotated into another vector
. This operation is expressed by the following equation as observed in a reference frame
.



is defined to be orthonormal if its inverse is equal to its transpose, i.e. if
. Therefore, according to Eq. (2.49),
is an orthonormal matrix.