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.

and
are both orthonormal, right‐handed, and equally scaled on their axes, it can be imagined that
is obtained by rotating
as indicated below.
into
is actually achieved by rotating the basis vector
of
into the basis vector
of
for all k ∈ {1, 2, 3}. That is,

and
are related to each other as follows according to the Rodrigues formula:
into
is observed in a third reference frame
. Then, the following matrix equation can be written in
in correspondence to Eq. (3.57).
is the rotation matrix that represents the rotation operator rot( a , b ) in
. In other words,
and
, Eq. (3.58)can also be written as shown below.
and
, Eq. (3.60)can be manipulated into
or

and
, Eq. (3.62)leads to the result that
