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.
or
, Eq. (3.62)implies the inequality that
and
can be expressed as a rotation matrix if that rotation matrix represents the rotation operator rot( a , b ) in either
or
but not in a third different reference frame
.
and
.

and
are the rotation matrices that represent the same rotation operator
in
and
, respectively. That is,

and
, their matrix representations are related to each other as follows by the transformation matrix
:


and
are related to each other as follows by using both
and
:
is rotated into another reference frame
through several successive rotations as described below.

can be related to the rotation operators that appear in Description (3.75)through two different commonly used formulations depending on the reference frames in which the rotation operators are expressed. These two formulations are explained below.