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.


is defined as the k th component of
in
. It is obtained as
can be stacked as follows to form a column matrix
, which is defined as the column matrix representation of the vector
in
.
may also be denoted as
. That is,
of
is represented by the following column matrix in
.
is the k th basic column matrix , which is defined as shown below for each k ∈ {1, 2, 3}.
is an entity that is not associated with any reference frame. This is because
represents
in its own frame
, whatever
is. In other words,
of the basic column matrices forms the primary basis of the space
of the 3 × 1 column matrices. In other words, any arbitrary column matrix
can be expressed as a linear combination of
,
, and
as shown below.
can also be expressed in terms of the basic column matrices
,
, and
by writing the following matrix version of Eq. (1.29)in
.

