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.
.

can be expressed in terms of the initial vector
and the rotation parameters
and θ as explained below.
and
can be expressed as follows:

is the common projection of
and
on the axis of rotation. Note that
is not affected by the rotation operator
because
lies on the rotation axis. The vector
is related to
and
as expressed below.
, which is perpendicular to
and
, is obtained by the following cross product.
, Eq. (2.6)becomes
, which is coplanar with the vectors
and
, can be expressed as the following linear combination of
and
.
,
, and
are substituted, Eq. (2.8)becomes

