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.










, then σ = − 1 leads to
, where
and
are two independent sign variables, that is,
and
but they are not necessarily equal. Although
and
look different, they are actually completely equivalent because they both provide the same transformation matrix as shown below by using the rotation matrix formulas given in Chapter 2.

with
. In either case, φ 1and φ 3become indefinite and indistinguishable. So, they cannot be found separately. Nevertheless, their combinations denoted as φ 13= φ 1+ φ 3and
can still be found depending on whether φ 2= 0 or
. The way of finding them is explained below.


, Eq. (3.113)can be manipulated as follows:

