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.
Angular acceleration of an implied body or frame (in a general use)
Angular acceleration of
or
with respect to an implied frame
Angular acceleration of
or
with respect to
β kTwist angle of
with respect to
γ kCumulative twist angle of
with respect to
; γ k= β 1+ β 2+ … + β k
Modified gradient of a conical surface expressed in the link frame
δ ijKronecker Delta function of the indices i and j δ kConstant rotation angle of
with respect to
if
is prismatic ε ijkLevi‐Civita Epsilon function of the indices i , j , and k
Column matrix of the end‐effector velocity state in the task space
θ kJoint variable (angular displacement) of the revolute joint
θ kVariable rotation angle of
with respect to
if
is revolute λ DoF of the working or operational space of a mechanical system λ abGradient ratio between
and
;
μ Mobility (DoF) of a system in its working or operational space μ abRelative mobility (DoF) of
with respect to
; μ ba= μ ab
Column matrix of the end‐effector position in the task space
σ A general sign variable; σ = ± 1 σ k,
Sign variables that indicate multiple solutions σ ijkCross product sign variable defined for the indices i , j , and k
Effective orientation matrix of
;
End‐effector angular velocity influence coefficient due to
;
Angular velocity of an implied body or frame (in a general use)
Angular velocity of the end‐effector with respect to the base frame;
Column matrix representation of
in the base frame;
Angular velocity of
or
with respect to an implied frame
Angular velocity of
or
with respect to
Angular velocity of
with respect to the base frame: 
