... (Courtesy of Toyoda Machine Works Ltd., Aichi-Pref., Japan.)
kinematic structures of parallel manipulators according to their nature of motion and
degrees of freedom.
9.2.3 Enumeration of Planar ... enumeration of the kinematic structures of paral-
lel manipulators. Note that we have limited ourselves to those manipulators with
the number of limbs equal to...
... rise to two different dual graphs.
Sohn and Freudenstein [4] applied the concept of dual graphs for the development of an
automated procedure for the enumeration of the kinematic structures of ... end vertices, it contributes 2 to the sum of
the degrees of the vertices. Therefore, the sum of the degrees of all vertices in a graph
is equal to twice the number of e...
... number of gear pairs is equal to the number of independent
loops; the number of turning pairs is equal to the number of links diminished by one;
and the number of degrees of freedom is equal to the ... corresponds to the carrier of a gear pair. Using these structural
characteristics, various methods of enumeration were presented. An atlas of EGTs
with one, two, and...
... Synthesis of Kinematic Structure
of Geared Kinematic Chains and other Mechanisms, Journal of Mechanisms,
5, 357–392.
[2] Chatterjee, G. and Tsai, L.W., 1994, Enumeration of Epicyclic-Type Automatic
Transmission ... Creation of Mechanisms According to
Kinematic Structure and Function, Journal of Environmental and Planning B,
6, 375–391.
[7] Freudenstein, F. and Yang, A...
... Symbol
Number of vertices
v
Number of links
n
Number of edges
e
Number of joints
j
Number of vertices of degree
iv
i
Number of links having
i
joints
n
i
Degree of vertex
id
i
Number of joints on ... Degrees of Freedom
The degrees of freedom of a mechanism is perhaps the first concern in the study of
kinematics and dynamics of mechanisms. The degrees of freedom of...
... we first identify the functional requirements. Then, we translate
some of the requirements into structural characteristics for the purpose of enumeration
of the kinematic structures. Lastly, we ... housing.
The torque converter has three purposes. First of all, it serves as a fluid coupling to
provide a smooth transmission of torque from the engine to the wheels. It also allo...
... Solving One Linear
Equation in n Unknowns.
FOR
I
1
= 0TO
q
1
x(1) = I
1
FOR
I
2
= 0TO
q
2
x(2) = I
2
FOR
I
3
= 0TO
q
3
x(3) = I
3
.
.
.
FOR
I
n−1
= 0TO
q
n−1
x(n − 1) = I
n−1
x(n) = (k − c(1) ∗ x(1) ... accomplished by a com-
puter program using a nested-do loops algorithm to vary the value of each x
i
and
check for the validity of the solutions. A more rigorous procedure for solvin...