160 Index
motion sequence 30, 32, 44, 51, 56, 86, 119,
120, 121, 127
motion structure 1–3, 9, 18, 77, 94, 117,
129, 136–152, 153
planar motion structure, 2, 36
spatial motion structure 77, 117, 136
Myard, F. E. 21, 22, 156
Myard linkage 21–23, 33, 138, 145–148,
151, 154–156
extended Myard linkage, 22, 155
network, 78, 88, 92
octahedron 27, 152
odd number 48
offset 14, 16, 20, 131
open chain 62
output 7, 12
overconstrained condition 17
overconstrained linkage 17–33, 35, 62, 117,
151
pair 4
higher pair 4, 6
lower pair 4, 5
pantograph 37
parallelogram 17, 21, 42
pattern 136–138
Pellegrino, S. 33, 35, 52, 61, 64, 126, 130,
155–157
Phillips, J. 18, 21, 27, 31, 157
pivot 37
pivoting angle 38, 71, 65, 66, 69
planar 4R linkage 9, 17, 40, 140, 142
planar double chain linkage 36–61
planar motion 8
plane of motion 8
plane of symmetry 21, 52
plane symmetry 22, 129, 132
position 10
Preiswerk, P. R. 102, 155
quaternion 10, 12
rank 34, 35
rectilinear motion 18
redundant member 33
relative motion 4
Reuleaux, F. 4, 157
revolute variable 14, 20, 117
rigid body 2
Roth, B. 25, 156
Rossi, F. 136, 157
Sánchez-Cuenca 62, 157
Sanchez, J. 62, 155
Sarrus, P. T. 18, 24, 62, 157
Sarrus linkage 18, 24, 33, 62, 63, 75
Savage, M. 19, 157
Schattschneider, D. 31, 157
Schatz linkage 18, 31, 33, 156
scissor-like element 36–41
angulated scissor-like element 37–41
conventional scissor-like element 37–40
screw theory 10
screw system 26
shelter 1, 62, 85, 112
Shephard, G. C. 136, 137, 151, 156
single-loop linkage 25, 118
six-bar mechanism 18
slider-crank linkage 9
spatial ring 64
spherical 4R linkage 21, 24, 134
spiral 83
square prism, 112, 114
states of self-stress 35
statically determinate 34, 35
statically indeterminate 35
structure 1, 5, 17, 33–35
subtraction 21, 24
summation 21
supports 52
symmetry 40, 52, 95, 98, 104, 117, 126, 137
threefold rotational symmetry 117
two-fold symmetry 40, 132, 135
syncopated linkage 21–27
Tarnai, T. 35, 155–157
tessellation 18, 77, 136, 151
tetrahedra 31, 32
tetrahedron truss 7, 34
Tian, P. L. 112, 157
tiling 136–138
topology 7, 15, 35
transfer matrix 14–16
transformation 13, 14, 16
rotational transformation 14, 16
translation transformation 14, 16
translation vector 14, 16
trajectory 8, 15
trapezia 66
Turbula machine 18
twist 14, 16, 19–22, 77, 78, 80–82, 85,
88–92, 94, 106, 111, 118, 119, 124, 128,
129, 131, 132, 142, 143, 145, 149–151
Valcarcel, J. P. 62, 155
Varadarajan, V. S. 10, 157
vector equation 11, 43
vector method 11, 12, 48
velocity 10
Waldron, K. J. 19, 25, 26, 157
Waldron hybrid linkage 26, 33
Walker, W. 31, 157
Wohlhart, K. 24, 25, 48, 157
Wohlhart 6R linkage 31, 33
Wohlhart’s double-Goldberg linkage 24, 28,
33
You, Z. 22, 25, 29, 33, 78, 88, 94, 111, 112,
134, 143–145, 154–157
Yu, H. C. 40, 154
Zeigler, T. R. 62, 157
Zeigler’s dome 62