14 Flocking Rules Governing Swarm Robot as Tool to Describe …
231
Fig. 14.6 X Evolution j = 115 versus time (modified rule with feedback) Reduced X range
Fig. 14.7 X Evolution of the point j = 67 versus time (modified rule with feedback)
with materials parameters Y = 1000 N/(m
2 ) and ν = 0.33, where Y is the Young’s
modulus, ν the Poisson coefficient; this value is close to that of a medium molecular
weight polypropylene (Avella et al. 1993, 1995, 1996). Boundary load is on the right
(Neumann condition) and no displacements on the left (Dirichlet conditions).
The equations to be solved are:
Y
2(1 + ν)
∇
2
u +
Y
2(1 − ν)
(
∂
∂ x
u +
∂
∂ y
v) = 0
231
Fig. 14.6 X Evolution j = 115 versus time (modified rule with feedback) Reduced X range
Fig. 14.7 X Evolution of the point j = 67 versus time (modified rule with feedback)
with materials parameters Y = 1000 N/(m
2 ) and ν = 0.33, where Y is the Young’s
modulus, ν the Poisson coefficient; this value is close to that of a medium molecular
weight polypropylene (Avella et al. 1993, 1995, 1996). Boundary load is on the right
(Neumann condition) and no displacements on the left (Dirichlet conditions).
The equations to be solved are:
Y
2(1 + ν)
∇
2
u +
Y
2(1 − ν)
(
∂
∂ x
u +
∂
∂ y
v) = 0