chapter  5
36 Pages

Duality in Cable Networks: Principles of Complementary Energy

We start the investigation on dual energy principles with the case of cable networks subjected to large deformation. The corresponding problem for minimizing the potential energy was studied in section 4.2.2, which is formulated as

(PE) : min ϕ,c

wˆicab(ci)− ∑ j∈ΓN

p j (ϕj − xj)

s. t. ci = ‖Biϕ‖ − li, i = 1, . . . ,m, ϕj = ϕj , j ∈ ΓD.