Figure 1
The stiffest design problem description: t applied forces, u displacement, Ω the domain of the elasticity system, Γ 0 part of the boundary with Dirichlet condition, Γ 1 part of the boundary loaded by traction forces, and Γ v part of the boundary subjected to modification.
Figure 2
“Lazy zone” size and position – blue: the starting configuration, red: shifted position of the zone with the same size, yellow: shifted position and different size of the lazy zone.
Figure 3
The numerical example: scheme of the topology design problem with a nondesign area – L = 50 mm, P = 1,000 N.
Figure 4
The numerical example, solutions: a – solution for the “lazy zone” range 8.00 × 103–1.28 × 105 Pa (which corresponds to red curve shown in Figure 2), b – solution for the “lazy zone” range 2.45 × 104–8.45 × 104 Pa (which corresponds to yellow curve shown in Figure 2), solution for the “lazy zone” range 3.20 × 104–2.00 × 105 Pa (which corresponds to blue curve shown in Figure 2).
Figure 5
The numerical example, solutions: left – solution for the original “lazy zone” position and range (which corresponds to the blue curve in Figure 2), right – solution for the shifted “lazy zone” position and range (which corresponds to the red curve in Figure 2.).