Optimization

Michell Truss Shape Optimization vs. Analytical Solution

Michell truss is composed of tensile members and compressive members, intersecting at right angles each other.

Uniform stress distribution can be obtained by optimizing the cross
section of each member.

Optimization Specification :
(1) Design Variable (Bar Element Area)
External Members : Initial / 130(mm2)
Upper bound /135(mm2) Lower bound 127(mm2)

Internal Members : Initial / 50(mm2)
Upper bound / 58(mm2) Lower bound 9(mm2)

(2) Objective Function : Mass Minimization

(3) Constraints (Axial Stress / Max. Principal Stress)
Upper bound /10(N/mm2) Lower bound -1(N/mm2)Min