Case 1
Case 2
Case 3
Case 4
Case 1 (interior view)
Case 2 (interior view)
Case 3 (interior view)
Case 4 (interior view)
Multi-phase viscoelastic microstructures
3D multi-phase viscoelastic microstructures with tailored loss modulus obtained via inverse homogenization analysis.
Fractional topology optimization of periodic multi-material viscoelastic microstructures with tailored energy dissipation.
Problem description
The 3D models above are optimized multi-phase viscoelastic microstructures with prescribed loss moduli for a predefined range of frequencies. The topology optimization formulation aims to find the lightest microstructure that minimizes the sum of squared loss modulus residuals for a given set of target frequencies. Below is a figure that displays the homogenized viscoelastic response of each of the four unit cells shown above.