VM-WB-MECH-102
VM-WB-MECH-102
Topology Design of 2-D Beam with Clamped Ends
Overview
| Reference: | Huang, X., Zuo, Z. H., & Xie, Y. M. (2010). Evolutionary topological optimization of vibrating continuum structures for natural frequencies. Computers & Structures, 62(88), 357-364. |
| Solver(s): |
Ansys Mechanical |
| Analysis Type(s): | Modal Analysis and Topology Optimization |
| Element Type(s): | Plane |
Test Case
A beam of dimension 2 cm x 14 cm x 1 cm is clamped on both ends and a concentrated mass is applied at the center. The design objective is to maximize the fundamental frequency of the solid-void structure with 50 percent material of the original beam.
| Material Properties | Geometric Properties | Loading | |||
|---|---|---|---|---|---|
| Bar dimensions: 2 x 14 x 1 cm | M = 1.4 x 10-5 Kg |
Analysis Assumptions and Modeling Notes
The problem is solved using 2-D plane stress four-node quadrilateral elements. Modal analysis is solved for the first six modes, and topology optimization is solved with the objective to maximize first fundamental frequency. A region in the center of the beam (the location of the point mass) is scoped to the named selection "Exclusion" to remove those elements from optimization. The convergence accuracy is 0.2 percent. The volume response constraint is 50 percent. The minimum member size is 0.15 cm.
