Abstract
The engineering approach of fully stressed design is a practical tool with a theoretical foundation. The analog approach to structural eigenfrequency optimization is presented here with its theoretical foundation. A numerical redesign procedure is proposed and illustrated with examples.For the ideal case, an optimality criterion is fulfilled if the design have the same sub-domain ”frequency” (local Rayleigh quotient). Sensitivity analysis shows an important relation between squared system eigenfrequency and squared local sub-domain frequency for a given eigenmode. Higher order eigenfrequencies may also be controlled in this manner.The presented examples are based on 2D finite element models with the use of subspace iteration for analysis and a recursive design procedure based on the derived optimality condition. The design that maximize a frequency depend on the total amount of available material and on a necessary interpolation as illustrated by different design cases.
Original language | English |
---|---|
Title of host publication | 11th International Conference on Vibration Problems |
Editors | Z. Dimitrovova |
Number of pages | 11 |
Publication date | 2013 |
Publication status | Published - 2013 |
Event | 11th International Conference on Vibration Problems - Lisbon, Portugal Duration: 9 Sept 2013 → 12 Sept 2013 Conference number: 11 |
Conference
Conference | 11th International Conference on Vibration Problems |
---|---|
Number | 11 |
Country/Territory | Portugal |
City | Lisbon |
Period | 09/09/2013 → 12/09/2013 |