Structural-acoustic optimization of stiffened panels based on a genetic algorithm

Abstract

For the structural-acoustic radiation optimization problem under external loading, acoustic radiation power was considered to be an objective function in the optimization method. The finite element method (FEM) and boundary element method (BEM) were adopted in numerical calculations, and structural response and the acoustic response were assumed to be de-coupled in the analysis. A genetic algorithm was used as the strategy in optimization. In order to build the relational expression of the pressure objective function and the power objective function, the enveloping surface model was used to evaluate pressure in the acoustic domain. By taking the stiffened panel structural-acoustic optimization problem as an example, the acoustic power and field pressure after optimized was compared. Optimization results prove that this method is reasonable and effective.

Keywords

structural-acoustic optimization / acoustic radiation power / finite element method / boundary element method / stiffened panel structure / genetic algorithm

References

[1] Wang S., Lee J. Acoustic design sensitivity analysis and optimization for reduced exterior noise[J]. AIAA Journal, 2001, 39(4): 574-581

[2] Wodtke H. W., Lamancusa J. S. Sound power minimization of circular plates through damping layer placement[J]. Journal of Sound and Vibration, 1998, 215(5): 1145-1163

[3] Loněarié J., Tsynkov S. V. Optimization of power in the problems of active control of sound[J]. Mathematics and Computers in Simulation, 2004, 65: 323-335

[4] Nielsen J. C. O. Acoustic optimization of railway sleepers[J]. Journal of Sound and Vibration, 2000, 231(3): 753-764

[5] Arenas J. P. Analysis of the acoustic radiation resistance matrix and its applications to vibro-acoustic problems[D]. 2001, Alabama: Auburn University

[6] Ghayour K. Continuous adjoint sensitivity analysis for aerodynamic and acoustic optimization[D]. 1999, Norfolk: Old Dominion University

[7] Marburg S. A general concept for design modification of shell meshes in structural-acoustic optimization-Part I: formulation of the concept[J]. Finite Elements in Analysis and Design, 2002, 38: 725-735

[8] Marburg S., Hardtke H. J. A general concept for design modification of shell meshes in structural-acoustic optimization — Part II: Application to a floor panel in sedan interior noise problems[J]. Finite Elements in Analysis and Design, 2002, 38: 737-754

[9] Duhamel D. Shape optimization of noise barriers using genetic algorithms[J]. Journal of Sound and Vibration, 2006, 297: 432-443

[10] Li Z., Liang Xinhua. Vibro-acoustic analysis and optimization of damping structure with response surface method[J]. Materials and Design, 2007, 28(7): 1999-2007

[11] Lee J., Wang S., Dike A. Topology optimization for the radiation and scattering of sound from thin-body using genetic algorithms[J]. Journal of Sound and Vibration, 2004, 276: 899-918

[12] Zhang J., Zhao W., Xie S., et al. Acoustic design optimization for coupled acoustic-structural systems[J]. Journal of Vibration Engineering, 2005, 18: 519-523

[13] Denli H., Sun J. Q. Structural-acoustic optimization of sandwich structures with cellular cores for minimum sound radiation[J]. Journal of Sound and Vibration, 2007, 301: 93-105