Stochastic optimization of acoustic response – a numerical and experimental comparison

Abstract.The objective of the work presented is to compare results from numerical optimization with experimental data and to highlight and discuss the differences between two fundamentally different optimization methods. The problem domain is minimization of acoustic emission and the structure used in the work is a closed cylinder with forced vibration of one end. The optimization method used in this paper is simulated annealing (SA), a stochastic method. The results are compared with those from a gradient-based method used on the same structure in an earlier paper (see Tinnsten 2000).

[1]  Björn Esping,et al.  Design optimization as an engineering tool , 1995 .

[2]  Mats Tinnsten Numerical prediction of acoustic pressure and intensity , 1994 .

[3]  Søren Tørholm Christensen,et al.  On analysis and optimization in structural acoustics — Part I: Problem formulation and solution techniques , 1998 .

[4]  K. Svanberg The method of moving asymptotes—a new method for structural optimization , 1987 .

[5]  John S. Lamancusa,et al.  Design optimization methods for rectangular panels with minimal sound radiation , 1994 .

[6]  K. Svanberg,et al.  The Method of Moving Asymptotes (MMA) with Some Extensions , 1993 .

[7]  William L. Goffe,et al.  SIMANN: FORTRAN module to perform Global Optimization of Statistical Functions with Simulated Annealing , 1992 .

[8]  Niels Olhoff,et al.  On analysis and optimization in structural acoustics — Part II: Exemplifications for axisymmetric structures , 1998 .

[9]  Mikael Jonsson,et al.  Acoustic optimization of plate vibration : a numerical example , 1999 .

[10]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[11]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[12]  Gary H. Koopmann,et al.  A Design Method for Minimizing the Sound Power Radiated from Plates by Adding Optimally Sized, Discrete Masses , 1995 .

[13]  A. D. Belegundu,et al.  A general optimization strategy for sound power minimization , 1994 .

[14]  Eric Constans,et al.  Design Approach for Minimizing Sound Power from Vibrating Shell Structures , 1998 .

[15]  M. Tinnsten Optimization of acoustic response — a numerical and experimental comparison , 2000 .