Design Approach for Minimizing Sound Power from Vibrating Shell Structures

A design approach for minimizing sound power radiation from vibrating thin shell structures is presented. The method couples finite element analysis for determining structural modes and vibrations with a boundary element/wave superposition code for determining sound power radiation. Noise reduction is accomplished herein by optimal placement and sizing of small point masses on the structure. These masses alter the critical mode shapes so as to reduce sound power. The simulated annealing technique is used to determine the location and/or magnitude of the point masses. A computer program has been developed for design. Design examples are presented with the use of the computer program.

[1]  Mikael Jonsson,et al.  Optimization of acoustic response , 1999 .

[2]  M G Milsted,et al.  A Numerical Method for Noise Optimization of Engine Structures , 1993 .

[3]  S. Elliott,et al.  Power output minimization and power absorption in the active control of sound , 1991 .

[4]  S. J. Salon,et al.  Introduction to Finite Elements , 1995 .

[5]  Sandro Ridella,et al.  Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithmCorrigenda for this article is available here , 1987, TOMS.

[6]  Robert J. Bernhard,et al.  A finite element method for synthesis of acoustical shapes , 1985 .

[7]  Stephen A. Hambric Structural-acoustic optimization of a point-excited, submerged cylindrical shell , 1992 .

[8]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

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

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

[11]  A. Belegundu,et al.  Material tailoring of structures to achieve a minimum radiation condition , 1992 .

[12]  Chinmoy Pal,et al.  Dynamic analysis of a coupled structural-acoustic problem: simultaneous multi-modal reduction of vehicle interior noise level by combined optimization , 1993 .

[13]  Stephen A. Hambric Sensitivity Calculations for Broad-Band Acoustic Radiated Noise Design Optimization Problems , 1996 .

[14]  J. Z. Zhu,et al.  The finite element method , 1977 .

[15]  A. Belegundu,et al.  Introduction to Finite Elements in Engineering , 1990 .

[16]  Philip A. Nelson,et al.  The minimum power output of free field point sources and the active control of sound , 1987 .

[17]  G. Koopmann,et al.  A Boundary Element Approach to Optimization of Active Noise Control Sources on Three-Dimensional Structures , 1991 .

[18]  Clifford Goodman,et al.  American Society of Mechanical Engineers , 1988 .

[19]  P. Nelson,et al.  The minimum power output of a pair of free field monopole sources , 1986 .

[20]  J. S. Lamancusa,et al.  Numerical optimization techniques for structural-acoustic design of rectangular panels , 1993 .

[21]  Jean-Claude Nédélec,et al.  A finite element method for the double-layer potential solutions of the Neumann exterior problem , 1980 .

[22]  G. Koopmann,et al.  GLOBAL OPTIMUM ACTIVE NOISE CONTROL : SURFACE AND FAR-FIELD EFFECTS , 1991 .

[23]  J. B. Fahnline,et al.  A lumped parameter model for the acoustic power output from a vibrating structure , 1996 .

[24]  J. Browell,et al.  Keeping noise in bounds , 1995 .