Abstract
A development for computing the acoustic pressure spectral density and its sensitivity of coupled structural–acoustic systems subjected to stochastic excitation is presented. Previous work in the area of structural–acoustic response considered systems subject to deterministic excitations. The response computation depends on the excitation; therefore, new methods are developed to account for stochastic excitation. The structural–acoustic response is calculated using finite element methods and stochastic analysis techniques. An accurate and highly efficient algorithm series for structural stationary random response analysis, pseudo excitation method (PEM) is used. Numerical examples are given to demonstrate the effectiveness of the methods and the program.
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Allen MJ, Sbragio R, Vlahopoulos N (2001) Structural/acoustic sensitivity analysis of a structure subjected to stochastic excitation. AIAA J 39:1270–1279
Chen G, Zhao GZ, Gu YX (2007) Sensitivity analysis and design optimization method for acoustic–structural coupled systems. J Vib Shock 26(4):86–89 (in Chinese)
Clough RW, Penzien J (1994) Dynamics of structures, 2nd edn. McGraw-Hill, New York
Craggs A (1971) The transient response of a coupled plate–acoustic system using plate and acoustic finite elements. J Sound Vib 15:509–528
Dai XJ (2007) PEM based random vibration analysis of composite structures and its applications in aero/astro-nautical engineering. Ph.D. thesis, Dalian University of Technology (in Chinese)
Gladwell GML, Zimmermann G (1966) On energy and complementary energy formulations of acoustic and structural vibration problems. J Sound Vib 3:233–241
Goswami P, Rizzo FJ, Shippy DJ (1987) Acoustic scattering by elastic solids using the boundary element method. Rev Quant Nondestruct Eval 7:95–102
Hambric SA (1996) Sensitivity calculations for broad-band acoustic radiated noise design optimization problems. J Vib Acoust 118(3):529–532
Lin JH (1992) A fast CQC algorithm of PSD matrices for random seismic responses. Comput Struct 44:683–687
Lin JH, Zhang WS, Li JJ (1994) Structural responses to arbitrarily coherent stationary random excitations. Comput Struct 50:629–633
Lin JH, Zhao Y, Zhang YH (2001) Accurate and highly efficient algorithms for structural stationary/non-stationary random responses. Comput Methods Appl Mech Eng 191:103–111
Ma ZD, Hagiwara I (1991b) Sensitivity analysis methods for coupled acoustic–structural systems part I: modal sensitivities. AIAA J 29:1787–1795
Ma ZD, Hagiwara I (1991b) Sensitivity analysis methods for coupled acoustic–structural systems part II: direct frequency response and its sensitivities. AIAA J 29:1796–1801
Nefske DJ, Wolf Jr JA, Howell LJ (1982) Structural–acoustic finite element analysis of the automobile passenger compartment: a review of current practice. J Sound Vib 80:247–266
Smith DC, Bernhard RJ (1992) Computation of acoustic shape design sensitivity using a boundary element method. J Vib Acoust 114(1):127–132
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Chen, G., Zhao, G. & Chen, B. Sensitivity analysis of coupled structural–acoustic systems subjected to stochastic excitation. Struct Multidisc Optim 39, 105–113 (2009). https://doi.org/10.1007/s00158-008-0320-x
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DOI: https://doi.org/10.1007/s00158-008-0320-x