Numerical and experimental validation of a hybrid finite element-statistical energy analysis method.

The finite element (FE) and statistical energy analysis (SEA) methods have, respectively, high and low frequency limitations and there is therefore a broad class of "mid-frequency" vibro-acoustic problems that are not suited to either FE or SEA. A hybrid method combining FE and SEA was recently presented for predicting the steady-state response of vibro-acoustic systems with uncertain properties. The subsystems with long wavelength behavior are modeled deterministically with FE, while the subsystems with short wavelength behavior are modeled statistically with SEA. The method yields the ensemble average response of the system where the uncertainty is confined in the SEA subsystems. This paper briefly summarizes the theory behind the method and presents a number of detailed numerical and experimental validation examples for structure-borne noise transmission.

[1]  Vincent Cotoni,et al.  Response variance prediction in the statistical energy analysis of built-up systems. , 2004, The Journal of the Acoustical Society of America.

[2]  R. Langley,et al.  Elastic wave transmission through plate/beam junctions , 1990 .

[3]  Aimin Wang,et al.  A hybrid finite element formulation for a beam-plate system , 2006 .

[4]  Robert J. Bernhard,et al.  Measurement of the Statistical Variation of Structural-Acoustic Characteristics of Automotive Vehicles , 1993 .

[5]  B. Mace,et al.  Energy flow models from finite element analysis , 2000 .

[6]  R Cornish.  A novel approach to optimizing and stabilizing interior noise quality in vehicles , 2000 .

[7]  R S Langley,et al.  On the diffuse field reciprocity relationship and vibrational energy variance in a random subsystem at high frequencies. , 2007, The Journal of the Acoustical Society of America.

[8]  V. Jayachandran,et al.  A hybrid SEA/modal technique for modeling structural-acoustic interior noise in rotorcraft. , 2003, The Journal of the Acoustical Society of America.

[9]  R. Langley,et al.  Vibro-acoustic analysis of complex systems , 2005 .

[10]  Alexander K. Belyaev,et al.  Integral Theories of Random Vibration of Complex Structures , 1986 .

[11]  Christian Soize.  A model and numerical method in the medium frequency range for vibroacoustic predictions using the theory of structural fuzzy , 1992 .

[12]  R S Langley,et al.  The wave transmission coefficients and coupling loss factors of point connected structures. , 2003, The Journal of the Acoustical Society of America.

[13]  R. M. Grice,et al.  ANALYSIS OF THE FLEXURAL VIBRATION OF A THIN-PLATE BOX USING A COMBINATION OF FINITE ELEMENT ANALYSIS AND ANALYTICAL IMPEDANCES , 2002 .

[14]  R S Langley,et al.  On the reciprocity relationship between direct field radiation and diffuse reverberant loading. , 2005, The Journal of the Acoustical Society of America.

[15]  R. Langley,et al.  A hybrid method for the vibration analysis of complex structural-acoustic systems , 1999 .

[16]  Richard H. Lyon,et al.  EVALUATING THE DYNAMICAL RESPONSE VARIABLES , 1994 .

[17]  B. Mace,et al.  A mode-based approach for the mid-frequency vibration analysis of coupled long- and short-wavelength structures , 2006 .