The structure-borne power in bending waves is well understood, and has been studied by many investigators in ideal beam and plate structures. Most studies to date, however, have considered only the structural intensity induced by deterministic localized drives. Many structures of practical interest are excited by spatially random pressure fields, such as diffuse and turbulent boundary layer pressure fluctuations. Additionally, such studies typically employ finite differencing techniques to estimate the shear, bending, and twisting components of intensity, and are therefore only applicable to simple homogenous uniform structures such as thin plates and beams. Often, however, finite differencing techniques are not applicable to practical structures of interest. The present study introduces a new analytic method to compute the structural intensity induced by spatially random pressure fields in general structures, which does not require the use of finite differencing techniques. This method uses multiple-input multiple-output random analysis techniques, combining frequency response function matrices generated from analytic or finite element (FE) models with cross-spectral density matrices of spatially random pressure fields to compute intensities in structures. The results of this method are validated using those obtained using finite-difference-based techniques in a flat plate. Both methods show intensity patterns different from those caused by deterministic point drives. The new general method, combined with FE analysis techniques, may be applied in the future to complex nonhomogenous structures, which include discontinuities, curvature, anisotropic materials, and general three-dimensional features.
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e-mail: sah19@only.arl.psu.edu
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February 2009
Research Papers
A Method to Simulate Structural Intensity Fields in Plates and General Structures Induced by Spatially and Temporally Random Excitation Fields
Michael J. Daley,
e-mail: mdaley@akustica.com
Michael J. Daley
Akustica, Inc.
, 2835 East Carson Street, Suite 301, Pittsburgh, PA 15203
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Stephen A. Hambric
Stephen A. Hambric
Applied Research Laboratory,
e-mail: sah19@only.arl.psu.edu
The Pennsylvania State University
, PO Box 30, State College, PA 16804
Search for other works by this author on:
Michael J. Daley
Akustica, Inc.
, 2835 East Carson Street, Suite 301, Pittsburgh, PA 15203e-mail: mdaley@akustica.com
Stephen A. Hambric
Applied Research Laboratory,
The Pennsylvania State University
, PO Box 30, State College, PA 16804e-mail: sah19@only.arl.psu.edu
J. Vib. Acoust. Feb 2009, 131(1): 011006 (9 pages)
Published Online: January 5, 2009
Article history
Received:
August 21, 2007
Revised:
July 15, 2008
Published:
January 5, 2009
Citation
Daley, M. J., and Hambric, S. A. (January 5, 2009). "A Method to Simulate Structural Intensity Fields in Plates and General Structures Induced by Spatially and Temporally Random Excitation Fields." ASME. J. Vib. Acoust. February 2009; 131(1): 011006. https://doi.org/10.1115/1.2980381
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