High frequency vibration analysis by the complex envelope vectorization.
The complex envelope displacement analysis (CEDA) is a procedure to solve high frequency vibration and vibro-acoustic problems, providing the envelope of the physical solution. CEDA is based on a variable transformation mapping the high frequency oscillations into signals of low frequency content and has been successfully applied to one-dimensional systems. However, the extension to plates and vibro-acoustic fields met serious difficulties so that a general revision of the theory was carried out, leading finally to a new method, the complex envelope vectorization (CEV). In this paper the CEV method is described, underlying merits and limits of the procedure, and a set of applications to vibration and vibro-acoustic problems of increasing complexity are presented.
Giannini
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Dipartimento di Meccania e Aeronautica, Università di Roma La Sapienza, Via Eudossiana 18, 00184 Rome, Italy.
Carcaterra
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Sestieri
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D000162:Acoustics; D005583:Fourier Analysis; D008433:Mathematics; D008962:Models, Theoretical; D009991:Oscillometry; D012680:Sensitivity and Specificity; D013057:Spectrum Analysis; D014732:Vibration