Steel and Composite Structures

Volume 58, Number 1, 2026, pages 1-26

DOI: 10.12989/scs.2026.58.1.001

High-frequency vibroacoustic and energy flow investigation in Orthotropic plates using various shear deformation theories

Yoosef Ghobad , Amin Farrokhabadi , Morteza Karamooz Mahdiabadi

Abstract

Energy Flow Analysis (EFA) provides an efficient approach for high frequency vibration analysis by modeling time-averaged energy density distributions. This study applies EFA to investigate vibroacoustic behavior in orthotropic plates subjected to high frequency excitation. Governing equations of motion are derived using Classical Plate Theory (CPT), First Order Shear Deformation Theory (FSDT), and Higher Order Shear Deformation Theories (HSDT). Wave propagation parameters like wave number and group velocity are extracted from each plate theory and their accuracy is compared. An energy density formulation is also developed based on the classical solution of equations of motion. EFA solutions show that HSDT yields more accurate predictions of wave parameters compared to CPT and FSDT, especially at very high frequencies, since it accounts for shear deformation effects more precisely. The EFA results are validated against classical energy density solutions, demonstrating acceptable accuracy with less than 4dB difference in the far-field region. Furthermore, comparisons reveal that HSDT provides more valid solutions than FSDT when analyzing thick plates, for both classical and EFA methods. This study demonstrates the effectiveness of EFA for high frequency vibration analysis in orthotropic plates. HSDT improves the modeling of important shear deformation effects at high frequencies. EFA generates computationally efficient solutions while maintaining acceptable accuracy levels. The proposed methodology enhances vibroacoustic characterization and design of orthotropic plate structures subjected to high frequency excitation.

Key Words

energy flow analysis; high frequency vibrations; orthotropic plate; shear deformation theories

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