High-frequency vibration analysis of thin elastic plates under heavy fluid loading by an energy finite element formulation

Parametric design sensitivity analysis of high-frequency structural-acoustic problems using energy finite element method

“…But because the acoustic wave serves as fluid loading on the structural panels, it will then affect structural bending vibrational characteristics, a fact that needs to be included in the governing equation of structural bending vibration. Zhang et al [28] pointed out that the effect of fluid loading on the structural vibration differs by the coincidence frequency f c , where the structural bending wave number k sB coincides with the acoustic wave number k. For a frequency above the coincidence frequency, the effect can be expressed in terms of the radiation damping factor. For a frequency below the coincidence frequency, the effect is expressed in terms of the effective surface mass density (or effective group bending speed) and the radiation damping factor.…”

“…Zhang et al [28] extended EFEM to consider the effects of fluid loading on the structural vibration at high frequency. They also investigated the effect of structural radiation damping on the EFEM governing equation.…”

Random energy flow analysis of coupled beam structures and its correlation with SEA

“…Seo et al [7] applied EFA to predict the response of a plate reinforced with multiple parallel beams by utilizing the power transfer characteristics at the beam-plate junctions. Zhang et al [8] employed EFA to model the high frequency behavior of a plate structure in contact with dense fluid. In their report, the effect of heavy fluid loading was considered as added mass or radiation damping according to loading frequency and taken into account in computing power transfer coefficients between coupling plate members.…”

“…For broadband excitation, current application with EFA is to predict the energy response at discrete frequencies as single-frequency excitation and obtain the results through frequency averaging or only predict the response at the central frequency of the band [8][9][10]13]. However, energy responses calculated using EFA in this manner do not represent the actual energy levels of structures subject to random broadband loadings.…”

“…Based on the assumption made in the derivation of the SEA formulation, this method applies to situations where structures are excited by band-limited white noise [21]. Since EFA cannot provide energy levels of structures subject to random excitations, in previous development of the method, comparison between results from EFA and SEA has never been made directly with respect to energy levels of subsystems but indirectly with respect to energy ratios between them [8,22,23]. Moreover, correlation between the two methods in modeling energy interaction behavior between coupling subsystems has never been investigated.…”