A hybrid finite element formulation for a beam-plate system

Hong, Sang Bum; Wang, Aimin; Vlahopoulos, Nickolas

doi:10.1016/j.jsv.2006.05.027

Cited by 24 publications

(12 citation statements)

References 32 publications

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“…in Refs. [17][18][19][20][21][22][34][35][36][37][38][39][40][41][42][43], in which the long-wavelength, stiff components are usually described deterministically whereas the shortwavelength, flexible components are described statistically so as to account properly for the effects of system parameter variability [23,44,45]. Consequently, such combined hybrid models can provide more representative solutions than purely deterministic models for the vibroacoustic response of an ensemble of products [20][21][22].…”

Section: Hybrid Deterministic-statistical Methodsmentioning

confidence: 99%

A review of mid-frequency vibro-acoustic modelling for high-speed train extruded aluminium panels as well as the most recent developments in hybrid modelling techniques

et al. 2015

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The present paper reviews the vibro-acoustic modelling of extruded aluminium train floor structures including the state-of-the-art of its industrial applications, as well as the most recent developments on mid-frequency modelling techniques in general. With the common purpose to predict mid-frequency vibro-acoustic responses of stiffened panel structures to an acceptable accuracy at a reasonable computational cost, relevant techniques are mainly based on one of the following three types of mid-frequency vibroacoustic modelling principles: (1) enhanced deterministic methods, (2) enhanced statistical methods, and (3) hybrid deterministic/statistical methods. It is shown that, although recent developments have led to a significant step forward in industrial applicability, mature and adequate prediction techniques, however, are still very much required for solving sound transmission through, and radiation from, extruded aluminium panels used on high-speed trains. Due to their great potentials for predicting mid-frequency vibro-acoustics of stiffened panel structures, two of recently developed mid-frequency modelling approaches, i.e. the so-called hybrid finite element-statistical energy analysis (FE-SEA) and hybrid wave-based methodstatistical energy analysis (WBM-SEA), are then recapitulated.Keywords Mid-frequency vibro-acoustic modelling Á Extruded aluminium panels Á Wave-and modal-based analytical methods Á Element-based numerical methods Á Hybrid deterministic-statistical methods

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Section: Hybrid Deterministic-statistical Methodsmentioning

confidence: 99%

A review of mid-frequency vibro-acoustic modelling for high-speed train extruded aluminium panels as well as the most recent developments in hybrid modelling techniques

et al. 2015

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“…(12) divided by 2π, as expressed in Eq. (13). Correspondingly, the intensity in a beam under random excitation can be formulated as…”

Section: Formulation Of Random Efamentioning

confidence: 99%

“…Zhao et al [12] employed a similar approach to study the vibration behavior of beams connected at an arbitrary angle and have captured the resonant behavior due to longitudinal vibration. The hybrid formulation combining EFA with FEM has been applied successfully in practice for a beam-plate system [13].…”

Section: Introductionmentioning

confidence: 99%

“…Since the simple relationship between averaged intensity and energy density, which is the most significant theoretical foundation of EFA, is deduced by assuming that waves with identical frequency propagate oppositely in structures, most applications of EFA are limited to loading cases of single-frequency excitation [1][2][3][4][5][11][12][13][14][15][16], where only waves with the same frequency as the acting force are provoked in structures. 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].…”

Section: Introductionmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

You

Meng

2009

Arch Appl Mech

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Energy flow analysis (EFA) method is a vibration simulation tool developed for structures under single-frequency excitation. The work described in this paper aims to extend the application of EFA to situations where structures are subject to random broadband excitations. The proposed energy formulation for beam structures under random excitations, which is based on conventional EFA, is referred to as random EFA. Due to the new capability of random EFA, a comprehensive relationship between random EFA and the widely used statistical energy analysis (SEA) method in modeling energy response as well as power flow is established. Both random EFA and SEA are utilized to model the vibration behavior of a complex planar frame structure on which random broadband forces are applied. Good correlation between energy as well as power flow solutions is demonstrated between the two methods for beam members in close proximity to the external excitations, which validates the random EFA development.

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The influence of coupling nonlinearities on the dynamic behavior of a beam-plate system

Zhao,

Cui

2024

Communications in Nonlinear Science and Numerical Simulation

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A hybrid finite element formulation for a beam-plate system

Cited by 24 publications

References 32 publications

A review of mid-frequency vibro-acoustic modelling for high-speed train extruded aluminium panels as well as the most recent developments in hybrid modelling techniques

A review of mid-frequency vibro-acoustic modelling for high-speed train extruded aluminium panels as well as the most recent developments in hybrid modelling techniques

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

The influence of coupling nonlinearities on the dynamic behavior of a beam-plate system

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