Energy Flow Analysis Model of High-Frequency Vibration Response for Plates with Free Layer Damping Treatment

Teng, Xiaoyan; Han, Yuedong; Jiang, Xudong; Chen, Xiangyang; Zhang, Meng

doi:10.3390/math11061379

Cited by 3 publications

(2 citation statements)

References 18 publications

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“…Zhou et al [19] investigated the vibration energy flow transmission behavior of laminated composite plate structures coupled with a line hinge using the substructure-based power flow analysis method and analyzed the effects of the fiber orientation, boundary conditions and the position of coupling hinge on the vibration transmission path. Teng et al [20] calculated the energy density of the laminated plate with free damping layers under high-frequency excitation based on EFA and analyzed the effects of the loss factor and the thickness of the damping layer on the energy density.…”

Section: Introductionmentioning

confidence: 99%

An analytical model for the analysis of vibration and energy flow in a clamped stiffened plate using integral transform technique

Guo,

Zhang

2024

J. vibroeng.

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Based on Kirchhoff thin plate and Mindlin thick plate theories, the vibration and energy flow characteristics of clamped stiffened plate are studied by using the analytical model constructed by finite integral transform method. The results show that the energy flow characteristics of the stiffened plate at the beam/plate coupling interface depend on the position of the rib in the vibration modes of the plate. The effects of shear deformation and rotatory inertia on the energy flow across the beam/plate coupling interface of the stiffened plate are further investigated. It is found that the inclusion of rotatory inertia of the beam and plate in the model only affects the energy flow component controlled by the moment coupling but not that controlled by the shear force coupling. Whilst the inclusion of the shear deformation of the beam and plate mainly causes a decreased amplitude of the energy flow for the mode group where the beam is located away from both the nodal and antinodal lines of modes, in addition to the shear deformation of the plate which also leads to an increased amplitude of the energy flow component controlled by the shear force coupling for the mode group where the beam locates at the antinodal line of modes. The understanding of energy flow characteristics of the stiffened plate at the beam/plate interface is essential to effectively control the noise and vibration problems of structures such as transformer tanks and machine covers.

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Section: Introductionmentioning

confidence: 99%

An analytical model for the analysis of vibration and energy flow in a clamped stiffened plate using integral transform technique

Guo,

Zhang

2024

J. vibroeng.

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“…It has also been applied to some built-up structures, such as composite structures [24], beams with stepped thickness and variable cross-sections [25], and stiffened plates [26][27][28][29]. An energy flow analysis model for free-layer damped treated panels has recently been developed [30]. External factors, such as thermal loads [31] and external forces [32], have also been considered.…”

Section: Introductionmentioning

confidence: 99%

Prediction of the Transient Local Energy by Energy Finite Element Analysis

Wang,

Yu,

Zhao

2023

Mathematics

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Energy finite element analysis (EFEA) has been successfully applied to steady-state response prediction over the past three decades. Compared with other energy-based methods, such as statistical energy analysis (SEA), EFEA can consider more local structural information without increasing the computational consumption too much, which makes it attractive. Inspired by the transient local energy approach (TLEA), a general transient energy balance equation was derived by assuming that the plane wave condition is satisfied. The properties of the energy balance equation were studied, and the analytical solutions with different initial conditions were provided. Utilizing the derived transient energy balance equation, transient EFEA is proposed, which has the same advantages as EFEA. A general formula is presented for the energy transmission coefficients of any number of coupled in-plane beams. The present approach was validated using a single beam and a coupled collinear beam structure under unloading conditions. The coupled collinear beams were also investigated using constant and quasi-static input power. The validation results show that TEFEA can accurately predict the local response of the structure. All of these results were compared with those of finite element analysis (FEA), simplified TEFEA (sTEFEA), transient statistical energy analysis (TSEA), and analytical formulas.

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Vibro-acoustic characteristics of mass-loaded plates enforced by the spring-damper systems

Liu,

Zhang,

Zhu

et al. 2024

Engineering Analysis with Boundary Elements

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Energy Flow Analysis Model of High-Frequency Vibration Response for Plates with Free Layer Damping Treatment

Cited by 3 publications

References 18 publications

An analytical model for the analysis of vibration and energy flow in a clamped stiffened plate using integral transform technique

An analytical model for the analysis of vibration and energy flow in a clamped stiffened plate using integral transform technique

Prediction of the Transient Local Energy by Energy Finite Element Analysis

Vibro-acoustic characteristics of mass-loaded plates enforced by the spring-damper systems

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