Energy Finite Element Analysis Developments for Vibration Analysis of Composite Aircraft Structures

Vlahopoulos, Nickolas; Schiller, Noah H.; Lee, Sung-Min

doi:10.4271/2011-01-1734

Cited by 11 publications

(4 citation statements)

References 18 publications

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“…At present, the main solutions for the coupling problem of intermediate frequency acoustic vibration include the FE-SEA hybrid method, ESEA, SMEDA [6,29], energy FEM [106][107][108], and waveguide analysis (WGA) [109]. WGA considers the angular power of the subsystem and the flow balance of the system, which can provide angular distribution of plate energy.…”

Section: Waveguide Methodsmentioning

confidence: 99%

Research Progress on High‐Intermediate Frequency Extension Methods of SEA

Zheng

Deng

et al. 2019

Shock and Vibration

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Statistical energy analysis (SEA) can accurately describe the average vibration characteristics through system energy flow and transmission feedback. It is a powerful tool to solve the problem of high-frequency acoustics-vibration. SEA is widely used in vehicles, ships, aviation, and other transportation engineering fields. However, the expansion of SEA, based on the assumption of modal equipartition and weak coupling, is limited to the intermediate frequency. Although the SEA basic theory can be extended by relaxing the hypothesis conditions or the analysis of the medium-frequency acoustics-vibration can be carried out using the finite element method (FEM) and SEA mixing method, there are still many challenges associated with these options. To improve the basic theory of SEA and knowledge of intermediate frequency extension methods, as well as attract the attention of domestic scholars, this paper describes classical SEA and intermediate frequency extension methods. First, coupling loss factor (CLF) error propagation and parameter acquisition in classical SEA are introduced, and the three relative error calculation methods of CLF are compared. Then, the method of obtaining parameters is described from three aspects of energy transfer, input load, and modal density. Second, SEA intermediate frequency extension technology (experimental statistical energy analysis (ESEA), finite element statistical energy analysis (FE-SEA), statistical modal energy distribution analysis (SMEDA), and waveguide analysis (WGA)) are introduced. Neutron structure assembly and modeling, interval and mixed interval analysis, interval variable and mixed interval variable response are also described, so as to justify the development of a hybrid, large-scale interval algorithm. Finally, the engineering application of the above method is introduced, the limitations and shortcomings of SEA and intermediate frequency extension methods are reviewed, and unsolved problems are further discussed.

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Section: Waveguide Methodsmentioning

confidence: 99%

Research Progress on High‐Intermediate Frequency Extension Methods of SEA

Zheng

Deng

et al. 2019

Shock and Vibration

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“…The sound pressure distribution in the instrument cabin and the vibration characteristics of the instrument cabin under the conditions is obtained. In 2011, Vlahopoulos et al [104] proposed an equation for simulating composite laminate structures. In the same year, Xie M. X. et al [105] combined EFEA with energy boundary element analysis (EBEA) analyzed the sound field inside and outside the instrument cabin of the aircraft; Lin Y.…”

Section: Application Of Efea In Aerospacementioning

confidence: 99%

Research status and development trend of energy finite element analysis: a review

Xie¹,

Yao²,

Li³

et al. 2023

J. vibroeng.

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Compared with finite element method (FEA) and statistical energy method (SEA), the energy finite element method (EFEA) is a promising and more suitable method to predict the high-frequency vibration response and radiated noise of mechanical structures, due to its advantages of both computational efficiency and ability to get detail information. In recent years, researchers have made great progress in EFEA, due to the urgency of engineering application. This paper aims to comprehensively summarize historical and latest development of energy finite element analysis from two aspects of theory and engineering, to furtherly promote its application in the engineering field. Firstly, the development history of EFEA in basic structures is summarized, and the theoretical development direction of energy finite element in recent years is further analyzed. After that, the application of EFEA in aerospace, ship and vehicle engineering are summarized. Finally, the problems that need to be furtherly studied in EFEA are presented, and it is pointed out that it is an urgent research work to continue to improve the energy finite element analysis theory and software and apply it to engineering.

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“…Although possessing a distinct advantage in computational efficiency, SEA cannot be used alone to make a complete statistical analysis for the mid-frequency response of built-up systems, because the deterministic component violate the assumption of high modal overlap normally required in SEA. To lower the frequency range, several approaches, including wave intensity analysis [22], statistical modal energy distribution analysis [23,24] and the energy finite element method [25][26][27], have been proposed by attempting to relax some of the assumptions of SEA. The wave intensity method considers the angular power flow balance and can provide the angular distribution of the plate energy.…”

Section: Introductionmentioning

confidence: 99%