A vibration analysis of stiffened plates under heavy fluid loading by an energy finite element analysis formulation

Zhang, Weiguo; Wang, Aimin; Vlahopoulos, Nickolas; Wu, Kuangcheng

doi:10.1016/j.finel.2004.10.012

Cited by 40 publications

(16 citation statements)

References 30 publications

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“…Zhang et al developed an alternative energy finite element formulation for interior acoustic spaces and thin plates considering the wave response as a summation of incoherent orthogonal waves [18]. They also expanded the EFEM to analyze the energy distribution of stiffened plates under heavy fluid loading [19]. Xie et al applied EFEM to high-frequency structural-acoustic coupling of an aircraft cabin with truncated conical shape [20] and proposed the transient vibrational energy response analysis of a rod under high-frequency excitation [21].…”

Section: Introductionmentioning

confidence: 99%

High-Frequency Dynamic Analysis of Plates in Thermal Environments Based on Energy Finite Element Method

Wang¹,

Xie

2015

Shock and Vibration

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The energy density governing equation to analyze the high-frequency dynamic behavior of plates in thermal environments is derived in this paper, in which the thermal effects are considered to change the membrane stress state and temperature dependent material properties of plates. Then the thermal effects on the energy reflection and transmission coefficients are dealt with hereof. Based on the above, an EFEM (energy finite element method) based approximate approach for the energy analysis of coupled plates under nonuniform thermal environments is proposed. The approach could be conducted by three steps: (1) thermal analysis, (2) thermal stress analysis, and (3) forming element matrixes, joint matrixes, and the whole EFEM formulation for the energy analysis. The same mesh model is used for all the three steps. The comparison between EFEM results and classical modal superposition method results of simply supported plates in various uniform thermal environments and coupled plates in nonuniform thermal environments demonstrated that the derived energy governing equation and the proposed approach described well the smooth time- and locally space-averaged energy density. It is found that the distributions and levels of energy density are affected by thermal effects, and the variation trends are related to exciting frequency.

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Section: Introductionmentioning

confidence: 99%

High-Frequency Dynamic Analysis of Plates in Thermal Environments Based on Energy Finite Element Method

Wang¹,

Xie

2015

Shock and Vibration

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“…The added mass effect and the radiation damping effect due to the fluid loading were considered in the derivation of the energy governing equation. Zhang et al [26,27] also developed energy flow model cylindrical shells with periodic circumferential stiffeners and stiffened plates. Park and Hong [28][29][30] newly derived the energy governing equations of the Timoshenko beam and Mindlin plate considering rotatory inertia and shear distortion.…”

Section: Introductionmentioning

confidence: 99%

Energy flow model for thin plate considering fluid loading with mean flow

Han

Hong

Song

2012

Journal of Sound and Vibration

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“…The EFEA is an emerging technology for analyzing complex structural-acoustic systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. The EFEA utilizes the spatially averaged vibrational or acoustic energy as a primary variable for developing governing differential equations for each wave type present within a system.…”

Section: Introductionmentioning

confidence: 99%

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

Vlahopoulos

Schiller²,

Lee

2011

SAE Int. J. Aerosp.

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The Energy Finite Element Analysis (EFEA) has been utilized successfully for modeling complex structural-acoustic systems with isotropic structural material properties. In this paper, a formulation for modeling structures made out of composite materials is presented. An approach based on spectral finite element analysis is utilized first for developing the equivalent material properties for the composite material. These equivalent properties are employed in the EFEA governing differential equations for representing the composite materials and deriving the element level matrices. The power transmission characteristics at connections between members made out of non-isotropic composite material are considered for deriving suitable power transmission coefficients at junctions of interconnected members. These coefficients are utilized for computing the joint matrix that is needed to assemble the global system of EFEA equations. The global system of EFEA equations is solved numerically and the vibration levels within the entire system can be computed. The new EFEA formulation for modeling composite laminate structures is validated through comparison to test data collected from a representative composite aircraft fuselage that is made out of a composite outer shell and composite frames and stiffeners. NASA Langley constructed the composite cylinder and conducted the test measurements utilized in this work.

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A vibration analysis of stiffened plates under heavy fluid loading by an energy finite element analysis formulation

Cited by 40 publications

References 30 publications

High-Frequency Dynamic Analysis of Plates in Thermal Environments Based on Energy Finite Element Method

High-Frequency Dynamic Analysis of Plates in Thermal Environments Based on Energy Finite Element Method

Energy flow model for thin plate considering fluid loading with mean flow

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

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