Structural dynamic behavior of skew sandwich plates with laminated composite faces

Park, T.; Lee, S.-Y.; Seo, Jihye; Voyiadjis, G.Z.

doi:10.1016/j.compositesb.2007.01.003

Cited by 29 publications

(11 citation statements)

References 24 publications

(23 reference statements)

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“…The situation of free vibration is considered here to determine the relationship between k P and frequency. Substitution of Equation (11) into Equations (5) and 6…”

Section: Sound Radiationmentioning

confidence: 99%

“…As sandwich structures have great potential in application, a quite number of researches can be obtained from the public literatures, with various focus on building theoretical models [5][6][7][8], researching dynamic properties [9][10][11], configuring structures with various types of cores [12][13][14][15][16][17][18], and also realizing the engineering applications [1][2][3][4]. In practice, sandwich structures have various configurations for various specific focus, with the main difference lying on the cores.…”

Section: Introductionmentioning

confidence: 99%

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Vibro-Acoustic Performance of a Sandwich Plate with Periodically Inserted Resonators

Guo

Sheng

2019

Applied Sciences

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The vibro-acoustic performance of a sandwich plate with periodic locally resonant (LR) units is examined in this paper, with specific focus on the effect of periodic resonators on the average radiation efficiency and the acoustic radiation to the far field. In order to assess the radiation performance, the band-gap properties of an infinite periodic structure and the vibrational response of a finite periodic structure are first studied with closed-form solutions. Subsequently, the acoustic radiation efficiency of the LR sandwich plate is obtained using the concepts of modal radiation. It is shown that the acoustic radiation power can be reduced significantly, not only in the band-gap but also at frequencies close below the band-gap, due to either the decrease in radiation efficiency or the decrease in the vibration response. Thus, the periodic resonators provide a broader attenuation band for the purposes of noise reduction than for vibration reduction. However, for frequencies close above the band-gap, the acoustic performance became worse, owing to the increase in acoustic radiation efficiency. Fortunately, the increased sound radiation above the band-gap can be reduced by adding a small damping to the resonator, which further broadens the attenuation frequency band. The reason for the variation of acoustic radiation efficiency is also studied and can be physically explained by the effective mass of an LR unit, where increased mass corresponds to decreased radiation efficiency and decreased mass corresponds to increased radiation efficiency. Thus, the effective mass can be a useful parameter for designers to estimate which frequency component will be acoustically reduced or acoustically enhanced in a practical design.

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“…The situation of free vibration is considered here to determine the relationship between k P and frequency. Substitution of Equation (11) into Equations (5) and 6…”

Section: Sound Radiationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibro-Acoustic Performance of a Sandwich Plate with Periodically Inserted Resonators

Guo

Sheng

2019

Applied Sciences

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“…Onkar and Yadav [27] studied the nonlinear random vibrations of a simply supported cross-ply laminated composite plate using analytical methods, and the accuracy of response evaluation was improved in this work. Park et al [28] investigated the nonlinear forced vibrations of skew sandwich plates subjected to multiple of dynamic loads, the influence of the skew angles, boundary conditions, and loads on the nonlinear dynamic behaviors of composite plates which were discussed. Chien and Chen [29] studied the effects of initial stresses and different parameters on the nonlinear vibrations of laminated composite plates on elastic foundations.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibrations of Laminated Cross-Ply Composite Cantilever Plate in Subsonic Air Flow

Liu

Zhang

2020

Mathematical Problems in Engineering

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The nonlinear vibrations and responses of a laminated composite cantilever plate under the subsonic air flow are investigated in this paper. The subsonic air flow around the three-dimensional cantilever rectangle laminated composite plate is considered to be decreasing from the wing root to the wing tip. According to the ideal incompressible fluid flow condition and the Kutta–Joukowski lift theorem, the subsonic aerodynamic lift on the three-dimensional finite length flat wing is calculated by using the Vortex Lattice (VL) method. The finite length flat wing is modeled as a laminated composite cantilever plate based on Reddy’s third-order shear deformation plate theory and the von Karman geometry nonlinearity is introduced. The nonlinear partial differential governing equations of motion for the laminated composite cantilever plate subjected to the subsonic aerodynamic force are established via Hamilton’s principle. The Galerkin method is used to separate the partial differential equations into two nonlinear ordinary differential equations, and the four-dimensional nonlinear averaged equations are obtained by the multiple scale method. Through comparing the natural frequencies of the linear system with different material and geometric parameters, the relationship of 1 : 2 internal resonance is considered. Corresponding to several selected parameters, the frequency-response curves are obtained. The hardening-spring-type behaviors and jump phenomena are exhibited. The influence of the force excitation on the bifurcations and chaotic behaviors of the laminated composite cantilever plate is investigated numerically. It is found that the system is sensitive to the exciting force according to the complicate nonlinear behaviors exhibited in this paper.

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“…Malekzadeh and Fiouz (2007) employed two different differential quadrature approaches based on the thin plate theory and the first order shear deformation plate theory to investigate the large deformation analyses of thin and moderately thick orthotropic skew plates with nonlinear elastic rotationally restrained edges. Park et al (2008) performed a structural dynamic analysis of skew sandwich plate with laminated composite faces based on the high-order shear deformation plate theory. The effects of skew angles and layup sequences on the dynamic response for various parameters are studied using a nonlinear high-order finite element program developed for the study.…”

Section: Introductionmentioning

confidence: 99%

Effect of skew angle on nonlinear static behavior of fiber reinforced plastic (FRP) laminates with circular cutout

Raju¹

2011

Afr. J. Bus. Manage.

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One of the factors influencing the stiffness and stresses of the plate is skew angle of the plate. The present work focused on evaluation of the effect of skew angle on geometric nonlinear behavior of a four layered symmetric cross-ply (0°/90°/90°/0°) skew laminated fiber reinforced plastic (FRP) composite plate with a circular cutout at the geometric centre of the plate. The problem was modeled in ANSYS software and was executed for satisfactory results by performing convergence of the finite element mesh. Results were obtained for a uniform transverse pressure of 0.5 MPa for four different skew angles of the plate. The limitations of the linear assumption and the need for nonlinear analyses are stated.

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Structural dynamic behavior of skew sandwich plates with laminated composite faces

Cited by 29 publications

References 24 publications

Vibro-Acoustic Performance of a Sandwich Plate with Periodically Inserted Resonators

Vibro-Acoustic Performance of a Sandwich Plate with Periodically Inserted Resonators

Nonlinear Vibrations of Laminated Cross-Ply Composite Cantilever Plate in Subsonic Air Flow

Effect of skew angle on nonlinear static behavior of fiber reinforced plastic (FRP) laminates with circular cutout

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