Piecewise shear deformation theory and finite element formulation for vibration analysis of laminated composite and sandwich plates in thermal environments

Zhao, Rui; Yu, Kaiping; Hulbert, Gregory M.; Wu, Ying; Li, Xiangyang

doi:10.1016/j.compstruct.2016.10.103

Cited by 36 publications

(7 citation statements)

References 57 publications

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“…Therefore, Zhao et al. [25] proposed a real sense of the piecewise shear deformation theory, the laminated composite and sandwich plates were divided into three sections through the thickness, thus the number of variables had no connection with the number of layers but was dependent on the number of sections. However, owing to that the xy -plane of coordinate system coincided with the mid-plane of the sandwich plate, the value range of z coordinate was asymmetric, thus tension-bending coupling stiffness coefficient was not zero and equations of motion were very complicated.…”

Section: Introductionmentioning

confidence: 99%

Free vibration and buckling analysis of composite sandwich plates in thermal environment

Zhai

Liang

2018

Jnl of Sandwich Structures & Materials

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In this work, a first-order discrete layer model is performed to deal with the free vibration and buckling analysis of composite sandwich plates in thermal environment. Owing to considering the effect of rotary inertias and shear deformation, thin-to-moderately thick shells can be analyzed. The differential equations of motion are derived from Hamilton’s principle, and account for the nonlinear variation of the in-plane and transverse displacements through the thickness due to temperature variation. These equations are solved by means of the closed-form Navier method, and validated by comparing the numerical results obtained by the present method with the findings published in literatures. Finally, the variation tendency of critical buckling temperature with material parameters is evaluated and shown graphically.

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Section: Introductionmentioning

confidence: 99%

Free vibration and buckling analysis of composite sandwich plates in thermal environment

Zhai

Liang

2018

Jnl of Sandwich Structures & Materials

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“…Equivalent single theories and layerwise theories are two approaches that are mostly adopted to model the displacement fields for multi-layered laminated and sandwich plates. Compared to the most commonly used equivalent single theories [32][33][34], such as classic laminate theory, first-order or higher-order shear deformation theory, layerwise theories are capable of predicting more accurate static and dynamic behavior of soft-core sandwich structures by a separate description of displacement fields for each layer [35][36][37][38].…”

Section: Layerwise Theorymentioning

confidence: 99%

“…where α (k) is the thermal expansion coefficient and ∆T(z) is the temperature change through the plate thickness, which could have uniform, linear or parabolic distribution. For the bottom and top face sheets (k = 1, 3), the stiffness matrices and thermal expansion coefficient in the global coordinate system are obtained from those in the material coordinate system with transformation matrices between the global and material coordinates, which are expressed in detail in [38].…”

Section: Stress-strain Relationsmentioning

confidence: 99%

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Mechanical Stability of Hybrid Corrugated Sandwich Plates under Fluid-Structure-Thermal Coupling for Novel Thermal Protection Systems

Zhuang

Yang

2020

Applied Sciences

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Hybrid corrugated sandwich (HCS) plates have become a promising candidate for novel thermal protection systems (TPS) due to their multi-functionality of load bearing and thermal protection. For hypersonic vehicles, the novel TPS that performs some structural functions is a potential method of saving weight, which is significant in reducing expensive design/manufacture cost. Considering the novel TPS exposed to severe thermal and aerodynamic environments, the mechanical stability of the HCS plates under fluid-structure-thermal coupling is crucial for preliminary design of the TPS. In this paper, an innovative layerwise finite element model of the HCS plates is presented, and coupled fluid-structure-thermal analysis is performed with a parameter study. The proposed method is validated to be accurate and efficient against commercial software simulation. Results have shown that the mechanical instability of the HCS plates can be induced by fluid-structure coupling and further accelerated by thermal effect. The influences of geometric parameters on thermal buckling and dynamic stability present opposite tendencies, indicating a tradeoff is required for the TPS design. The present analytical model and numerical results provide design guidance in the practical application of the novel TPS.

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“…The sandwich plate was examined with shear deformation theory for the transverse sinusoidal load. The vibrational analysis of a sandwich plate with piecewise shear deformation theory with the consideration of single layer orthotropic material in a sheet, performed by Zhao et al [19]. The author was considered the examples based on vibrational analysis for the demonstration of effectiveness and exactness of the utilized theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear flexural analysis of sandwich beam with multi walled carbon nanotube reinforced composite sheet under thermo-mechanical loading

Lal

Markad

2020

Curved and Layered Structures

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Nonlinear flexural analysis of sandwich composite beam with multiwall carbon nanotube (MWCNT) reinforced composite face sheet and bottom sheet under the thermo-mechanically induced loading using finite element method is carried out. Solution of current bending analysis is performed using Newton’s Raphson approach by using higher order shear deformation theory (HSDT) and non-linearity with Von Kármán kinematics. The sandwich laminated composite beam is subjected to uniform, linear and nonlinear varying temperature distribution through thickness of the beam. The sandwich beam with MWCNT reinforced composite facesheet and bottom sheet is subjected to point, uniformly distributed (UDL), hydrostatic and sinusoidal loading. The two phase matrix is utilized with E-Glass fiber to form three phase composite face sheet and bottom sheet by Halpin-Tsai model. The static bending analysis is performed for evaluating the transverse central deflection of three and five layered sandwich composite beam. Transverse central deflection is measured by varying CNT volume fraction, uniformly distributed, linearly and nonlinear varying temperature distribution, thickness ratio, boundary condition, number of walls of carbon nanotube by using interactive MATLAB code.

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Piecewise shear deformation theory and finite element formulation for vibration analysis of laminated composite and sandwich plates in thermal environments

Cited by 36 publications

References 57 publications

Free vibration and buckling analysis of composite sandwich plates in thermal environment

Free vibration and buckling analysis of composite sandwich plates in thermal environment

Mechanical Stability of Hybrid Corrugated Sandwich Plates under Fluid-Structure-Thermal Coupling for Novel Thermal Protection Systems

Nonlinear flexural analysis of sandwich beam with multi walled carbon nanotube reinforced composite sheet under thermo-mechanical loading

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