Semi-analytical solution for three-dimensional transient response of functionally graded annular plate on a two parameter viscoelastic foundation

Liang, Xu; Wang, Zhengyu; Wang, Lizhong; Li, Guohua

doi:10.1016/j.jsv.2014.01.021

Cited by 37 publications

(12 citation statements)

References 40 publications

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“…Liang et al (2014) studied the transient response of functionally graded annularplate under a two parameter viscoelastic foundation based on the threedimensional theory ofelasticity and using the differential quadrature method, state space method and Laplace transform.Vibration reduction of composite plates by piezoelectric patches was investigated by Bargh and Sadra (2014), based on the classical plate theory and using a modified artificial bee colony algorithm. Basedon the sinusoidal shear deformation theory and by using the Navier's and meshless methods, free vibrationanalyses of viscoelastic double-bonded polymeric nanocomposite plates are investigated byMohammadimehr et al (2015).…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model

Molla-Alipur

Rajabi

2017

Lat. Am. j. solids struct.

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Effects of viscoelastic substrates on the sandwich structures oscillations are examined in this paper. In this regard, dynamic response of sandwich annular panels with FG polar orthotropic face sheets resting on viscoelastic substrate is presented. Young's modulus in the radial and circumferential direction, shear modulus and density of each face sheet may be varied continuously in the radial direction. The viscoelastic substrate is modeled as Kelvin-Voigt foundation. To describe more accurately response of sandwich structures, the governing dynamical equations are derived based on the layerwise theory and five systems of second order coupled partial differential equations are obtained. The effects of the stiffness and damping coefficients of the foundation on the dynamic behavior of sandwich plate are investigated for various transient loads and boundary condition. Since no available results may be found in literature to demonstrate the efficiency and accuracy of the obtained results, the obtained results are verified by comparison with finite element results based on the three dimensional theory of elasticity for some special cases.

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Section: Introductionmentioning

confidence: 99%

Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model

Molla-Alipur

Rajabi

2017

Lat. Am. j. solids struct.

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“…Delamination caused by large inter-laminar stresses, and the initiation and propagation of cracks are avoided in FGMs (Carrera and Soave, 2011;Abbasnejad et al, 2013). Well tailored FGMs have much superiority over conventional composites (Wen et al, 2011;Liang et al, 2014). Recently, FGMs have gained a lot of popularity and been widely applied in various engineering fields, such as the aerospace industry, power industry, and civil engineering (Miyamoto et al, 1999;Liang et al, 2014;2015a;Ng, 2014).…”

Section: Introductionmentioning

confidence: 99%

“…Well tailored FGMs have much superiority over conventional composites (Wen et al, 2011;Liang et al, 2014). Recently, FGMs have gained a lot of popularity and been widely applied in various engineering fields, such as the aerospace industry, power industry, and civil engineering (Miyamoto et al, 1999;Liang et al, 2014;2015a;Ng, 2014). As a common structural element, cylindrical shells have many advantages, such as a good strength to weight ratio, simple manufacture, savings in material cost, and large containment capability (Hosseini-Hashemi et al, 2012).…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical state-space approach for 3D transient analysis of functionally graded material cylindrical shells

Liang

Kou

Liu

et al. 2015

J. Zhejiang Univ. Sci. A

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Abstract:A good understanding of the mechanical behavior of functionally graded material (FGM) cylindrical shells is necessary for designers and researchers. However, the 3D transient response of FGM cylindrical shells under various boundary conditions has not yet been analyzed. In this paper, the problem is addressed by proposing an approach integrating the state space method, differential quadrature method, and Durbin's numerical inversion method of Laplace transform. The laminate model is used to obtain the transient solution in the radial direction. At the edges, four kinds of boundary conditions are considered: Clamped-Clamped, Clamped-Simply supported, Clamped-Free, and Simply supported-Simply supported. The results of the proposed method and finite element (FE) method agree with each other excellently. Convergence studies show that the proposed method has a fast convergence rate. The natural frequencies obtained by the proposed method, experiment, and other theoretical methods are in close agreement with each other. The effects of the load frequency and duration, length/outer radius ratio, and the (outer radius−inner radius)/outer radius ratio on the transient response of FGM shells are investigated. Two laws of variation of material properties along the radial direction are considered: the first has material properties varying according to an exponential law along the radial direction, while the second has material properties varying according to a power law. The effect of a functionally graded index on the transient response of FGM shells is investigated in both cases. The results obtained in this paper can serve as benchmark data for further research.

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“…Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. 5 investigate the statics or harmonic dynamics of FGM annular sector plate. By introducing two displacement functions and two stress functions, Xu [29] developed new state space formulations for the free vibration of laminated circular, annular and sectorial plates.…”

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confidence: 99%

“…6 The authors [41] proposed two novel algorithms for the numerical inversion of Laplace transform. By the use of the novel algorithms, the authors proposed a semi-analytical method to evaluate the dynamic response of functionally graded plates subjected to underwater shock [42], and obtained the semi-analytical solutions for the transient response of FGM annular plates based on the SSM and DQM [5]. …”

mentioning

confidence: 99%

Three-dimensional transient analysis of functionally graded material annular sector plate under various boundary conditions

Liang

Kou

Wang

et al. 2015

Composite Structures

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Semi-analytical solution for three-dimensional transient response of functionally graded annular plate on a two parameter viscoelastic foundation

Cited by 37 publications

References 40 publications

Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model

Viscoelastic Substrates Effects on the Elimination or Reduction of the Sandwich Structures Oscillations Based on the Kelvin-Voigt Model

A semi-analytical state-space approach for 3D transient analysis of functionally graded material cylindrical shells

Three-dimensional transient analysis of functionally graded material annular sector plate under various boundary conditions

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