Vibration of functionally graded cylindrical shells

Loy, C.T.; Lam, K.Y.; Reddy, J. N.

doi:10.1016/s0020-7403(98)00054-x

Cited by 692 publications

(331 citation statements)

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“…Vibration analyses are especially one of the main and critical considerations and thus should be given a high priority in designing cylindrical shell used in aerospace application. Numerous studies have been performed so far on the linear vibration of FG cylindrical shell considering the influence of different parameters such as the edge conditions, temperature rise and follower axial forces (Loy et al 1999, Pradhan et al 2000, Haddadpour et al 2007, Torki et al 2014. Vibration amplitudes of cylindrical shell may not, however, small enough to be accurately predicted by the linear analysis and thus the geometric nonlinearity should be accounted for.…”

Section: Saeed Mahmoudkhani Amentioning

confidence: 99%

Nonlinear Vibration and Mode Shapes of FG Cylindrical Shells

Mahmoudkhani

2017

Lat. Am. j. solids struct.

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Section: Saeed Mahmoudkhani Amentioning

confidence: 99%

Nonlinear Vibration and Mode Shapes of FG Cylindrical Shells

Mahmoudkhani

2017

Lat. Am. j. solids struct.

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“…This is especially true for linear problems (Lam et al (2002); Loy et al (2008); Matsunaga (2008); Neves et al (2013); Pradyumna and Bandyopadhyay (2008); Reddy et al (1999); Reddy (2009);Shen (2009) ;Viola (2007, 2009) ;Tornabene et al (2011);Zhu et al (2014Zhu et al ( , 2015). However, in the last decade, nonlinear free and forced vibrations of the FG shells have been extensively studied as well (Reddy et al (1999); Reddy (2009);Shen (2009); Amabili (2008); Alijani et al (2011a,b); Bich et al (2012); Chorfi and Houmat (2010); Sundararajan et al (2005); Woo et al (2006); Xiang et al (2015); Zhao and Liew (2009)).…”

Section: Introductionmentioning

confidence: 99%

“…A complete survey on linear and nonlinear vibrations of FG plates and shells can be found in the following references (Shen (2009) ;Tornabene et al (2011);Zhu et al (2014); Amabili (2008); Alijani et al (2011b)). Note that in the aforementioned papers, nonlinear vibrations of simply supported or clamped FG structures of rectangular, skew or circle planforms have been analyzed by different numerical methods such as Finite Element Method (FEM) [Lam et al (2002); Loy et al (2008); Matsunaga (2008); Reddy et al (1999); Reddy (2009);Shen (2009) ;Bich et al (2012)], Differential Quadrature Method Viola (2007, 2009) ;Tornabene et al (2011)], modified Fourier-Ritz Approach [Zhu et al (2014[Zhu et al ( , 2015], etc. A survey on vibrations of open shells of revolution can be found in papers [Zhu et al (2014[Zhu et al ( , 2015; Amabili (2008)].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Geometrically Nonlinear Vibrations of Functionally Graded Shallow Shells of a Complex Shape

Awrejcewicz

Kurpa

Shmatko

2017

Lat. Am. j. solids struct.

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Geometrically nonlinear vibrations of functionally graded shallow shells of complex planform are studied. The paper deals with a power-law distribution of the volume fraction of ceramics and metal through the thickness. The analysis is performed with the use of the R-functions theory and variational Ritz method. Moreover, the Bubnov-Galerkin and the Runge-Kutta methods are employed. A novel approach of discretization of the equation of motion with respect to time is proposed. According to the developed approach, the eigenfunctions of the linear vibration problem and some auxiliary functions are appropriately matched to fit unknown functions of the input nonlinear problem. Application of the R-functions theory on every step has allowed the extension of the proposed approach to study shallow shells with an arbitrary shape and different kinds of boundary conditions. Numerical realization of the proposed method is performed only for one-mode approximation with respect to time. Simultaneously, the developed method is validated by investigating test problems for shallow shells with rectangular and elliptical planforms, and then applied to new kinds of dynamic problems for shallow shells having complex planforms.

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“…The previous research has been performed on analysis of the transient response of functionally graded shells to vibration and impact [2,3]. And also some works were reported on the problems of composite submersible hull and ship section subjected to underwater shock loading using coupled finite element and DAA-boundary element methods [4,5,6,7].…”

Section: Introductionmentioning

confidence: 99%

Functionally graded shells subjected to underwater shock

Gong¹,

Lam²

2012

AIP Conference Proceedings

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Abstract. This paper deals with the problem of functionally graded (FG) cylindrical shells subjected to underwater shock. A computational approach to predict the dynamic response of the FG cylindrical shells to underwater shock is presented. The effective material properties of functionally graded materials (FGMs) for the cylindrical shells are assumed to vary continuously through the shell thickness and are graded in the shell thickness direction according to a volume fraction power law distribution. Based on Doubly Asymptotic Approximation (DAA) method, the fluid-structure interaction equation for a submerged structure is derived, in which the constitutive relation for functional graded material is implemented. The coupled fluid-structure equations, relating structure response to fluid impulsive loading, are solved using coupled finite-element and boundary-element codes. The computational procedure for the prediction of transient response of the FG graded cylindrical shells subjected to underwater shock is described, with a discussion of the results.

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Vibration of functionally graded cylindrical shells

Cited by 692 publications

References 0 publications

Nonlinear Vibration and Mode Shapes of FG Cylindrical Shells

Nonlinear Vibration and Mode Shapes of FG Cylindrical Shells

Analysis of Geometrically Nonlinear Vibrations of Functionally Graded Shallow Shells of a Complex Shape

Functionally graded shells subjected to underwater shock

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