Vibrations of composite laminated doubly-curved shells of revolution with elastic restraints including shear deformation, rotary inertia and initial curvature

Ye, Tiangui; Jin, Guoyong; Zhang, Yantao

doi:10.1016/j.compstruct.2015.07.051

Cited by 70 publications

(14 citation statements)

References 57 publications

(57 reference statements)

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“…Moreover, due to different forms of damages and defects, effective material properties may vary considerably from the specified values. Many researchers have studied free vibration characteristics of composite plates and shells following deterministic framework [1][2][3][4][5][6][7][8][9][10] in last couple of decades. Recent studies on doubly curved composite shells include vibration analysis considering elastic restraints and including the effects of shear deformation, rotary inertia and initial curvature [6], non-linear free vibration analysis [7] and large amplitude in free vibration analysis of thermally post-buckled composite doubly curved panel [8].…”

Section: Introductionmentioning

confidence: 99%

On quantifying the effect of noise in surrogate based stochastic free vibration analysis of laminated composite shallow shells

Mukhopadhyay

Naskar

Dey

et al. 2016

Composite Structures

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This paper presents the effect of noise on surrogate based stochastic natural frequency analysis of composite laminates. Surrogate based uncertainty quantification has gained immense popularity in recent years due to its computational efficiency. On the other hand, noise is an inevitable factor in every real-life design process and structural response monitoring for any practical system. In this study, a novel algorithm is developed to explore the effect of noise in surrogate based uncertainty quantification approaches. The representative results have been presented for stochastic frequency analysis of spherical composite shallow shells considering Kriging based surrogate model. The finite element formulation for laminated composite shells has been developed based on Mindlin's theory considering transverse shear deformation. The proposed approach for quantifying the effect of noise is general in nature and therefore, it can be extended to explore other surrogates under the influence of noise.

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Section: Introductionmentioning

confidence: 99%

On quantifying the effect of noise in surrogate based stochastic free vibration analysis of laminated composite shallow shells

Mukhopadhyay

Naskar

Dey

et al. 2016

Composite Structures

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“…Particularly, each of the basic beam variables is mathematically described as a set of modified Fourier series including a standard cosine Fourier series as well as certain auxiliary functions [36][37][38][39][40][41]. The auxiliary terms are introduced for the purpose of removing the entire possible discontinuities with the basic beam variables and their derivatives at the edges to form a mathematically complete set and then ensure the convergence and speed up the calculation [39,[42][43][44][45].…”

Section: Modified Fourier Series Approximation the Modifiedmentioning

confidence: 99%

Effects of Transverse Deformation on Free Vibration of 2D Curved Beams with General Restraints

Wang

Miao

et al. 2017

Shock and Vibration

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An efficient modified Fourier series-based sampling surface approach is proposed for the analytical evaluation of the vibration characteristics of thick curved beams subjected to general restraints. The theoretical models of the beams are formulated by the theory of elasticity in two dimensions, which allows arbitrary thickness configurations to be tackled. As an innovation of this work, the approach is based upon the sampling surface method combined with the use of modified Fourier series approximation. In particular, the transverse beam domain is discretized by a set of sampling surfaces with unequal spaces, and the displacement components in beam domain coinciding with these surfaces are mathematically described as a set of modified Fourier series in which certain supplementary functions are included to remove all the relevant discontinuities with the displacements and their derivatives at the boundaries to form a mathematically complete set and guarantee the results convergent to the exact solutions. The final results are numerically solved using a modified variational principle by means of Lagrange multipliers and penalty method for the sake of arbitrary boundary conditions. The influences of transverse normal and shear deformation on the vibration characteristics with respect to the geometrical dimension and boundary conditions are systematically evaluated.

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“…Also the cylindrical shell is described by a cylindrical coordinate system ( , , ), where the subscripts , , and represent the left, cylindrical, and right shell, respectively. We need to remember that there are two main curvatures radii (curvature radius of the meridional direction , curvature radius of the circumferential direction ) in geometry of the doubly curved shells [20,21], and two curvatures radii of the elliptical shell and the paraboloidal shell can be expressed as follows:…”

Section: Geometry Of the Airtight Cylindricalmentioning

confidence: 99%

“…Dozio [19] deals with the formulation of advanced two-dimensional Ritz-based models for accurate prediction of natural frequencies of thin and thick sandwich plates core made of functionally graded material. In [20,21], research results are presented on dynamic behavior of the composite laminated or the functionally graded material (FGM) doubly curved shells and panels of revolution with arbitrary boundary conditions. In literatures the displacement fields are represented by using several auxiliary functions and a standard Fourier series, the classical boundary conditions and the general elastic restraint are imitated by the coupling spring stiffness technique, and a unified numerical analysis model is presented to solve the free vibration of doubly curved shells and panels by using the Rayleigh-Ritz method.…”

Section: Introductionmentioning

confidence: 99%

Free and Forced Vibration Analysis of Airtight Cylindrical Vessels with Doubly Curved Shells of Revolution by Using Jacobi-Ritz Method

Pang

Choe³

et al. 2017

Shock and Vibration

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This paper presents free and forced vibration analysis of airtight cylindrical vessels consisting of elliptical, paraboloidal, and cylindrical shells by using Jacobi-Ritz Method. In this research, the theoretical model for vibration analysis is formulated by Flügge's thin shell theory and the solution is obtained by Rayleigh-Ritz method. The vessel structure is divided into shell components (i.e., ellipsoid, parabolic, and cylinder) and their segments, and each displacement field of shell segments is represented by the Jacobi polynomials and the standard Fourier series. The continuous conditions at the interface are modeled by using the spring stiffness technique. The reliability and the accuracy of the present method are verified by comparing the results of the proposed method with the results of the previous literature and the finite element method (FEM). Moreover, some numerical results for free and forced vibration of elliptical-cylindrical-elliptical vessel (ECE vessel) and paraboloidal-cylindrical-elliptical vessel (PCE vessel) are reported.

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Vibrations of composite laminated doubly-curved shells of revolution with elastic restraints including shear deformation, rotary inertia and initial curvature

Cited by 70 publications

References 57 publications

On quantifying the effect of noise in surrogate based stochastic free vibration analysis of laminated composite shallow shells

On quantifying the effect of noise in surrogate based stochastic free vibration analysis of laminated composite shallow shells

Effects of Transverse Deformation on Free Vibration of 2D Curved Beams with General Restraints

Free and Forced Vibration Analysis of Airtight Cylindrical Vessels with Doubly Curved Shells of Revolution by Using Jacobi-Ritz Method

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