Nonlinear dynamic response and buckling of laminated cylindrical shells with axial shallow groove based on a semi-analytical method

Wang, Tianlin; Tang, Wenyong; Sheng-kun, Zhang

doi:10.1007/s11741-007-0306-1

Cited by 5 publications

(7 citation statements)

References 15 publications

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“…In case of a solution in dimensional parameters, the sought-for functions have a different order, for example, the deflections W have the order 1 10  and , , , xy UV  have the order 23 10 -10 .…”

Section: Discussionmentioning

confidence: 99%

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Dimensionless Models of Deformation of Stiffened Shell Structures

2018

PNRPU MB

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Original Russian Text: Karpov V.V., Semenov A.A. Dimensionless models of deformation of stiffened shell structures. PNRPU Mechanics Bulletin, 2015, no. 3, pр. 74-94. This paper suggests a variant of dimensionless parameters for a wide range of shell structures. Dimensionless parameters have been used for shallow shells of rectangular planform for a long time. There is no universal form of dimensionless relations for shells of a general type, since the Lamé parameters are different for each type of shells, as far as their values and dimensions are concerned. Therefore, the work shows the dimensionless relations for strains, stresses, forces, moments and the functional of total potential energy of deformation. These relations consider geometrical nonlinearity, transverse shears, material orthotropy, as well as the introduction of ribs according to the structural anisotropy method with their shear and torsional rigidity taken into account. The authors show a further approach to solving strength and stability problems with respect to different types of shells in dimensionless parameters. Some methods intended to solve nonlinear strength problems are not quite correct, when dimensional parameters are used (for example, the methods based on the best parameter continuation method). In dimensionless parameters, all calculation are beyond doubt, as far as their correctness is concerned. The article also provides the calculations of some shell structures in dimensionless and dimensional parameters and shows their consistency. The introduction of dimensionless parameters in the course of calculation of such structures allows to obtain more comprehensive information on the stress and strain state of shells and detect strain features for a whole range of such shells. Also, this approach is suitable for optimizing the choice of structural parameters. The authors analyze some differences in critical loads that were obtained in the dimensionless and dimensional solutions of the problem. © PNRPU

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Section: Discussionmentioning

confidence: 99%

“…The works [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] use different dimensionless parameters for each specific type of shells and problems to be solved. However, it is reasonable to develop universal dimensionless parameters that are suitable for different types of shells regardless of a problem to be solved.…”

Section: Introductionmentioning

confidence: 99%

Dimensionless Models of Deformation of Stiffened Shell Structures

2018

PNRPU MB

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“…Galishin and Shevchenko [85] determined the axisymmetric nonlinear thermoelastoplastic state of laminated orthotropic shells. Wang et al [86] studied the nonlinear dynamic response and buckling of laminated cylindrical shells with axial shallow grooves. Nonlinear finite element analyses were performed by Kundu et al [87], Naidu and Sinha [88] and Guo et al [89].…”

Section: Nonlinear Theoriesmentioning

confidence: 99%

“…Zarivnyak [179] researched the probability of the critical state of glue joints of a shallow laminated shell. Other studies on shallow shells include those of Grigorenko et al [180] Matsunaga [53], Wang et al [86], Ye and Zhou [112], Jakomina et al [80], Xu et al [92], Gupta [181], and Zhu et al [140].…”

Section: Shell Geometriesmentioning

confidence: 99%

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

Qatu¹,

Asadi²,

Wang³

2012

OJCM

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Laminated composite shells are frequently used in various engineering applications including aerospace, mechanical, marine, and automotive engineering. This article reviews the recent literature on the static analysis of composite shells. It follows up with the previous work published by the first author [1-4] and it is a continuation of another recent article that focused on the dynamics of composite shells [3]. This paper reviews most of the research done in recent years (2000-2010) on the static and buckling behavior (including postbuckling) of composite shells. This review is conducted with an emphasis on the analysis performed (static, buckling, postbuckling, and others), complicating effects in both material (e.g. piezoelectric) and structure (e.g. stiffened shells), and the various shell geometries (cylindrical, conical, spherical and others). Attention is also given to the theory being applied (thin, thick, 3D, nonlinear …). However, more details regarding the theories have been described in previous work [1,3]

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“…Unfortunately, no applicable elements exist to solve the problems more efficiently. The vast majority of elements are only used to deal with geometric nonlinearity [17][18][19][20]. Although Ferreira et al [21] and Masti and Sainsbury [22] presented the composite cylindrical shell elements, which can describe the nonlinear behaviors of the hyperelastic coating and the viscoelastic coating, respectively, the elements have no ability to deal with the strain dependence of hard-coating, especially the strain dependence of the loss factor, which determines the value of the global material damping matrix.…”

Section: Introductionmentioning

confidence: 99%

A New Finite Element Formulation for Nonlinear Vibration Analysis of the Hard-Coating Cylindrical Shell

2017

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Abstract:In this paper, a four-node composite cylindrical shell finite element model based on Love's first approximation theory is proposed to solve the nonlinear vibration of the hard-coating cylindrical shell efficiently. The developed model may have great significance for vibration reduction of the cylindrical shell structures of the aero engine or aircraft. The influence of the strain dependence of the coating material on the complex stiffness matrix is considered in this model. Nonlinear iterative solution formulas with a unified iterative method are theoretically derived for solving the resonant frequency and response of the composite cylindrical shell. Then, a cylindrical shell coated with a thin layer of NiCoCrAlY + yttria-stabilized zirconia (YSZ) is chosen to demonstrate the proposed formulation, and the rationality is validated by comparing with the finite element iteration method (FEIM). Results show that the developed finite element method is more efficient, and the hard-coating cylindrical shell has the characteristics of soft nonlinearity due to the strain dependence of the coating material.

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Nonlinear dynamic response and buckling of laminated cylindrical shells with axial shallow groove based on a semi-analytical method

Cited by 5 publications

References 15 publications

Dimensionless Models of Deformation of Stiffened Shell Structures

Dimensionless Models of Deformation of Stiffened Shell Structures

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

A New Finite Element Formulation for Nonlinear Vibration Analysis of the Hard-Coating Cylindrical Shell

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