A Semi-Analytical Coupled Finite Element Formulation for Composite Shells Conveying Fluids

Kochupillai, Jayaraj; Ganesan, N.; Padmanabhan, Chandramouli

doi:10.1006/jsvi.2002.5176

Cited by 22 publications

(6 citation statements)

References 13 publications

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“…Substituting α = 0 in Eqs. (6) and 7, the forces-displacements relations and the equations of motion for laminated composite cylindrical shell containing fluid can be obtained [27].…”

Section: Equations Of Motionmentioning

confidence: 99%

“…Substituting (14) in Eqs. (6) and 7, a system of ordinary differential equations in the x-coordinate for the m th mode can be expressed in the matrix form for each circumferential mode m as [25][26][27][28]…”

Section: Strong Formulationmentioning

confidence: 99%

“…Toorani and Lakis [5] studied the effect of shear deformation in the dynamic behaviour of anisotropic laminated open cylindrical shells filled with fluid. Kochupillai, Ganesan and Padmanabhan [6] performed a dynamic analysis of composite shells conveying fluid based on semi-analytical coupled finite element formulation Larbi et al [7] presented the theoretical and finite element formulations of piezoelectric composite shells of revolution filled with compressible fluid A semi-analytical approach has been utilized by Toorani and Lakis [8] to determine the swelling effect on the dynamic behaviour of composite cylindrical shells conveying fluid. Tong [9,10] proposed the power series expansion approach to study the free vibration of orthotropic composite laminated conical shells.…”

Section: Introductionmentioning

confidence: 99%

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Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid

2016

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A new continuous element (CE) formulation has been presented in this paper for the vibration analysis of cross-ply composite joined conical-cylindrical-conical shells containing fluid. Governing equations are obtained using thick shell theory of Midlin, taking into account the shear deflection effects. The velocity potential, Bernoulli's equation and impermeability condition have been applied to the shell-fluid interface to obtain an explicit expression for fluid pressure. The dynamic stiffness matrix has been built from which natural frequencies have been calculated. The appropriate expressions among stress resultants and deformations are extracted as continuity conditions at the joining section. A matlab program is written using the CE formulation in order to validate our model. Numerical results on natural frequencies are compared to those obtained by the Finite Element Method and validated with the available results in other investigations. This paper emphasizes advantages of CE model, the effects of the fluid filling and shell geometries on the natural frequencies of joined composite conical-cylindrical-conical shells containing fluid.

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“…Substituting α = 0 in Eqs. (6) and 7, the forces-displacements relations and the equations of motion for laminated composite cylindrical shell containing fluid can be obtained [27].…”

Section: Equations Of Motionmentioning

confidence: 99%

Section: Strong Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid

2016

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“…A representative example is concerned with the laminated structures. An extensive research on dynamical behaviors of laminated pipes or cylindrical shells conveying fluid was performed by Chang and Chiou [15], Xi et al [16], Sharma et al [17], Toorani and Lakis [18], Kochupillai et al [19], Kadoli and Ganesan [20], Alijani and Amabili [21], and Ray and Reddy [22]. However as is known, there always exists a fatal flaw in laminated structures that the interface between layers may easily be subjected to cracks as the material property of a certain layer is different from that of adjacent ones.…”

Section: Introductionmentioning

confidence: 99%

Frequency Analysis of Functionally Graded Curved Pipes Conveying Fluid

Liang

Yang

Ridong

et al. 2016

Advances in Materials Science and Engineering

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The curved pipe made of functionally graded material conveying fluid is considered and the in-plane free vibration frequency of the resulting composite pipe is investigated. The material properties are assumed to distribute continuously along the pipe wall thickness according to a power law and the effective mass, flexural rigidity, and mass ratio are used in the governing equations. The natural frequencies are derived numerically by applying the modified inextensible theory. The lowest four natural frequencies are studied via the complex mode method, the validity of which is demonstrated by comparing the results with those in available literatures. A parametric sensitivity study is conducted by numerical examples and the results obtained reveal the significant effects of material distribution gradient index, flow velocity, fluid density, and opening angle on the natural frequencies of the FGM curved pipes conveying fluid.

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“…There is couple of papers solving vibration of arches, particularly the effect of sudden load impact. A coupled formulation based on the semi-analytical finite element technique is developed for composite arches conveying fluid is presented in paper [1].…”

Section: Introductionmentioning

confidence: 99%

Optimization of Eigenfrequencies of Pseudo 3d Composite

Procházka¹

2014

Proceedings of 10th World Congress on Computational Mechanics

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In this paper an optimization of laminated arches is solved under condition that generally anisotropic layers are considered and the design parameters of optimization are eigenparameters (intrinsic fields), either eigenstrains or eigenstresses. Mathematical apparatus is to be discussed and the formulas needed for programming on computers will be derived. The focus here is concentrated on problem of the response of harmonic load, which can be simulated by developing time coordinate into the Fourier series. The solution on separated coordinates of position is formulated for simply supported or clamped layered arch in cylindrical coordinates. The semi-analytic solution is used for simply supported arch in the position coordinates. The conditions being valid for clamped edges are taken from the well known Lechnitski's book on Theory of plates. The procedure used in the book enables us to solve the simply supported arch and by virtue of unit impulses of a slope at the supports to derive the solution for fixed ends. The boundary conditions are fulfilled by selections of sine or cosine series applied to different directions of displacements and eigenparameters. Then, the static case is described in each lamina separately and the overall relations are provided with fulfillment of interfacial conditions being valid on the interfaces of the adjacent laminas. Since the influence of inertia forces appear to be quite simple, the problem is focused on the separated static case (in the position coordinates). The formulation leads to the solution of a simultaneous system of ordinary differential equations, which are defined in one generic lamina. In our case harmonic load is discussed, as eigenfrequencies are of the main interest to us. The pseudo 3D formulation is based on generalized plain strain, so that also axial direction can be taken into account in the optimization. Examples are presented starting with twodimensional case, which is based on plain strain formulation, simplifying the general case.

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A Semi-Analytical Coupled Finite Element Formulation for Composite Shells Conveying Fluids

Cited by 22 publications

References 13 publications

Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid

Free vibration analysis of joined composite conical-cylindrical-conical shells containing fluid

Frequency Analysis of Functionally Graded Curved Pipes Conveying Fluid

Optimization of Eigenfrequencies of Pseudo 3d Composite

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