Effects of Boundary Conditions on Frequencies of a Multi-Layered Cylindrical Shell

Lam, K.Y.; Loy, C.T.

doi:10.1006/jsvi.1995.0599

Cited by 111 publications

(61 citation statements)

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“…The right axial wavenumber k K must be chosen to satisfy the required boundary conditions at the two ends of the cylindrical shell, for the frequency of the shell to be obtained from equation (7). In this analysis, the wave travelling in the axial direction of the shell is simply obtained by studying the wave travelling in a similar beam.…”

Section: Methodsmentioning

confidence: 99%

“…These methods range from energy methods based on the Rayleigh}Ritz procedure to analytical methods in which, respectively, closed-form solutions of the governing equations and iterative solution approaches were used [3}6]. Lam and Loy [7] used beam functions as the axial modal functions in the Ritz procedure to study the e!ects of boundary conditions on the free vibration characteristics for a multi-layered cylindrical shell with nine di!erent boundary conditions. Loy et al [8] applied the generalized di!erential quadrature (GDQ) method for solving the vibration of cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

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Vibration Analysis of Thin Cylindrical Shells Using Wave Propagation Approach

Zhang¹,

Liu²,

Lam³

2001

Journal of Sound and Vibration

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187

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Thin Cylindrical Shells Using Wave Propagation Approach

Zhang¹,

Liu²,

Lam³

2001

Journal of Sound and Vibration

Self Cite

187

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“…Thus, ε 0 x , ε 0 θ , ε 0 xθ and κx, κθ, κxθ, the strains and bending strains of the middle surface, can be given as follows [25]: …”

Section: Love's First Approximation Theorymentioning

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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“…Arshad et al [10] modified the polynomial volume fraction law (20) and framed it in the exponential expression as: …”

Section: Exponential Volume Fraction Lawmentioning

confidence: 99%

“…They used the higher ordered theory for shell deformation with the use of energy Hamilton's principle to obtain the shell dynamical equations. The vibration of cylindrical shells which are containing FGM was observed by Lam et al [20]. Their purpose was to check the effect of FGM on vibration characteristics of the shells.…”

Section: Introductionmentioning

confidence: 99%

On Vibration of Three-Layered Cylindrical Shell with Functionally Graded Middle Layer

Bhutta¹

2015

AJAM

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Abstract:In the current analysis vibration characteristics of a cylindrical shell composed of three layers are examined.Vibration of cylindrical shells is accomplished for their involvement in various areas of engineering and technology. Shell vibration behavior depends upon on different geometrical material parameters and material parameters. They provide the maximum stability of a physical system. There is graduation distribution of constituent materials in functionally graded materials and is controlled by polynomial, exponential and trigonometric volume exponent fraction laws. In the present study a cylindrical shell is composed of three layers whereas the middle layer consists of functionally graded material and the extreme layer are of isotropic nature. Material composition of the FG layer is governed by polynomial, exponential and trigonometric volume fraction exponent laws. Impact of these laws is examined on shell vibration frequencies for different physical parameters. Love's thin shell theory is adopted for shell motion equations. The vibration of cylindrical shells with FGM will be expressed by using the Raleigh-Ritz technique in this method. Three volume fraction laws are used to define the middle layer of tri-layer cylindrical shells. The Rayleigh-Ritz technique is applied to form the shell frequency equation which is solved by MATLAB software. The validity and accuracy of this method is investigated for a number of comparisons of numerical results.

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Effects of Boundary Conditions on Frequencies of a Multi-Layered Cylindrical Shell

Cited by 111 publications

References 0 publications

Vibration Analysis of Thin Cylindrical Shells Using Wave Propagation Approach

Vibration Analysis of Thin Cylindrical Shells Using Wave Propagation Approach

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

On Vibration of Three-Layered Cylindrical Shell with Functionally Graded Middle Layer

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