Fundamental frequency of the laminated composite cylindrical shell with clamped edges

Лопатин, А.В.; Морозов, Е.В.

doi:10.1016/j.ijmecsci.2014.11.020

Cited by 15 publications

(6 citation statements)

References 21 publications

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“…The solution of the bending problem for such a beam is presented by the authors in [23]. The similar approximation method was applied to the solution of the vibration problem for the laminated composite cylindrical shell with clamped edges [24]. Considering the above assumptions, the displacements, deflection and angles of rotation are approximated as follows:…”

Section: Solution Proceduresmentioning

confidence: 99%

Fundamental frequency of a sandwich cylindrical panel with clamped edges

Лопатин

Морозов

2019

Jnl of Sandwich Structures & Materials

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A novel solution of the free vibration problem formulated for a shallow sandwich cylindrical panel with fully clamped edges is presented in the paper. Based on this solution, an analytical formula for the fundamental frequency is derived. The panel vibrations are modelled using the engineering theory of laminated cylindrical shells taking into account the transverse shear deformations. The governing equations derived in terms of the panel displacements, deflections and angles of rotation of the normal element, are solved using the Galerkin method. The functions approximating the shape of the vibrating panel are obtained based on the analysis of the bending deformation of clamped–clamped sandwich beam subjected to a uniformly distributed inertial load. The analytical formula is applied to calculations of the fundamental frequencies for sandwich panels with various structural parameters. The results of these calculations have been successfully verified using the finite element method and implemented in the design analysis of sandwich panels considering a constraint imposed on the value of their fundamental frequency.

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Section: Solution Proceduresmentioning

confidence: 99%

Fundamental frequency of a sandwich cylindrical panel with clamped edges

Лопатин

Морозов

2019

Jnl of Sandwich Structures & Materials

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“…Sun et al [10] used Fourier series expansion method, which is derived by Stokes, transformation, to analyze the vibration characteristics of thin rotating cylindrical shells with several classical boundary conditions. Lopatin and Morozov [11] presented an analytical formula to calculate the fundamental frequencies for the laminated composite cylindrical shell with clamped edges based on the Fourier decomposition method. Wang et al [12] studied the vibration of a cantilever cylindrical shell suffered a moving harmonic excitation and the method of averaging was used to analyze the nonlinear traveling wave responses.…”

Section: Instructionmentioning

confidence: 99%

Nonlinear Dynamic Behavior Analysis of Pressure Thin-Wall Pipe Segment with Supported Clearance at Both Ends

Tang

Wen

2016

Mathematical Problems in Engineering

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An analysis of nonlinear behaviors of pressure thin-wall pipe segment with supported clearance at both ends was presented in this paper. The model of pressure thin-wall pipe segment with supported clearance was established by assuming the restraint condition as the work of springs in the deformation directions. Based on Sanders shell theory, Galerkin method was utilized to discretize the energy equations, external excitation, and nonlinear restraint forces. And the nonlinear governing equations of motion were derived by using Lagrange equation. The displacements in three directions were represented by the characteristic orthogonal polynomial series and trigonometric functions. The effects of supporting stiffness and supported clearance on dynamic behavior of pipe wall were discussed. The results show that the existence of supported clearance may lead to the changing of stiffness of the pipe vibration system and the dynamic behaviors of the pipe system show nonlinearity and become more complex; for example, the amplitude-frequency curve of the foundation frequency showed hard nonlinear phenomenon. The chaos and bifurcation may emerge at some region of the values of stiffness and clearance, which means that the responses of the pressure thin-wall pipe segment would be more complex, including periodic motion, times periodic motion, and quasiperiodic or chaotic motions.

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“…The result indicated that the different types of lay-up, properties of stiffeners, boundary conditions, and elastic foundation have significant effects on the fundamental frequency of laminated cylindrical shells. Lopatin and Morozov (2015), using Fourier and Galerkin methods, analyzed the free vibration of the laminated composite cylindrical shell with clamped edges. The result was calculated for various elastic and geometry parameters and compared with the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of porous laminated rotating circular cylindrical shells

Ghasemi

Meskini

2019

Journal of Vibration and Control

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In this research, investigations are presented of the free vibration of porous laminated rotating circular cylindrical shells based on Love’s shell theory with simply supported boundary conditions. The equilibrium equations for circular cylindrical shells are obtained using Hamilton’s principle. Also, Navier’s solution is used to solve the equations of the cylindrical shell due to the simply supported boundary conditions. The results are compared with previous results of other researchers. The numerical result of this study indicates that with increase of the porosity coefficient the nondimensional backward and forward frequency decreased. Then the results of the free vibration of rotating cylindrical shells are presented in terms of the effects of porous coefficients, porous type, length to radius ratio, rotating speed, and axial and circumferential wave numbers.

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Fundamental frequency of the laminated composite cylindrical shell with clamped edges

Cited by 15 publications

References 21 publications

Fundamental frequency of a sandwich cylindrical panel with clamped edges

Fundamental frequency of a sandwich cylindrical panel with clamped edges

Nonlinear Dynamic Behavior Analysis of Pressure Thin-Wall Pipe Segment with Supported Clearance at Both Ends

Free vibration analysis of porous laminated rotating circular cylindrical shells

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