A unified method for the vibration and damping analysis of constrained layer damping cylindrical shells with arbitrary boundary conditions

Jin, Guoyong; Yang, Chuanlei; Liu, Zhigang; Gao, Siyang; Zhang, Chunyu

doi:10.1016/j.compstruct.2015.04.017

Cited by 64 publications

(23 citation statements)

References 27 publications

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“…The boundaries of the elastically restrained shell are described by setting the values of translational springs and rotational spring, and the boundaries of cylindrical shells can be stated as follows (Jin et al, 2015;Jin et al, 2013):…”

Section: The Boundary Conditions At the Edgesmentioning

confidence: 99%

A semi-analytical method for the dynamic analysis of cylindrical shells with arbitrary boundaries

et al. 2019

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The dynamic behavior of cylindrical shells with arbitrary boundaries is studied in this paper. Love's shell theory and Hamilton's principle are employed to derive the motion equations for cylindrical shells. A semi-analytical methodology, which incorporates Durbin's inverse Laplace transform, differential quadrature method and Fourier series expansion technique, is proposed to investigate this phenomenon. The use of the differential quadrature method provides a solution in terms of the axial direction whereas the use of Durbin's numerical inversion method generates a solution in the time domain. Comparison of calculated frequency parameters to that derived from the literature illustrates the effectiveness of the method. Specifically, convergence tests indicate that the present approach has a rapid convergence, the time-history response and the Navier's solution are in great agreement. Comparisons between time-history responses derived by two shell theories show that the results fit well with each other when the thickness-radius ratios are small enough. An analysis of the influences of boundaries on the time-history response of cylindrical shells indicates that the peak displacement is closely related to the degrees of freedom of boundaries. The influences of the length-radius ratios and the thickness-radius ratios on the peak displacement are further investigated.

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Section: The Boundary Conditions At the Edgesmentioning

confidence: 99%

A semi-analytical method for the dynamic analysis of cylindrical shells with arbitrary boundaries

et al. 2019

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“…And at each point the restraint condition is represented as four sets of independent springs, including three sets of linear springs and one set of rotational springs, and different boundary conditions can be obtained by setting different spring stiffness. Jin et al [18][19][20] developed a series of methods to investigate free vibration of different cylindrical shells with general elastically restrained boundaries, such as composite laminated cylindrical shells and a three-layered passive constrained layer damping (PCLD) cylindrical shell, considering elastic restraints and intermediate ring supports. Qu et al [21] applied the method of domain decomposition to the analysis of cylindrical shells.…”

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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“…Based on the excellent convergence obtained from the modified Fourier series method together with Ritz method, it is widely used in various studies on vibrations of functionally graded circular, annular and sector plates and curved shells involving various complex boundary conditions [22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

An exact frequency analysis of annular plates with small core having elastically restrained outer edge and sliding inner edge

Rao

2016

Applied Acoustics

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A unified method for the vibration and damping analysis of constrained layer damping cylindrical shells with arbitrary boundary conditions

Cited by 64 publications

References 27 publications

A semi-analytical method for the dynamic analysis of cylindrical shells with arbitrary boundaries

A semi-analytical method for the dynamic analysis of cylindrical shells with arbitrary boundaries

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

An exact frequency analysis of annular plates with small core having elastically restrained outer edge and sliding inner edge

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