Geometrically nonlinear vibration of laminated composite cylindrical thin shells with non-continuous elastic boundary conditions

Li, Chaofeng; Li, Peiyong; Zhong, Bingfu; Wen, Bangchun

doi:10.1007/s11071-018-4667-2

Cited by 59 publications

(6 citation statements)

References 31 publications

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“…However, up to now, there are few open articles found about the vibration of a single cylindrical shell considering the random problem about the bolted joints. Arbitrary and point support boundary condition was considered into the cylindrical shell to study uniformly and the non-uniformly supported cylindrical shell by Dai et al [8], Qin et al [9], Zhou et al [10], Chen et al [11], Xie et al [12] and Li et al [13]. For bolted joined cylindrical shell structure, some literatures have been reported.…”

Section: Introductionmentioning

confidence: 99%

Influence of Non-uniform Parameter of Bolt Joint on Complexity of Frequency Characteristics of Cylindrical Shell

Tang

She

et al. 2023

Chin. J. Mech. Eng.

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Bolt connection is one of the main fixing methods of cylindrical shell structures. A typical bolted connection model is considered as a tuned system. However, in the actual working conditions, due to the manufacturing error, installation error and uneven materials of bolts, there are always random errors between different bolts. To investigate the influence of non-uniform parameters of bolt joint, including the stiffness and the distribution position, on frequency complexity characteristics of cylindrical shell through a statistical method is the main aim of this paper. The bolted joints considered here were simplified as a series of springs with random features. The vibration equation of the bolted joined cylindrical shell was derived based on Sanders’ thin shell theory. The Monte Carlo simulation and statistical theory were applied to the statistical analysis of mode characteristics of the system. First, the frequency and mode shape of the tuned system were investigated and compared with FEM. Then, the effect of the random distribution and the random constraint stiffness of the bolts on the frequency and mode shape were studied. And the statistical analysis on the natural frequencies was evaluated for different mistuned levels. And some special cases were presented to help understand the effect of random mistuning. This research introduces random theory into the modeling of bolted joints and proposes a reference result to interpret the complexity of the modal characteristics of cylindrical shells with non-uniform parameters of bolt joints.

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Section: Introductionmentioning

confidence: 99%

Influence of Non-uniform Parameter of Bolt Joint on Complexity of Frequency Characteristics of Cylindrical Shell

Tang

She

et al. 2023

Chin. J. Mech. Eng.

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“…Via von Ka´rma´n strain-displacement theory, Wang et al (2019c) studied the nonlinear vibration of Graphene platelet (GPL) composite beam subjected to electrical loading. Using the Chebyshev polynomials Li et al (2019) presented the nonlinear forced vibration of composite cylindrical shells. Tang et al (2016) investigated the forced vibration of the cylindrical shell based on Sanders' shell theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration characteristic of a sandwich cylindrical panel with auxetic core and GPLRC facing sheets embedded with piezoelectric layers

Karimiasl

Alibeigloo

2022

Journal of Intelligent Material Systems and Structures

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This paper deals with the nonlinear vibration behavior of sandwich panels composed of Graphene platelet reinforced composite (GPLRC) skins and auxetic core embedded with piezoelectric layers subjected to the thermo-magneto-electric loading. The nonlinear equations are obtained by applying Hamilton’s principles in the framework of higher-order shear deformation theory (HSDT) and von Karman’s nonlinear theory. Linear and nonlinear equations of motion are solved by applying the differential quadrature method (DQM) and homotopy perturbation technique, respectively. In the numerical illustration, at first validation of the present formulation is carried out by comparing the numerical results with those available in the open literature. Then the effects of several parameters such as geometric parameters of auxetic core, applied voltage, magnetic potential, GPL volume fraction, different boundary conditions, and temperature rise on the nonlinear frequency response of sandwich panel are studied. From numerical results, it was concluded that the sandwich panel incorporating auxetic core and piezoelectric layers could increase the magneto-electrical power output.

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“…Xie et al [22] used the wave propagation method to study the free vibration and forced vibration of a non-uniform constrained cylindrical shell. Li et al [19,20] studied the geometrically nonlinear vibration of noncontinuous elastic-supported laminated composite cylindrical thin shells by extending a new arcssupported and points-supported shell model. Tang et al [23,24] considered the three contact states of bolted connection, including stick, slip and separation, and established a piecewise linear boundary analytical model of bolted cylindrical shells, and studied its dynamic characteristics.…”

Section: Introductionmentioning

confidence: 99%

“…appropriate admissible displacement functions[19], NT is the number of terms of the admissible displacement functions. ω is the natural frequency.sa , , , , , , q q q q are the generalized coordinates.…”

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confidence: 99%

Research on nonlinear vibration control of laminated cylindrical shells with discontinuous piezoelectric layer

Miao

2021

Nonlinear Dyn

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In this paper, the nonlinear vibration control of the piezoelectric laminated cylindrical shell with point supported elastic boundary condition is analyzed, in which the geometric nonlinearity is considered by the first-order shear nonlinear shell theory. In the model, different boundary conditions are simulated by introducing a series of artificial springs. The elastic-electrically coupled differential equations of piezoelectric laminated cylindrical shells are obtained based on the Chebyshev polynomials and Lagrange equation, and decoupled by using the negative velocity feedback adjustment. Later, the Incremental Harmonic Balance Method (IHBM) is deduced, and the frequencyamplitude response of the piezoelectric laminated cylindrical shell is obtained by IHBM. Finally, the influence of the constant gain, size and position of the piezoelectric layer on frequency-amplitude response are investigated. The results show that the position, size and constant gain of the piezoelectric layer have a significant influence on its nonlinear vibration control.

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Geometrically nonlinear vibration of laminated composite cylindrical thin shells with non-continuous elastic boundary conditions

Cited by 59 publications

References 31 publications

Influence of Non-uniform Parameter of Bolt Joint on Complexity of Frequency Characteristics of Cylindrical Shell

Influence of Non-uniform Parameter of Bolt Joint on Complexity of Frequency Characteristics of Cylindrical Shell

Nonlinear vibration characteristic of a sandwich cylindrical panel with auxetic core and GPLRC facing sheets embedded with piezoelectric layers

Research on nonlinear vibration control of laminated cylindrical shells with discontinuous piezoelectric layer

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