Sensitivity on the non-continuous supported laminated cylindrical shell to boundary conditions and lamination schemes

Li, Peiyong; Li, Chaofeng; Qiao, Ruihuan; Wen, Bangchun

doi:10.1007/s00419-019-01574-5

Cited by 15 publications

(3 citation statements)

References 22 publications

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“…The potential energy spr U introduced by the elastic boundary springs can be calculated as follows [25]  …”

Section: The Potential Energy Of the Boundary Springsmentioning

confidence: 99%

“…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. Li et al [25] presented a model of laminated composited cylindrical shells with arc supported and point supported elastic boundary condition based on Donnell's shell theory, the Chebyshev polynomials and the Lagrange equation.…”

Section: Introductionmentioning

confidence: 99%

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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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“…The potential energy spr U introduced by the elastic boundary springs can be calculated as follows [25]  …”

Section: The Potential Energy Of the Boundary Springsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Miao

2021

Nonlinear Dyn

Self Cite

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show abstract

“…Tang et al [19] used artificial spring technology to study the coupling vibration of a rotating-flexible disk–drum structure with non-continuous connections. Li et al [20] presented a model of laminated composited cylindrical shells with arc supported and point supported elastic boundary conditions based on the Donnell’s shell theory, the Chebyshev polynomials, and the Lagrange equation.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of three-layer thin cylindrical shell with variable thickness two-dimensional FGM middle layer under arbitrary boundary conditions

Miao

Jiang

et al. 2021

Jnl of Sandwich Structures & Materials

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In this paper, a unified method is developed to analyze free vibrations of the three-layer functionally graded cylindrical shell with non-uniform thickness. The middle layer is composed of two-dimensional functionally gradient materials (2D-FGMs), whose thickness is set as a function of smooth continuity. Four sets of artificial springs are assigned at the ends of the shells to satisfy the arbitrary boundary conditions. The Sanders’ shell theory is used to obtain the strain and curvature-displacement relations. Furthermore, the Chebyshev polynomials are selected as the admissible function to improve computational efficiency, and the equation of motion is derived by the Rayleigh–Ritz method. The effects of spring stiffness, volume fraction indexes, configuration on of shell, and the change in thickness of the middle layer on the modal characteristics of the new structural shell are also analyzed.

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Comparative analysis and determination of applicable range for free vibration of laminated cylindrical shells considering multiple shell theories and nine boundary conditions

Pan,

Wu,

et al. 2024

Arch Appl Mech

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Sensitivity on the non-continuous supported laminated cylindrical shell to boundary conditions and lamination schemes

Cited by 15 publications

References 22 publications

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

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

Free vibration analysis of three-layer thin cylindrical shell with variable thickness two-dimensional FGM middle layer under arbitrary boundary conditions

Comparative analysis and determination of applicable range for free vibration of laminated cylindrical shells considering multiple shell theories and nine boundary conditions

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