Traveling wave analysis of rotating cross-ply laminated cylindrical shells with arbitrary boundaries conditions via Rayleigh–Ritz method

Song, Xin; Zhai, Jingyu; Chen, Yugang; Han, Qunying

doi:10.1016/j.compstruct.2015.08.015

Cited by 54 publications

(16 citation statements)

References 51 publications

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“…Based on the above energy expressions, the Lagrangian function of rotating laminated cylindrical, conical and spherical shells with general elastically boundary conditions can be expressed as follows [9]:…”

Section: Solution Methodsmentioning

confidence: 99%

“…Daneshjou and Talebitooti [8] studied the free vibration of rotating stiffened composite cylindrical shells using layerwise-differential quadrature (LW-DQ) method. Song et al [9] applied the Rayleigh-Ritz method to study the traveling wave of rotating cross-ply laminated cylindrical shells with arbitrary boundary conditions. Cai [10] studied the free vibration of truncated conical shells using discrete variable method.…”

Section: Introductionmentioning

confidence: 99%

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Vibration analysis of rotating cross-ply laminated cylindrical, conical and spherical shells by using weak-form differential quadrature method

Han¹,

Ri²,

Choe³

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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In this article, the weak-form differential quadrature method is adopted to analyze the vibration characteristics of rotating laminated thin shells with arbitrary boundary conditions. Firstly, based on the Reissner-Naghdi's linear shell theory, the energy expression of rotating laminated cylindrical, conical and spherical shells is established. The arbitrary boundary conditions are simulated equivalently by introducing the boundary spring. According to the energy method, the numerical differentiation and numerical integration techniques of the differential quadrature method are combined into the Ritz method, where the admissible function is not introduced in the whole solution process, so to obtain the displacement of any point in the element, it is necessary to use the polynomial to approximate the admissible function of shell. In this paper, the Lagrangian interpolation polynomials are used. The correctness of the current solution model is fully proved by a series of numerical examples. On this basis, the vibration characteristics of rotating cross-ply laminated cylindrical, conical and spherical shells under elastic boundary conditions are further studied.

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Section: Solution Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibration analysis of rotating cross-ply laminated cylindrical, conical and spherical shells by using weak-form differential quadrature method

Han¹,

Ri²,

Choe³

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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show abstract

“…The frequencies and modes of the corresponding linear cylindrical shell are obtained first for the purpose of the model reduction in the following formulation. For the travelling wave vibration mode with number ( , , ̸ = 0), the displacement field expressed in (16) can be rewritten in general form…”

Section: Frequencies and Modes Of The Corresponding Linearmentioning

confidence: 99%

“…For the travelling wave vibration mode (m, n=0), the displacement field expressed in (16) can be rewritten in general form…”

Section: Frequencies and Modes Of The Corresponding Linearmentioning

confidence: 99%

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Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells

Sun

Liu

2019

Complexity

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properly cited.Nonlinear dynamic modeling and model reduction strategy are studied in this paper for a rotating thin cylindrical shell. The nonlinear dynamic model is first established in terms of ordinary differential equations, in which the effects of Coriolis and centrifugal forces are considered, as well as the initial hoop tension due to rotation. This model describes both the in-plane vibrations and the flexural vibration and reflects the coupling effects of those deformations. Based on this original model, a novel model reduction strategy is proposed to reduce the degrees of freedom by neglecting vibration modes predominated by in-plane vibrations. Meanwhile, for the reduced-order model, the in-plane vibrations' contributions to the rotating shell's response are still preserved. To validate the dynamic model and the model reduction strategy, comparisons and simulations are carried out. Subsequently, nonlinear dynamic behaviors are investigated preliminarily by analyzing the rotating cylindrical shell's amplitude-frequency responses under different excitation levels.

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

Qiao

et al. 2019

Arch Appl Mech

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Traveling wave analysis of rotating cross-ply laminated cylindrical shells with arbitrary boundaries conditions via Rayleigh–Ritz method

Cited by 54 publications

References 51 publications

Vibration analysis of rotating cross-ply laminated cylindrical, conical and spherical shells by using weak-form differential quadrature method

Vibration analysis of rotating cross-ply laminated cylindrical, conical and spherical shells by using weak-form differential quadrature method

Nonlinear Dynamic Modeling and Model Reduction Strategy for Rotating Thin Cylindrical Shells

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

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