A unified power series method for vibration analysis of composite laminate conical, cylindrical shell and annular plate

He, Dongze; Shi, Dongyan; Wang, Qingshan; Ma, Chunlong

doi:10.1016/j.istruc.2020.11.016

Cited by 31 publications

(13 citation statements)

References 67 publications

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“…In the present study, the FSDT is employed for driving the equation of motion for the considered structures. According to FSDT, for any point within the shell, the displacement and rotation components of the reference plane can be written as follows [51,63,64,65]:…”

Section: Formulation For Analysismentioning

confidence: 99%

“…, x θ χχ and xθ χ are the curvature changes. The force and moment resultant relations to the strains in the middle surface and curvature changes are defined as in the matrix form [51,63,64,65…”

Section: Formulation For Analysismentioning

confidence: 99%

“…In the comparison study, the result by the proposed method are also consistent with that of literatures. [64] Ref. [66] Present Ref.…”

Section: Validationmentioning

confidence: 99%

“…[66] Present Ref. [64] Ref. [66] The main purpose of this paper is to analyze the free vibration of laminated composite structure with the varying thickness.…”

Section: Validationmentioning

confidence: 99%

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Free vibration analysis of laminated composite conical, cylindrical shell and annular plate with variable thickness and general boundary conditions

Kim

Kwak

et al. 2021

Preprint

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This paper presents a unified solution method to investigate the free vibration behaviors of laminated composite conical shell, cylindrical shell and annular plate with variable thickness and arbitrary boundary conditions using the Haar wavelet discretization method (HWDM). Theoretical formulation is established based on the first order shear deformation theory(FSDT) and displacement components are extended Haar wavelet series in the axis direction and trigonometric series in the circumferential direction. The constants generating by the integrating process are disposed by boundary conditions, and thus the equations of motion of total system including the boundary condition are transformed into an algebraic equations. Then natural frequencies of the laminated composite structures are directly obtained by solving these algebraic equations. Stability and accuracy of the present method are verified through convergence and validation studies. Effects of some material properties and geometric parameters on the free vibration of laminated composite shells are discussed and some related mode shapes are given. Some new results for laminated composite conical shell, cylindrical shell and annular plate with variable thickness and arbitrary boundary conditions are presented, which may serve as benchmark solutions.

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Section: Formulation For Analysismentioning

confidence: 99%

Section: Formulation For Analysismentioning

confidence: 99%

“…In the comparison study, the result by the proposed method are also consistent with that of literatures. [64] Ref. [66] Present Ref.…”

Section: Validationmentioning

confidence: 99%

“…[66] Present Ref. [64] Ref. [66] The main purpose of this paper is to analyze the free vibration of laminated composite structure with the varying thickness.…”

Section: Validationmentioning

confidence: 99%

See 2 more Smart Citations

Free vibration analysis of laminated composite conical, cylindrical shell and annular plate with variable thickness and general boundary conditions

Kim

Kwak

et al. 2021

Preprint

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show abstract

“…Kumar [31] carried out the experimental and numerical analysis of cantilever beams subjected to harmonic excitation to study the nonlinear dynamic response of the beams. The free vibration response of laminated composite conical/cylindrical shells and annular plate with a general edge constraint have been investigated by the power series method and wave-based matrix by He et al [32].…”

Section: Introductionmentioning

confidence: 99%

On the Large Amplitude Forced Vibration Analysis of Composite Sectorial Plates

et al. 2021

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The nonlinear steady state large amplitude forced vibration response of a laminated composite annular sector plate is presented. The nonlinear governing equation of motion of the laminated composite annular sector plate has been obtained using kinematics of first-order shear deformation theory (FSDT) and employing Hamilton’s principle. The governing equations of motion have been solved in a time domain using a modified shooting method and arc-length/pseudo-arc length continuation technique. The influence of the boundary condition, sector angle, and annularity ratio on the linear as well as nonlinear steady state forced vibration response has been investigated. The strain/stress variation across the thickness of the annular sector plate is presented to explain the reason for a decrease/increase in hardening nonlinear behaviour. The periodic variation of the non-linear steady state stress has also been obtained to throw light into the factors influencing the unequal stress half cycles and multiple cyclic stress reversals, which is detrimental to the fatigue design of laminated composite annular sectorial plates. The frequency spectra of the steady state stress reveals large even and odd higher harmonic contributions for different cases due to changes in the restoring force dynamics. The modal interaction/exchange during a cycle is demonstrated using a deformed configuration of the laminated annular sector plate.

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A Meshfree Approach for Dynamic Analysis of Sandwich Conical and Cylindrical Shells with Varying Thicknesses

Kwak,

Kim,

Yun

et al. 2024

Acta Mech. Solida Sin.

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A unified power series method for vibration analysis of composite laminate conical, cylindrical shell and annular plate

Cited by 31 publications

References 67 publications

Free vibration analysis of laminated composite conical, cylindrical shell and annular plate with variable thickness and general boundary conditions

Free vibration analysis of laminated composite conical, cylindrical shell and annular plate with variable thickness and general boundary conditions

On the Large Amplitude Forced Vibration Analysis of Composite Sectorial Plates

A Meshfree Approach for Dynamic Analysis of Sandwich Conical and Cylindrical Shells with Varying Thicknesses

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