Free vibration analysis of pretwisted delaminated composite stiffened shallow shells: A finite element approach

Rout, Mrutyunjay; Bandyopadhyay, Tanmoy; Karmakar, Amit

doi:10.1177/0731684416689726

Cited by 20 publications

(5 citation statements)

References 38 publications

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“…Their identical geometric parameters are: R s = 2m and L s = 5m. The material of the laminated shell is graphite-fiber-stiffened resin, with a laying angle of [0°/90°] [ 23 , 24 ]. In stiffened cylindrical shell, the number of curved beam is one, located at L s /2, and the material used is steel.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

The modeling method for vibration characteristics analysis of composite laminated rotationally stiffened shell

Shi,

Zhang,

Ding

et al. 2024

PLoS ONE

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The composite laminated rotationally stiffened shell is widely applied in aviation, aerospace, ship, machinery and other fields. To investigate the vibration characteristics of composite laminated rotationally stiffened shells with varying elastic boundary conditions, a modeling method of composite laminated rotationally stiffened shells is established. Firstly, the first-order shear deformation theory (FSDT) and the modified Fourier series method are effectively applied to establish the allowable displacement function of the composite laminated rotationally stiffened shell. Secondly, the energy function of composite laminated rotationally stiffened shell is established, and the simulation of complex elastic boundary and coupling boundary is realized by using artificial virtual spring technology. Thirdly, the Rayleigh-Ritz method is used to solve the energy function. Finally, the vibration characteristics of composite laminated rotationally stiffened shells are obtained and analyzed. In the analysis of numerical results, the fast and uniform convergence of analysis modeling and the accuracy of the calculated results are verified. On this basis, the effect of some important parameters such as thickness-to-radius ratio and length-to-radius ratio of shell, boundary spring stiffness values, cone apex angle, thickness and width of laminated beams, number of stiffeners on the vibration characteristics of composite laminated rotationally stiffened shell is studied. In theory, it makes up for the vibration characteristics analysis of composite laminated rotationally stiffened shells. In practical application, it guides the noise reduction design of related structures.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

The modeling method for vibration characteristics analysis of composite laminated rotationally stiffened shell

Shi,

Zhang,

Ding

et al. 2024

PLoS ONE

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“…The above equation (37) is solved iteratively to find the natural frequency of the system. 32–35 It is observed that after three iterations the result converges. The natural frequencies (ωn) are computed by using standard Eigen value solver algorithm.…”

Section: Hybrid Cnt Nanocompositementioning

confidence: 90%

“…While, using three dimensional modelling of composite blades, the free vibration study was reported by McGee and Chu 31 considering centrifugal effect of the blade. Rout et al also did several investigations on the free vibration of different rotating structures; such as composite stiffened shallow shells considering delamination, 32 pretwisted stiffened cylindrical shell 33 and stiffened plate. 34 Recently, Maji et al 35 conducted the free vibration analysis of rotating functionally graded carbon nanotube reinforced composite conical shell under varying thermal loading conditions employing finite element method.…”

Section: Introductionmentioning

confidence: 99%

A solution for free vibration of rotating hybrid multiscale nanocomposite conical shell

Banerjee¹,

Rout

Karmakar

et al. 2022

Noise & Vibration Worldwide

Self Cite

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In the present investigation, first-order shear deformation theory (FSDT) is employed to conduct free vibration analysis of hybrid CNT-fiber nanocomposite conical shells using finite element approach. The effective material properties of this three phase nanocomposite is computed using Halpin- Tsai and Micro-mechanics model approach. The Lagrange’s equation of motion is used to derive the equilibrium equations of the rotating carbon nanotube – fibre nanocomposite conical shell wherein the nonlinearity due to rotation is also introduced. The Coriolis effect is neglected because of the moderate rotational speed of the shell. Finite element code is developed using eight noded isoparametric shell element and the same is validated with some literature to analyse the effect of twist angle, length to thickness ratio, aspect ratio, weight fraction of CNTs, and rotational speed on the fundamental frequency. The effect of such parameter on the mode shapes of the three phase nanocomposite shell are also presented here.

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“…al. [39] carried out finite element analysis using first order shear deformation theory for the composite delaminated shallow cylindrical shells.…”

Section: Finite Element Methodsmentioning

confidence: 99%

Vibration Analysis of Cracked Composite Laminated Plate: A Review

Imran

Badshah

Khan³

2019

Mehran Univ. res. j. eng. technol.

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Composites are one of the rapidly consuming materials due to their utmost attractive applications ranging from the aerospace to the agricultural products. The composite structures usually experience vibration during service. Experiments showed that presence of delamination in composite structures is one of the major causes of failures in laminated structures. Presence of delamination in a structure not only significantly impacts the stiffness of the structure with declining trends but also affect their vibration properties. The purpose of this paper is to review the literature studies on the effect of vibration on composite delaminated structures subjected to different boundary conditions. The literature studies have been classified on the basis of methodology adapted to analyze the problem i.e experimental work, analytical approaches and finite element methods. In this review particular attention has been given to the study of results attained from the analytical analysis, finite element and experimental works. Comparison of the results conducted by other researchers in the field of the free and forced vibration behavior of the composite laminates subjected to delamination or cracked structures has also been studied. Studies have shown that the location and size of delamination in composite structures significantly impacted the natural frequencies and mode shapes.

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Free vibration analysis of pretwisted delaminated composite stiffened shallow shells: A finite element approach

Cited by 20 publications

References 38 publications

The modeling method for vibration characteristics analysis of composite laminated rotationally stiffened shell

The modeling method for vibration characteristics analysis of composite laminated rotationally stiffened shell

A solution for free vibration of rotating hybrid multiscale nanocomposite conical shell

Vibration Analysis of Cracked Composite Laminated Plate: A Review

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