Free vibration response of carbon nanotube reinforced pretwisted conical shell under thermal environment

Maji, Pabitra; Rout, Mrutyunjay; Karmakar, Amit

doi:10.1177/0954406219886325

Cited by 23 publications

(16 citation statements)

References 42 publications

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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: 91%

“…The formulation for obtaining the varying radius of curvature (Ry) of the conical shell in the co-ordinate system is explained in Maji et al 35 The present investigation is carried out on both the pretwisted and untwisted conical shell geometry. The z-coordinate of the conical shallow shell can be defined as…”

Section: Theoretical Formulationmentioning

confidence: 99%

“…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. Rout et al 36 also reported the time variant response of the carbon nanotube reinforced composites (CNTRC) plate subjected to low velocity impact and studied the time variant response of the material under various boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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

Banerjee¹,

Rout

Karmakar

et al. 2022

Noise & Vibration Worldwide

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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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Section: Hybrid Cnt Nanocompositementioning

confidence: 91%

Section: Theoretical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Banerjee¹,

Rout

Karmakar

et al. 2022

Noise & Vibration Worldwide

Self Cite

View full text Add to dashboard Cite

show abstract

“…In this investigation, first-order shear deformation theory was used and the effects of temperature as well as the arrangement of the various carbon nanotube on the natural frequencies were investigated. Maji et al 14 studied free vibration analysis of a carbon nanotube conical shell subjected to temperature changes. In this investigation, a numerical study based on the finite element method was introduced to calculate the natural frequency of the shell.…”

Section: Introductionmentioning

confidence: 99%

Stress distribution of a cylindrical sandwich sector with FG-CNT core and piezoelectric face sheets subjected to low-velocity impact

Raissi

2022

Proceedings of the Institution of Mechanical Engineers, Part E:

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A new theoretical solution based on Layerwise theory is presented to determine the stress distribution in a simply-supported cylindrical sandwich sector with a functionally graded carbon nanotube core and piezoelectric face sheets subjected to low-velocity impact. The spherical elastic ball hits the top face sheet of the sector at an initial velocity of 50 m/s. The classical non-adhesive elastic contact theory and Hunter's relationship were used to determine the normal contact pressure distribution in terms of time and distance of the contact location. Moreover, Hamilton's principle and Maxwell's static equation were used to obtain the nineteen equations of motion. The numerical code was written to solve these nonlinear equations and the stress components in each layer were calculated in terms of time. In addition, it was assumed that the out-of-shell displacement of the sector at each layer is a quadratic polynomial function of the radial component in addition to a function of the coordinate components within the shell. Due to this assumption, the normal out-of-shell strain is not only zero, or not even a constant, but it changes in the form of a linear function along with the thickness of each layer.

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“…Maji et al. 37 studied the free vibration behavior of pre-twisted conical shells made of nanocomposite subjected to thermal load using the finite element method. Nguyen et al.…”

Section: Introductionmentioning

confidence: 99%

Modal analysis of cylindrical panels at elevated temperatures under nonuniform heating conditions: Experimental investigation

Twinkle

Nithun

Pitchaimani

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, experimental investigations carried out to analyze the influences of different in-plane temperature variations on buckling and free vibration responses of metal and fiber-reinforced laminated composite cylindrical panels are presented. Initially, critical buckling temperature is calculated then free vibration analysis is performed as a function of the buckling temperature to analyze the changes in the natural frequencies and mode shapes. Experimental results revealed that the thermal buckling strength of the panel is significantly influenced by the nature of the heating condition. Similarly, significant changes in free vibration mode shapes are observed with the rise in temperature and also according to the heating conditions. It is also observed that, with the increase in temperature, nodal and anti-nodal lines of free vibration modes shifting towards the heating source. The experimental results are compared with the numerical simulation for the studies on the isotropic cylindrical panel and both the results are in good agreement.

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Free vibration response of carbon nanotube reinforced pretwisted conical shell under thermal environment

Cited by 23 publications

References 42 publications

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

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

Stress distribution of a cylindrical sandwich sector with FG-CNT core and piezoelectric face sheets subjected to low-velocity impact

Modal analysis of cylindrical panels at elevated temperatures under nonuniform heating conditions: Experimental investigation

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