Size‐dependent vibration of double‐bonded carbon nanotube‐reinforced composite microtubes conveying fluid under longitudinal magnetic field

In the present research, vibration and instability of axially moving carbon nanotube–reinforced composite (CNTRC) plate under initial tension is investigated. Single‐walled carbon nanotubes (SWCNTs) are selected as a reinforcement inside polymethyl methacrylate (PMMA) matrix. Higher order shear deformation theory (HSDT) is used because of its accuracy of polynomial functions than other plate theories. Based on extended rule of mixture, the structural properties of composite plate are taken into consideration. The equations of motion are obtained using Hamilton's principle and solved by hybrid analytical–numerical solution in different boundary conditions. Influences of various parameters such as axially moving speed, volume fraction of CNTs, pre‐tension, thickness, and aspect ratio on the vibration characteristics of moving composite plate are discussed in detail. The results indicated that the critical speed of moving composite plate is strongly dependent on the volume fraction of CNTs. Therefore, the critical speed of moving plate can be improved by adding appropriate values of CNTs. The results of this investigation can be used in design and manufacturing of marine vessels and aircrafts. POLYM. COMPOS., 38:814–822, 2017. © 2015 Society of Plastics Engineers

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“…The potential energy due to bending can be written as :

U_{b} = \int_{- \frac{h}{2}}^{\frac{h}{2}} true \int_{0}^{b} \int_{0}^{a} false(σ_{i j} ε_{i j} false) d x d y d z = \frac{1}{2} \int_{- \frac{h}{2}}^{\frac{h}{2}} true \int_{0}^{b} \int_{0}^{a} (σ_{x x} ε_{x x} + σ_{y y} ε_{y y} + τ_{x y} γ_{x y} + τ_{x z} γ_{x z} + τ_{y z} γ_{y z}) d x d y d z .

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Section: Potential Energy Of Axially Moving Cntrc Platementioning

confidence: 99%

Vibration analysis of axially moving carbon nanotube–reinforced composite plate under initial tension

Arani

Haghparast

2015

Polymer Composites

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“…Problems of thermal stress analysis, dynamic responses and vibrations of FG‐CNTRC plates and cylindrical panels were performed by different methods and theories, and the significant effects of CNT on the mechanical behavior of structures were verified 15,19–27 . The vibration behavior of double‐bonded CNT‐reinforced microtubes conveying fluid was investigated with the longitudinal magnetic field, considering the visco‐Pasternak model 28 …”

Section: Introductionmentioning

confidence: 99%

“…15,[19][20][21][22][23][24][25][26][27] The vibration behavior of double-bonded CNT-reinforced microtubes conveying fluid was investigated with the longitudinal magnetic field, considering the visco-Pasternak model. 28 Graphene is a hexagonal layer of single carbon atoms bonded together. At the nanoscale, graphene has many applications in engineering nanostructures.…”

Section: Introductionmentioning

confidence: 99%

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

Nam,

Van Doan,

Phuong

2023

Polymer Composites

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This paper presents and analyzes the nonlinear buckling responses of three types of shallow imperfect panels (cylindrical panel, parabolic panel, and half‐sinusoid panel) made from functionally graded graphene reinforced composite (FG‐GRC) on nonlinear elastic foundations subjected to axial compressive load in thermal environments. The nonlinear governing equations are formulated on Reddy's higher‐order shear deformation shell theory (HSDST) and take into account von Karman‐type nonlinearity. A new approximation technique to determine the stress function in average sense is developed and Galerkin's method is used to obtain the algebraically nonlinear equation system. Then, the simple calculation process can be used to solve the obtained equation systems, and the formulations to calculate the critical buckling loads and postbuckling load‐deflection curves are expressed in explicit form. The results can be flexibly applied to FG‐GRC panels with different curvatures in engineering designs. The effects of panel types, geometrical parameters, temperature increase, initial imperfection, and nonlinear elastic foundations on the critical buckling loads and postbuckling curves of cylindrical, parabolic, and half‐sinusoid FG‐GRC panels are discussed in numerical results. Numerical results also show a small disadvantage in the load‐carrying capacity of cylindrical panels compared to parabolic panels and half‐sinusoid shallow panels.Highlights Postbuckling of cylindrical, parabolic, and half‐sinusoid panels are studied. The panels are made of functionally graded graphene reinforced composite. Reddy's higher‐order shear deformation shell theory is applied. A new approximation technique to determine the stress function is developed. Critical buckling loads and postbuckling expressions are explicitly obtained.

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“…In addition to mechanical properties studies, hybrid composites must also examine their dynamic response to ensure their safety in use. Several researchers [42][43][44][45][46][47] have used analytical and numerical approaches to perform vibrational analysis on composites, and a few researchers 48,49 have investigated the hybrid composites' mechanical and free vibrational studies using experimental methods. Thus, alkali-treated hybrid composite's free vibration studies and mechanical characteristics are vital to examine.…”

Section: Introductionmentioning

confidence: 99%

Mechanical and vibrational study of raw and surface‐treated ramie fiber hybridized carbon fiber epoxy composites

Samuel,

Issac Selvaraj

2023

Polymer Composites

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Hybrid polymer composites' lightweight, biodegradability, damping, and cost‐effectiveness have made them popular in recent decades. This study evaluated the raw and alkali‐treated hybrid composite's free vibration studies and mechanical properties by changing the ramie fiber layers (core) from two to four and keeping the carbon fiber layers (top and bottom) constant. Thus, to enhance the mechanical properties, the ramie fiber was treated prior with 2, 3, and 4 wt% of sodium hydroxide (NaOH). These composites were characterized chemically, mechanically, morphologically, and vibrationally via Fourier transform infrared spectroscopy, flexural and tensile tests, field emission scanning electron microscope, and free vibration setup, respectively. The tensile and flexural samples were loaded under quasistatic conditions and tested at 1 and 2 mm/min to evaluate tensile and flexural properties, respectively, and a free vibration test built the natural frequencies and reliable damping factor using clamped‐clamped and clamped‐free boundary conditions. Two layers of carbon fiber (exterior layer) and two layers of ramie fiber (core layer) at 3 wt% NaOH produced maximum tensile strength (523 MPa) and flexural modulus (68,869 MPa) among natural and hybrid composite combinations. This study shows that hybridization and alkaline treatment improve composite material mechanical properties in a specific ratio.Highlights Mechanical and vibration analysis of carbon/ramie hybrid composites was studied. Ramie fiber's surface treatment was carried out in NaOH at 2, 3, and 4 wt%. Surface treatment uplifts mechanical and vibration properties than untreated. Ramie fiber's chemical consequences were analyzed through Fourier transform infrared spectroscopy and field emission scanning electron microscope tests. Surface treatment at 3 wt% builds higher mechanical and vibrational properties.

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Size‐dependent vibration of double‐bonded carbon nanotube‐reinforced composite microtubes conveying fluid under longitudinal magnetic field

Cited by 30 publications

References 25 publications

Vibration analysis of axially moving carbon nanotube–reinforced composite plate under initial tension

Vibration analysis of axially moving carbon nanotube–reinforced composite plate under initial tension

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

Mechanical and vibrational study of raw and surface‐treated ramie fiber hybridized carbon fiber epoxy composites

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