On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams

Tagrara, Samira Hassiba; Benachour, Abdelkader; Bouiadjra, Mohamed Bachir; Tounsi, Abdelouahed

doi:10.12989/scs.2015.19.5.1259

Cited by 61 publications

(24 citation statements)

References 64 publications

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“…(49) and (50) are employed to obtain the nonlinear frequency of the system as a function of the vibration amplitude. The dimensionless nonlinear frequency of the RVE versus amplitude of oscillation for different BCs is shown in Fig.…”

Section: 3mentioning

confidence: 99%

“…After calculating the elastic modulus of the considered sample in different directions or calculating the average modulus, the system behavior in terms of bending, buckling, natural frequencies and free and forced vibrations are investigated [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46]. Also in some studies the elastic foundation theory is used in modeling [47][48][49][50]. In addition, different theoretical approaches are used to extract mathematical equations in order to investigate the mechanical and vibration behavior of nanocomposites, particularly the functionally graded CNT-reinforced composite.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A study on nonlinear vibration behavior of CNT-based representative volume element

Jamal‐Omidi

ShayanMehr

Shokrollahi

et al. 2016

Aerospace Science and Technology

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Section: 3mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A study on nonlinear vibration behavior of CNT-based representative volume element

Jamal‐Omidi

ShayanMehr

Shokrollahi

et al. 2016

Aerospace Science and Technology

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“…Recently, using a powder metallurgy route, Kwon et al [5] successfully fabricated functionally graded CNT-reinforced aluminum matrix composites, which proved the feasibility of the concept of FG-CNTRCs. After the pioneering work of Shen, extensive investigations about FG-CNTRC beams, plates, and shells were carried out to explore their mechanical properties, such as static bending behaviors [6], elastic buckling and postbuckling characteristics [7][8][9][10], and linear and nonlinear free vibration features [11][12][13][14]. For more details, a comprehensive review on the mechanical analysis of FG-CNTRC structures has been presented by Liew et al [15].…”

Section: Introductionmentioning

confidence: 99%

Haar Wavelet Method for Nonlinear Vibration of Functionally Graded CNT‐Reinforced Composite Beams Resting on Nonlinear Elastic Foundations in Thermal Environment

Fan

Huang

2018

Shock and Vibration

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This paper presents a simple and effective approach based on the Haar wavelet discretization method (HWDM) for the nonlinear vibration analysis of carbon nanotube-reinforced composite (CNTRC) beams resting on a nonlinear elastic foundation in a thermal environment. Material properties are assumed to be functionally graded (FG) in the thickness direction and temperature-dependent and are evaluated through the extended rule of mixture. Based on the first-order shear deformation beam theory in conjunction with the von Kármán nonlinearity, the nonlinear governing equations of CNTRC beams on nonlinear elastic foundations are derived as well as the related boundary conditions. Moreover, the initial thermal stress due to uniform temperature rise is considered in this study. To evaluate the nonlinear natural frequencies, the obtained equations are discretized into a set of nonlinear algebraic equations through HWDM and then the direct iteration technique is employed to solve the resulting algebraic equations. The convergence and comparison studies are carried out, and the results indicate that the numerical rate of convergence of the proposed method is in agreement with the convergence theorem, and good accuracy of the present results is observed. Studies on the effects of different parameters such as CNT volume fraction, distribution type of CNTs, foundation stiffness coefficients, boundary condition, slenderness ratio, temperature rise, and initial thermal stress on the linear frequencies and the nonlinear frequency ratios are also reported. This study offers an insight into the vibration behaviors of CNTRC beams resting on nonlinear elastic foundation subjected to the uniform temperature rise.

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“…[29,30] In addition, the mechanical behavior of the CNT-reinforced structure also obtained based on few more analytical, numerical, and experimental methods assuming randomly oriented CNT [31,32] or align along the longitudinal axis. In addition to the above few more research articles are reported in the open literature by Tounsi and his co-authors [26,[43][44][45][46][47][48][49][50] related to the modification of established kinematic models and reduce the total number of unknowns from the final governing equation for the layered composite, functionally graded material and CNT-reinforced structures without hampering the accuracy of the final responses. In general, the functionally graded carbon nanotube (FG-CNT) study focused on the distribution of CNT volume fractions along the geometrical direction, i.e., in the thickness or the longitudinal direction based on different types of grading rule.…”

Section: Introductionmentioning

confidence: 99%

Elastic bending and stress analysis of carbon nanotube‐reinforced composite plate: Experimental, numerical, and simulation

Mehar

Panda

2017

Adv Polym Technol

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The deflection behavior of carbon nanotube-reinforced composite plate is investigated numerically using the finite-element method and the result accuracy is established via three-point experimental bending test data. The physical composite panel model is realized with the help of new mathematical model based on the higher order kinematic theory and the responses are computed using the in-house computer code in the MATLAB environment. Further, the efficacy of the current higher order finite-element model has been established by comparing the deflection responses with those of the references, simulation values (ANSYS), and the in-house experimentation including the experimental elastic properties. Finally, the effect of different design parameters,such as aspect ratio, thickness ratio, edge constraints including the types of load on the deflection and stress responses of the composite plate has been studied in detail. K E Y W O R D Scarbon nanotube, elastic bending, experimental mechanics, finite element method, higher order shear deformation theory, simulation

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On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams

Cited by 61 publications

References 64 publications

A study on nonlinear vibration behavior of CNT-based representative volume element

A study on nonlinear vibration behavior of CNT-based representative volume element

Haar Wavelet Method for Nonlinear Vibration of Functionally Graded CNT‐Reinforced Composite Beams Resting on Nonlinear Elastic Foundations in Thermal Environment

Elastic bending and stress analysis of carbon nanotube‐reinforced composite plate: Experimental, numerical, and simulation

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