Nonlinear static and vibration analysis of Euler-Bernoulli composite beam model reinforced by FG-SWCNT with initial geometrical imperfection using FEM

Mohammadimehr, Mehdi; Alimirzaei, Sajad

doi:10.12989/sem.2016.59.3.431

Cited by 25 publications

(7 citation statements)

References 23 publications

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“…Mohammadimehr and Alimirzaei [3] investigated the nonlinear static and free vibration behaviors of a Euler‐Bernoulli composite beam, reinforced with functionally graded single‐walled carbon nanotubes (FG‐SWCNTs) and subject to initial geometrical imperfections, under uniformly distributed load. The governing equilibrium equations in finite element method (FEM), were derived using Hamilton's principle, integrating von Karman's nonlinear strain‐displacement relationships.…”

Section: Introductionmentioning

confidence: 99%

Thermal vibration of armchair, chiral, and zigzag types of single walled carbon nanotubes using a nonlocal elasticity theory: An analytical approach

Jena,

Pradyumna,

Chakraverty

2024

Z Angew Math Mech

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This research delves into the study of thermal vibration characteristics exhibited by three distinct types of Single‐Walled Carbon Nanotubes (SWCNTs): armchair, chiral, and zigzag configurations. The investigation is carried out using Navier's technique, which integrates a non‐local elasticity theory and Euler‐Bernoulli beam theory, providing a comprehensive understanding of carbon nanotubes (CNT) behavior under varying temperature conditions. To explore these characteristics, governing equations for vibrations are derived based on Hamilton's principle, incorporating both non‐local stress resultants. These equations are instrumental in computing the natural frequencies of Hinged‐Hinged (HH) SWCNTs subjected to low (room) and high‐temperature conditions. A detailed exploration is conducted to evaluate the influence of several key scaling parameters. These parameters encompass small‐scale effects, temperature variations, the thermal environment, and the length‑to‑thickness ratio of the CNTs, scrutinizing their impact on the first and second mode natural frequencies. This comprehensive assessment sheds light on the multifaceted interplay between these factors and the resulting vibration behaviors in SWCNTs.

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Section: Introductionmentioning

confidence: 99%

Thermal vibration of armchair, chiral, and zigzag types of single walled carbon nanotubes using a nonlocal elasticity theory: An analytical approach

Jena,

Pradyumna,

Chakraverty

2024

Z Angew Math Mech

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“…Ghorbanpour Arani et al (2016) presented the surface stress and agglomeration effects on nonlocal biaxial buckling polymeric nanocomposite plate reinforced by carbon nanotube (CNT) using various approaches. Mohammadimehr and Alimirzaei (2016) considered nonlinear static and vibration analysis of Euler–Bernoulli composite beam model reinforced by functionally graded single-wall carbon nanotube with initial geometrical imperfection using FEM. Mohammadimehr et al (2017) illustrated nonlinear vibration analysis of functionally graded carbon-nanotube-reinforced composite sandwich Timoshenko beam based on modified couple stress theory (MCST) subjected to longitudinal magnetic field using generalized differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Vibration behavior of a micro cylindrical sandwich panel reinforced by graphene platelet

Anvari

Mohammadimehr

Amiri

2020

Journal of Vibration and Control

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In this article, vibration behavior of a micro cylindrical sandwich panel with foam core and reinforced graphene platelet composite layers on the top and bottom resting on elastic foundation based on modified couple stress theory is investigated. Hamilton’s principle is used to determine the governing equations of motion. These equations are solved by Navier’s method to obtain the natural frequencies. The results are compared with the extracted results by the other literatures. The effects of different parameters such as temperature change, volume fraction of graphene platelet, length to radius ratio, and the elastic foundation on the natural frequencies have been carried out. Also, the effects of reinforced materials for layers is discussed and compared with unreinforced composites layers. Sandwich structures are wildly used in different applications such as spacecraft, aeronautical, pressurized gas tanks, boilers, aircraft fuselage, marines, and civil structures, and these cases need high strength and low weight. The present work is a theoretical background for more explorations and further experimental researchers in the field of cylindrical reinforced panels.

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“…Ansari et al (2014) investigated size-dependent vibrational behavior of functionally graded (FG) Mindlin microplates. Using initial geometrical imperfection and finite element method, Mohammadimehr and Alimirzaei (2016) analyzed nonlinear vibration of the composite beam model reinforced by functionally graded carbon nanotube (FG-CNT). Chen et al (2016) investigated the nonlinear free vibration behavior of the shear deformable sandwich porous beam based on the Timoshenko beam theory.…”

Section: Introductionmentioning

confidence: 99%

Vibration control of sandwich plate–reinforced nanocomposite face sheet and porous core integrated with sensor and actuator layers using perturbation method

Rostami

Mohammadimehr

2020

Journal of Vibration and Control

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In this article, the vibration control of the sandwich plate reinforced by carbon nanotube in the face sheet and porous core integrated with sensor and actuator layers is investigated. The piezoelectric layers at the bottom and top surfaces of the sandwich plate play the role of the sensor and actuator. By applying the Hamilton’s principle, the governing equations of the structure are derived based on the first-order shear deformation theory. The perturbation method is used to find the relationships between nonlinear frequency and amplitude response of the sandwich plate. The effect of porosity coefficient, temperature, volume fraction of carbon nanotube, and geometric parameters on nonlinear frequency and vibration control of the sandwich plate is studied. Moreover, the influence of material type of sensor and actuator and scale transformation parameter on the nonlinear frequency and vibration control of the system is investigated. According to the obtained results, in the case of ε < 0, the system stiffness presents softening behavior, whereas in the case of ε > 0, the system stiffness becomes hardening. By considering the effect of the voltage coefficient on the vibration control and the needed time for stabilization, the results of this article can be used to design, manufacture, and control modern structures.

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Nonlinear static and vibration analysis of Euler-Bernoulli composite beam model reinforced by FG-SWCNT with initial geometrical imperfection using FEM

Cited by 25 publications

References 23 publications

Thermal vibration of armchair, chiral, and zigzag types of single walled carbon nanotubes using a nonlocal elasticity theory: An analytical approach

Thermal vibration of armchair, chiral, and zigzag types of single walled carbon nanotubes using a nonlocal elasticity theory: An analytical approach

Vibration behavior of a micro cylindrical sandwich panel reinforced by graphene platelet

Vibration control of sandwich plate–reinforced nanocomposite face sheet and porous core integrated with sensor and actuator layers using perturbation method

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