Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique

Babaei, Hadi; Kiani, Y.; Eslami, M. R.

doi:10.1007/s00707-021-03027-z

Cited by 30 publications

(2 citation statements)

References 42 publications

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“…Snap-through behavior, thermal and inertial buckling, vibration, and wave propagation of CNT-reinforced beams were investigated using different theories and methods. [21][22][23][24][25][26][27] An experimental tensile test for CNT-reinforced beams was also performed exploring various micromechanical models. 28 The CNT-reinforced rectangular plates, skew plates, rectangular microplate and doubly curved micro-shell panels were mentioned in buckling and vibration problems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear thermo-elastic stability of corrugated-core toroidal shell segments with carbon nanotube-reinforced face sheets under radial pressure

Vu,

Do,

et al. 2023

Journal of Thermoplastic Composite Materials

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An analytical approach for nonlinear buckling and postbuckling responses of corrugated-core toroidal shell segments with carbon nanotube (CNT) reinforced face sheets in thermal environment subjected to radial pressure is reported in this work. Three distribution laws of functionally graded CNT-reinforced layers and the trapezoidal and round forms of the corrugated core are investigated. An equivalent technique for corrugated panels is improved by adding thermal forces to model the behavior of the corrugated core. The nonlinear equations are formulated by using the geometrically nonlinear Donnell shell theory considering Pasternak’s foundation. An algorithm to solve a system of nonlinear equations is established using the Ritz energy method with three shell deflection amplitudes. The postbuckling expressions between the compressive and tensile loads with maximal deflection and the critical compressive and tensile loads are determined. The numerically investigated examples present the significantly beneficial effects of corrugated core and functionally graded CNT-reinforced face sheets on nonlinear buckling responses of structures.

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Section: Introductionmentioning

confidence: 99%

Nonlinear thermo-elastic stability of corrugated-core toroidal shell segments with carbon nanotube-reinforced face sheets under radial pressure

Vu,

Do,

et al. 2023

Journal of Thermoplastic Composite Materials

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“…The application of deformation theories to the prediction of the mechanical behavior of composite elements is highly valuable. For instance, Babaei et al [ 38 ] conducted a study on the vibrational behavior of thermally pre-/post-buckled functionally graded carbon nanotube-reinforced concrete beams. This study involved the use of three different beam theories: first-order, third-order, and sinusoidal beam theories.…”

Section: Introductionmentioning

confidence: 99%

Nano-Clay Platelet Integration for Enhanced Bending Performance of Concrete Beams Resting on Elastic Foundation: An Analytical Investigation

et al. 2023

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Acknowledging the growing impact of nanotechnologies across various fields, this engaging research paper focuses on harnessing the potential of nano-sized materials as enhancers for concretes. The paper emphasizes the strategic integration of these entities to comprehensively improve the strength and performance of concrete matrixes. To achieve this, an analytical study is conducted to investigate the static behavior of concrete beams infused with different types of clay nano-platelets (NC’s), employing quasi-3D beam theory. The study leverages the effective Eshelby’s homogenization model to determine the equivalent elastic characteristics of the nanocomposite. The intricate interactions of the soil medium are captured through the use of a Winkler–Pasternak elastic foundation. By employing virtual work principles, the study derives equations of motion and proposes analytical solutions based on Navier’s theory to unravel the equilibrium equations of simply supported concrete beams. The results shed light on influential factors, such as the clay nano-platelet type, volume percentage, geometric parameters, and soil medium, providing insights into the static behavior of the beams. Moreover, this research presents previously unreported referential results, highlighting the potential of clay nano-platelets as reinforcements for enhancing structural mechanical resistance.

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Influences of elastic foundations and thermal environments on the thermoelastic buckling of nanocomposite truncated conical shells

Sofiyev

Kuruoğlu

2022

Acta Mech

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Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique

Cited by 30 publications

References 42 publications

Nonlinear thermo-elastic stability of corrugated-core toroidal shell segments with carbon nanotube-reinforced face sheets under radial pressure

Nonlinear thermo-elastic stability of corrugated-core toroidal shell segments with carbon nanotube-reinforced face sheets under radial pressure

Nano-Clay Platelet Integration for Enhanced Bending Performance of Concrete Beams Resting on Elastic Foundation: An Analytical Investigation

Influences of elastic foundations and thermal environments on the thermoelastic buckling of nanocomposite truncated conical shells

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