Nonlinear vibration of geometrically imperfect CNT-reinforced composite cylindrical panels exposed to thermal environments with elastically restrained edges

Van Thinh, Nguyen; Van Tung, Hoang

doi:10.1007/s00707-023-03791-0

Cited by 4 publications

(1 citation statement)

References 56 publications

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“…In addition, to predict the mechanical properties of CNTRC structures, a suitable micromechanical model is also required. The rule of mixture [33], the Halpin-Tsai model [34], the Mori-Tanaka model [35], and the Eshelby-Mori-Tanaka approach [36] are four well-known micromechanical models that are commonly used to estimate mechanical properties of nanocomposite structures. The Halpin-Tsai model has been widely used to predict the effective material properties of the CNTRC structures [7,8,15,16].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal strain gradient-based nonlinear vibration analysis of nonlinear FG three-phase HJCNT/MWCNT/epoxy composite microbeam resonators using a modified micromechanical model

Mohammadian,

Hosseini

2024

Phys. Scr.

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This paper aims to study nonlinear dynamic behavior of functionally graded (FG) three-phase composite microbeam resonators made of an epoxy matrix and two reinforcements namely multi-walled carbon nanotubes (MWCNTs) and hetero-junction carbon nanotubes (HJCNTs). The effective mechanical properties of the composite microbeam are obtained using the modified Halpin-Tsai micromechanical model. The microbeam surrounding medium is simulated using a two-parameter elastic foundation. The von-Karman’s geometric nonlinearity relations are incorporated and the equations of motion are derived based on the nonlocal strain gradient Euler–Bernoulli beam model. A new closed-form analytical solution is obtained using the homotopy perturbation method. The effects of vibration amplitude, nanofiber volume fraction, nanofiber distribution pattern, small-scale parameters and the foundation parameters on the nonlinear frequency and deflection of the FG three-phase composite microbeams are studied in detail. The findings of the paper are valuable for researchers in the field of microbeam resonators.

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