Nonlinear free vibration of rotating functionally graded graphene platelets reinforced blades with variable cross-sections

Wang, Yuewu; Chen, Jie

doi:10.1016/j.enganabound.2022.08.032

Cited by 24 publications

(5 citation statements)

References 55 publications

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“…Chen [1] Present Chen [ 3 shows the nonlinear frequency ratio nl l  of the FG-GPLRC cantilever plate obtained in this study and in the references of Chen et al [40] and Liu et al [41]. The model parameters used in this comparison are 0.1m La == and 0.001m h =…”

Section: Comparison Studymentioning

confidence: 96%

“…Recently, there has been an increasing demand to further enhance the mechanical performance of blades due to the complex operational conditions that tend to induce high-frequency vibrations of blades. One promising solution involves the development of novel functionally graded (FG) graphene platelet/titanium alloy blades obtained by dispersing graphene platelets (GPLs) into titanium alloys in a layerwise manner [1,2]. Previous studies on the dynamics of functionally graded graphene platelet-reinforced composite (FG-GPLRC) blades [3][4][5][6] have shown that adding a small amount of graphene platelets to the matrix can remarkably improve the structural stiffness and reduce vibration responses.…”

Section: Introductionmentioning

confidence: 99%

“…Guo et al [15] investigated the large-amplitude nonlinear vibration behavior of graphene sheet-reinforced pre-twisted functionally graded nanocomposite multilayer blades in thermal environments. Chen et al [1] analyzed the nonlinear free vibration of functionally graded graphene plateletreinforced composite blades based on the energy approach and direct iteration method. Pan et al [16,17] examined the large-amplitude free vibration of a laminated structural composite blade consisting of a carbon nanotube-reinforced composite layer and a matrix-cracked fiber-reinforced composite layer.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear dynamics of rotating functionally graded graphene platelets/titanium alloy trapezoid plates under 1:3 internal resonance

Fan,

Chen

2024

Preprint

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Although rotating blades are designed to operate diverging from structural frequencies, internal resonance also occurs under certain rotation speeds that greatly affect the stiffness of the blades. Therefore, a detailed investigation of the resonance mechanisms of rotating blades, especially those introduced by nonlinearities, is of great importance in structural design and optimization. A dynamic model of a functionally graded graphene/titanium alloy composite trapezoid plate is established to investigate the nonlinear dynamics of a rotating blade with varying cross-sections. The ordinary differential equations of the plate are established based on the energy method and Lagrange equations. The occurrence of one to three internal resonance for the trapezoid plate is identified through the analysis of linear and nonlinear free vibrations. Then, the steady-state responses of the rotating plate in the case of 1:3 internal resonance are numerically calculated and verified by the approximation solution of the method of multiple scales. Parametric studies are conducted to investigate the effects of the rotation speed, taper ratio, excitation amplitude and excitation frequency on the amplitude‒frequency and amplitude‒force curves.

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Section: Comparison Studymentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear dynamics of rotating functionally graded graphene platelets/titanium alloy trapezoid plates under 1:3 internal resonance

Fan,

Chen

2024

Preprint

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“…Meanwhile, Bidzard et al [252] investigated the FV of toroidal micro-panels consisting of multilayers of FG-GPLRC subjected in TE by developing an NL FE model based on the MSGT combined with the FSDT. Likewise, the NL FV of blades made of rotating FG-GPLs has been investigated by Wang et al [253]. The linear/NL frequencies were obtained through the RR method, while the HT model and ROM were utilized to define the mass density, E, and Fig.…”

Section: Plate Structurementioning

confidence: 99%

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Al Mahmoud,

Safaei,

Sahmani

et al. 2024

Arch Computat Methods Eng

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Recently, the mechanical performance of various mechanical, electrical, and civil structures, including static and dynamic analysis, has been widely studied. Due to the neuroma's advanced technology in various engineering fields and applications, developing small-size structures has become highly demanded for several structural geometries. One of the most important is the nano/micro-plate structure. However, the essential nature of highly lightweight material with extraordinary mechanical, electrical, physical, and material characterizations makes researchers more interested in developing composite/laminated-composite-plate structures. To comprehend the dynamical behavior, precisely the linear/nonlinear-free vibrational responses, and to represent the enhancement of several parameters such as nonlocal, geometry, boundary condition parameters, etc., on the free vibrational performance at nano/micro scale size, it is revealed that to employ all various parameters into various mathematical equations and to solve the defined governing equations by analytical, numerical, high order, and mixed solutions. Thus, the presented literature review is considered the first work focused on investigating the linear/nonlinear free vibrational behavior of plates on a small scale and the impact of various parameters on both dimensional/dimensionless natural/fundamental frequency and Eigen-value. The literature is classified based on solution type and with/without considering the size dependency effect. As a key finding, most research in the literature implemented analytical or numerical solutions. The drawback of classical plate theory can be overcome by utilizing and developing the elasticity theories. The nonlocality, weight fraction of porosity, or the reinforcements, and its distribution type of elastic foundation significantly influence the frequencies.

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“…Javani et al [29] investigated the nonlinear natural vibration of an FG-GPLRC circular plate on the nonlinear elastic foundation using the generalized DQM. Wang and Chen [30] numerically investigated the nonlinear natural vibration of an FG-GPLRC titanium alloy trapezoid plate using the Rayleigh-Ritz method and the direct iterative process.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of Cracked Porous FG-GPL RC Cylindrical Panels Using a Phase-Field Crack Model

Cho

2024

Applied Sciences

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This study is concerned with the nonlinear free vibration of a cracked functionally graded porous cylindrical panel reinforced with graphene platelets by introducing a phase-field crack model. Conventional crack modeling by separating the grid nodes lying on the crack line is not only painstaking but also suffers from numerical instability. To overcome this problem, the internal crack is modeled by adopting the phase-field formulation and a virtual geometry rotation. The nonlinear numerical method is developed based on the first-order shear deformation theory incorporated with the von Kármán geometry nonlinearity in the framework of the 2-D extended natural element method, a recently introduced mesh-free method. The crack-induced singular field is represented by adopting the crack-tip singular functions, and the troublesome numerical locking is restrained by combining the MITC3+ shell concept and the shear stabilization factor. The curved shell surface is mapped to a 2-D rectangular NEM grid to avoid difficulty in defining the interpolation functions. The developed numerical method is verified through a comparison with the reference solutions, and the large-amplitude free vibration of porous cracked functionally graded grapheme platelet-reinforced cylindrical panels is profoundly examined by changing the major parameters.

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Nonlinear free vibration of rotating functionally graded graphene platelets reinforced blades with variable cross-sections

Cited by 24 publications

References 55 publications

Nonlinear dynamics of rotating functionally graded graphene platelets/titanium alloy trapezoid plates under 1:3 internal resonance

Nonlinear dynamics of rotating functionally graded graphene platelets/titanium alloy trapezoid plates under 1:3 internal resonance

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

Nonlinear Vibration of Cracked Porous FG-GPL RC Cylindrical Panels Using a Phase-Field Crack Model

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