Nonlinear flutter of viscoelastic rectangular plates and cylindrical panels of a composite with a concentrated masses

Éshmatov, B. Kh.; Éshmatov, Kh.; Khodzhaev, Dadakhan

doi:10.1134/s0021894413040081

Cited by 13 publications

(2 citation statements)

References 11 publications

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“…Some applications of new materials and structures in small scale were developed by various researchers in current works (Huang et al, 2021; Jiang et al, 2021; Li et al, 2021; Liu et al, 2021a, 2021b; Lu et al, 2022; Miao et al, 2016; Tong et al, 2016; Xiao et al, 2022; Xie et al, 2021a, 2022; Zhang et al, 2016, 2021, 2022 a, b, Qiao et al 2021, 2022, He et al 2022, Jin et al 2022, Zhong et al 2022). Eshmatov et al (2013) studied flutter analysis of the viscoelastic plates and cylindrical panels with concentrated masses based on geometric nonlinear strains. The nonlinear motion equations have been reduced to the nonlinear ordinary integro-differential equations based on the Bubnov Galerkin method.…”

Section: Introductionmentioning

confidence: 99%

Critical electro-magneto-mechanical loads of a higher-order shear deformable cylindrical nano panel

Wang²,

Mannani

et al. 2022

Journal of Intelligent Material Systems and Structures

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This work studies electro-magneto-mechanical critical loads of a shear deformable cylindrical panel subjected to a combination of electric, magnetic, and mechanical loads. A higher-order shear deformation model is used to derive kinematic relations. The critical load equations are extracted using the virtual work’s principle. The buckling loads are obtained with calculation of external works due to electro-magneto-mechanical loads. Zero out of plane shear strains at the top and the bottom surfaces are satisfied using application of third-order shear deformation theory with some modifications. The analytical solution is presented to investigate impact of influencing parameters such as nano-scale length, length to radius ratio, span angle, and Pasternak’s foundation parameters on the electro-magneto-mechanical buckling loads. A large parametric analysis is presented to discuss the impact of influencing parameters such as nano-scale parameter, span angle, Pasternak’s foundation parameters, and length to radius ratio on the critical loads.

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Section: Introductionmentioning

confidence: 99%

Critical electro-magneto-mechanical loads of a higher-order shear deformable cylindrical nano panel

Wang²,

Mannani

et al. 2022

Journal of Intelligent Material Systems and Structures

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“…Using the Bubnov‐Galerkin method and numerical method, Eshmatov et al. [10] investigated nonlinear flutter of viscoelastic rectangular plates and cylindrical panels of a composite with a concentrated masses. By using analytical and experimental methods, Zhong et al.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a rectangular thin plate with lumped mass under harmonic foundation and in‐plane excitations

Zhou

Chen

2020

Z Angew Math Mech

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Nonlinear dynamic behaviors including global bifurcations and multi‐pulse chaotic dynamics of a rectangular thin plate with lumped mass subjected to a harmonic foundation excitation and in‐plane excitation are investigated in this paper. With the von Ktrueármtrueán equation and Galerkin method, the dynamic equation of the first two modes for this model is obtained. Utilized the method of multiple scales, the average equation of the system in the case of both primary resonance and 1/2 subharmonic resonance is obtained. Global bifurcations and chaotic dynamics of the rectangular thin plate are analyzed with the energy‐phase method. The effect of the dissipation factor on pulse sequence and layer radius is discussed in detail. The results obtained here indicate that there exist Silnikov‐type multi‐pulse orbits homoclinic to certain invariant sets for the resonant case, which means that chaotic motion may occur. Homoclinic trees describing the repeated bifurcations of multi‐pulse solutions are also obtained. With the Runge–Kutta method, numerical simulations including the time histories and phase portraits are given, which demonstrate that chaotic behaviors may occur and confirm the analytical results.

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Methodology of Experimental Research of Aeroelastic Interaction Between Two-Phase Flow and Deflecting Elements for Modular Separation Devices

Demianenko

Liaposhchenko

Pavlenko

et al. 2020

Lecture Notes in Mechanical Engineering

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Nonlinear flutter of viscoelastic rectangular plates and cylindrical panels of a composite with a concentrated masses

Cited by 13 publications

References 11 publications

Critical electro-magneto-mechanical loads of a higher-order shear deformable cylindrical nano panel

Critical electro-magneto-mechanical loads of a higher-order shear deformable cylindrical nano panel

Dynamics of a rectangular thin plate with lumped mass under harmonic foundation and in‐plane excitations

Methodology of Experimental Research of Aeroelastic Interaction Between Two-Phase Flow and Deflecting Elements for Modular Separation Devices

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