Coupling dynamic problem of a completely free weightless thick plate in geostationary orbit

Hu, Weipeng; Cui, Pengfei; Han, Zhengqi; Yan, Jianwei; Zhang, Chuanzeng; Deng, Zichen

doi:10.1016/j.apm.2024.07.035

Applied Mathematical Modelling

2025

DOI: 10.1016/j.apm.2024.07.035

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Coupling dynamic problem of a completely free weightless thick plate in geostationary orbit

Weipeng Hu,

Pengfei Cui,

Zhengqi Han

et al.

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Cited by 4 publications

References 59 publications

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An upper bound on the steady flow velocity of solvent-free nanofluids

Hu,

Han,

Feng

et al. 2024

Appl. Math. Mech.-Engl. Ed.

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An upper bound on the steady flow velocity of solvent-free nanofluids

Hu,

Han,

Feng

et al. 2024

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

Structure-preserving analysis on chaotic characteristics of transverse vibration for embedded double-walled carbon nanotube

Hu,

Han,

Wang

et al. 2024

Phys. Scr.

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Analysing on the ultra-high frequency vibrational characteristics of carbon nanotubes, especially on the chaotic characteristics, is a key scientific problem in the dynamic design of the carbon nanotube devices. Considering the van der Waals force between the inner layer and the outer layer of the embedded double-walled carbon nanotube, and the effects of the elastic medium as well as the effects of the simple harmonic external excitation, the coupling dybamic model describing the transverse vibration of the embedded double-walled carbon nanotube is presented. The generalized multi-symplectic formulations with an explicit multi-symplectic structure residual are deduced by introducing the dual momenta. The Preissmann approach, which has been proved to be a structure-preserving method that can be used to reproduce the chaotic characteristics of carbon nanotubes, is employed to discrete the generalized multi-symplectic formulations. The numerical results imply that, the transverse vibration of the embedded double-walled carbon nanotube subjected to the external excitation larger than the critical external excitation will enter the chaotic state through a period-doubling bifurcation path. In addition, the critical external excitation for the chaos of the inner layer carbon nanotube’s transverse vibration is larger than that of the outer layer carbon nanotube’s transverse vibration. The above findings reported in this paper provide some guidance for the dynamic design of the carbon nanotube devices directly.

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Chaotic dynamics of a carbon nanotube oscillator with symmetry-breaking

Wang,

Yang,

Parastesh

et al. 2024

Phys. Scr.

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Carbon nanotubes (CNTs) are pivotal components in nanoelectromechanical applications. Investgaing the dynamics of CNTs helps in expanding our understanding of their mechanical properties in nanoengineering endeavors. This study delves into the chaotic characteristic of single-walled carbon nanotube (SWCNT) systems involving phase-shifting external excitation and cubic nonlinear damping. Employing compactification theory, we investigate the system's dynamics at infinity, unveiling its global structure. Analytic solutions for homoclinic/heteroclinic orbits are derived, and utilizing the Melnikov method, we establish criteria for chaos onset in this periodically excited, perturbed SWCNT system. Through bifurcation diagrams, Lyapunov exponent spectra, Poincaré sections, and homoclinic bifurcation surfaces, we empirically confirm the occurrence of chaos, substantiating our theoretical analyses with simulation results.

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Coupling dynamic problem of a completely free weightless thick plate in geostationary orbit

Cited by 4 publications

References 59 publications

An upper bound on the steady flow velocity of solvent-free nanofluids

An upper bound on the steady flow velocity of solvent-free nanofluids

Structure-preserving analysis on chaotic characteristics of transverse vibration for embedded double-walled carbon nanotube

Chaotic dynamics of a carbon nanotube oscillator with symmetry-breaking

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