Coupling dynamic characteristics of simplified model for tethered satellite system

Hu, Weipeng; Huai, Yulu; Xu, Mengbo; Deng, Zichen

doi:10.1007/s10409-021-01108-9

Cited by 39 publications

(5 citation statements)

References 42 publications

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“…Firstly, in this paper, the exact solutions of the equation are derived richly with the Lie symmetry method, and other methods can be employed for the solutions of the equation, such as the numerical analysis method [36][37][38]. Secondly, the natural properties of the solutions to the equation can be investigated further in subsequent studies through the generalized multi-symplectic method and the structure-preserving method [39][40][41][42].…”

Section: Discussionmentioning

confidence: 99%

Lie symmetry analysis and exact solutions of the (3+1)-dimensional generalized Shallow Water-like equation

Yang

Song²,

Wang³

2023

Front. Phys.

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In this article, (3+1)-dimensional generalized Shallow Water-like (gSWl) equation is discussed. The infinitesimal generators of the equation are derived by using the Lie symmetry analysis method. The optimal system is obtained based on the adjoint table of the generators of the equation. Exact solutions of the equation are constructed by applying symmetry reduction, Exp−ϕ(ξ) expansion method, Exp-function expansion method, Riccati equation method, and G′/G expansion method. For analyzing the dynamical behavior of the solutions, we derive the physical structures of dark soliton, kink wave, and periodic solutions via numerical simulations.

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Section: Discussionmentioning

confidence: 99%

Lie symmetry analysis and exact solutions of the (3+1)-dimensional generalized Shallow Water-like equation

Yang

Song²,

Wang³

2023

Front. Phys.

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“…It should be noted that the separation of variables and multiple scales analysis own errors. The structure-preserving method has attracted increasing research interest in recent years [26][27][28][29][30].…”

Section: The Methods Of Multiple Scalesmentioning

confidence: 99%

Lateral Free Vibration of Micro-Rods Using a Nonlocal Continuum Approach

Xie

Zhang²,

Chen

et al. 2022

J. Adv. App. Comput. Math.

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The lateral free vibration of micro-rods initially subjected to axial loads based on a nonlocal continuum theory is considered. The effects of nonlocal long-range interaction fields on the natural frequencies and vibration modes are examined. A simply supported micro-rod is taken as an example; the linear vibration responses are observed by two different methods, including the separation of variables and multiple scales analysis. The relations between the vibration mode and dimensionless coordinate and the relations between natural frequencies and nonlocal parameters are analyzed and discussed in detail. The numerical comparison shows that the theoretical results by two different approaches have a good agreement, which validates the present micro-rod model that can be used as a component of the micro-electromechanical system.

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“…To this end, it is of significance to investigate the switching dynamic behaviors of the rheological property of the solvent-free nanofluids. Recently, a mechanoelectrical flexible hub-beam model [17] was proposed based on the classic hub-beam model [18][19][20][21] to obtain the critical disturbance of the liquid-like behaviors of ionic-type solvent-free nanofluids by using the structure-preserving method [22][23][24][25][26][27][28][29][30][31][32] . However, the previous model has neglected the specific forms (such as the electric field, the magnetic field, and temperature) of disturbance acting on the solvent-free nanofluids [17] .…”

Section: Introductionmentioning

confidence: 99%

Effects of temperature change on the rheological property of modified multiwall carbon nanotubes

Wang

Huai

et al. 2022

Appl. Math. Mech.-Engl. Ed.

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Solvent-free nanofluids hold promise for many technologically significant applications. The liquid-like behavior, a typical rheological property of solvent-free nanofluids, has aroused considerable interests. However, there has been still lack of efficient methods to predict and control the liquid-like behavior of solvent-free nanofluids. In this paper, we propose a semi-discrete dynamic system with stochastic excitation describing the temperature change effects on the rheological property of multiwall carbon nanotubes (MWCNTs) modified by grafting sulfonic acid terminated organosilanes as corona and tertiary amine as canopy, which is a typical covalent-type solvent-free nanofluid system. The vibration of the grafting branches is simulated by employing a structure-preserving approach, and the shear force of grafting branches at the fixed end is computed subsequently. By taking the shear forces as an excitation acting on the MWCNTs, the axial motion of the MWCNTs is solved with the 7-point Gauss-Kronrod quadrature rule. The critical temperature associated with the appearance of the liquid-like behavior as well as the upper bound of the moving speed of the modified MWCNTs is determined, which can be used to predict and control the liquid-like behavior of the modified MWCNTs in engineering applications.

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Coupling dynamic characteristics of simplified model for tethered satellite system

Cited by 39 publications

References 42 publications

Lie symmetry analysis and exact solutions of the (3+1)-dimensional generalized Shallow Water-like equation

Lie symmetry analysis and exact solutions of the (3+1)-dimensional generalized Shallow Water-like equation

Lateral Free Vibration of Micro-Rods Using a Nonlocal Continuum Approach

Effects of temperature change on the rheological property of modified multiwall carbon nanotubes

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