Bending aeroelastic instability of the structure of suspended cable-stayed beam

Huang, Kun; Feng, Qinghua; Qu, Benning

doi:10.1007/s11071-016-3226-y

Cited by 14 publications

(12 citation statements)

References 17 publications

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“…Vo et al [18] confirmed that deformations of the stay cable have a significant influence on the bending aeroelastic instability of the structure by experiments. Huang et al [19] solved the governing equations for the structure of the suspended cable-stayed beam by using the normal form and the multiple-scale method and found deformations of the stay cable have a significant influence on the bending aeroelastic instability of the structure. In [16][17][18][19], some scholars studied the rain-windinduced vibration, ice galloping, and dry galloping of the stay cable and the influence of the deformations of the stay cable on the aerodynamic stability of the cable.…”

Section: Introductionmentioning

confidence: 99%

“…Based on the analysis of [8][9][10][11][12][13][14][15][16][17][18][19], few scholars have studied the influence of dynamic wind on transmission lines. And based on the influence of dynamic wind on the dynamic response of the structure in [20,21], this paper systematically studies the influence of dynamic wind on the nonlinear galloping characteristics of iced transmission lines.…”

Section: Introductionmentioning

confidence: 99%

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Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation Conditions

Liu

Wu²,

Zou

et al. 2021

Discrete Dynamics in Nature and Society

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In order to study the influence of dynamic wind on the nonlinear galloping characteristics of iced transmission lines, an external excitation load is added to the governing equation of iced transmission lines under the condition of stable wind, and a new forced self-excited system has been established. The frequency-amplitude relationship of the forced self-excited system under weak excitation and strong excitation is obtained by using the multiple-scale method. The principal resonances and superharmonic and subharmonic resonances of the forced self-excited system have also been analyzed. The results show that, in the forced self-excited system under strong excitation, when the excitation frequency is close to the integral and fractional times of the natural frequency, it is easier to produce 1/2-order subharmonic resonance, 2-order superharmonic resonance, and 3-order superharmonic resonance. In addition, numerical techniques provide bifurcation diagrams of different control parameters, which are able to highlight the effects of the simultaneous presence of the sources of excitation. When the control parameters (wind velocity, excitation amplitude, tuning parameter, tension, and Young’s modulus) change, the response amplitudes of the principal resonance and harmonic resonance will have multivalues, jump phenomenon, and hardening behavior. The control parameters can be used as a reference for engineering design. More importantly, as a combination of the Duffing equation and the Rayleigh equation, the forced self-excited system also has high theoretical research value.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation Conditions

Liu

Wu²,

Zou

et al. 2021

Discrete Dynamics in Nature and Society

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“…Hence we apply the Galerkin method and the multi-scale method to solve the equations approximately [34][35][36]. The two methods are widely used to solve nonlinear equations of structures [18,[20][21][22][37][38][39]. Under boundary conditions Eqs.…”

Section: Solutions Of Modelsmentioning

confidence: 99%

“…. The multiple scale method [35], which widely use to solve weak nonlinear differential equations for macro-structures [37][38][39], will be applied to solve Eq. (42).…”

Section: Solutions Of Modelsmentioning

confidence: 99%

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Nonlocal Euler-Bernoulli Beam Theories with Material Nonlinearity and their Application to Single-Walled Carbon Nanotubes

Huang

2021

Preprint

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The small-scale effect and the material nonlinearity significantly impact the mechanical properties of nanobeams. However, the combined effects of two factors have not attracted the attention of researchers. In the present paper, under the displacement’s Euler-Bernoulli assumption, we proposed two new nonlocal models to describe the mechanical properties of slender nanobeams for two centroid locus conditions: the locus extensibility and the locus inextensibility. Two new theories consider both the material nonlinearity and the small-scale effect induced by the non-local effect. The new models are used to analyze the static bending and the forced vibration for single-walled carbon nanotubes (SWCNTs). The results indicate that the stiffness’ softening effect induced by the material nonlinearity has more prominent impact than the nonlocal effect on SWCNT’s mechanical properties. Therefore, neglecting the material nonlinearity may cause qualitative mistakes.

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