Dynamical analysis of transmission line cables. Part 3—Nonlinear theory

Barbieri, Renato; Barbieri, Nilson; Júnior, Oswaldo Honorato de Souza

doi:10.1016/j.ymssp.2007.10.002

Cited by 23 publications

(10 citation statements)

References 15 publications

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“…In (16)- (18),̈,V ,̈represent the accelerations of vibration of the transmission line along the -, -, and -axes, respectively.…”

Section: Shock and Vibrationmentioning

confidence: 99%

“…Evidently, even the linear dynamic theory cannot accurately describe the forms of motion of cables. It is irrefutable that the wind-induced vibration response of longspan, lightweight, and small-damping transmission lines has inherently nonlinear characteristics [15][16][17][18][19][20][21][22][23][24]. However, the current design specification still requires the use of the linear static theory of suspended cables to design transmission lines, which clearly cannot meet the engineering demand.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear Dynamic Analysis of High‐Voltage Overhead Transmission Lines

Zhang

Zhao

2018

Shock and Vibration

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According to a generalized Hamilton’s principle, three-dimensional (3D) nonlinear vibration equations for overhead transmission lines that consider geometric nonlinearity are established. Based on the characteristics of an actual transmission line, the 3D equations are simplified to two-dimensional equations, and the nonlinear vibration behavior of transmission lines is investigated by combining theoretical analysis with numerical simulation. The results show that transmission lines have inherently nonlinear vibration characteristics. When in free vibration, a transmission line can undergo nonlinear internal resonance, even when its initial out-of-plane energy is relatively low; as its initial out-of-plane energy increases, the coupling of in-plane and out-of-plane vibration becomes stronger. When forced to vibrate by an external excitation, due to the combined action of internal and primary resonance, the vibration energy of a transmission line transfers from the out-of-plane direction to the in-plane direction that is not directly under the excitation, resulting in an increase in the dynamic tension and the displacement amplitude of the transmission line. Increasing damping can consume the vibration energy of a transmission line but cannot prevent the occurrence of internal resonance.

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“…In (16)- (18),̈,V ,̈represent the accelerations of vibration of the transmission line along the -, -, and -axes, respectively.…”

Section: Shock and Vibrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of High‐Voltage Overhead Transmission Lines

Zhang

Zhao

2018

Shock and Vibration

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show abstract

“…For example, the nonlinear response was studied with the damped behavior under seismic excitations [1][2][3][4]. e dynamic analysis was developed from the initial string model based on the assumption from inextensible to extensible elastic beam models, considering the effect of bending stiffness, sag, inclination, and lateral components [5,6]. A reduced cable-support coupled model was proposed to investigate the modal resonant dynamics of cables with a flexible support [7].…”

Section: Introductionmentioning

confidence: 99%

On the Relation between Strength and Stiffness of Cable Tray

Ding²,

Ding³

et al. 2021

Mathematical Problems in Engineering

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In order to realize the optimal design of the cable supporting system for the purpose of material saving and energy saving and green manufacturing, the strength-stiffness ratio is proposed in the paper in nondimensional form, which defines quantitatively the relation between the static load strength and stiffness of the cable tray. On the premise of ensuring service safety, the correlation between the strength and stiffness of the cable tray under static load is discussed extensively through the theoretical analysis of the mechanical model. The weakest link in the carrying capacity of the cable tray as well as the issue that needs to pay attention is proposed in the process of design and the test of the cable tray. A reasonable strength-stiffness ratio will help to make full use of the potential of material strengths. The value of the strength-stiffness ratio is obtainable by means of the finite element method or by the loading test of the cable tray. It is shown through the analysis that the value of the strength-stiffness ratio being setting in the range close to but less than 1 will make comparatively reasonable material utilization and will help the deflection test going smoothly to obtain a relatively safer allowable working load for the cable tray.

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“…Barbieri et al [6] analyzed nonlinear characteristics of the large amplitude free vibrations of non-inclined and inclined sagged elastic transmission lines with finite element method and validated the nonlinear models with experimental data. Xia et al [7] established a finite element model of a domestic 500kV high-voltage tower-line system to study the nonlinear dynamic response under mechanical failure.…”

Section: Introductionmentioning

confidence: 99%

In-Plane Nonlinear Vibration of Overhead Power Transmission Conductors With Coupling Effects of Wind and Rain

Zhou¹

2021

IEEE Access

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Dynamical analysis of transmission line cables. Part 3—Nonlinear theory

Cited by 23 publications

References 15 publications

Nonlinear Dynamic Analysis of High‐Voltage Overhead Transmission Lines

Nonlinear Dynamic Analysis of High‐Voltage Overhead Transmission Lines

On the Relation between Strength and Stiffness of Cable Tray

In-Plane Nonlinear Vibration of Overhead Power Transmission Conductors With Coupling Effects of Wind and Rain

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