A new model for the study of rain-wind-induced vibrations of a simple oscillator

Burgh, A. H. P. van der; HARTONO, Hartono; Abramian, A. K.

doi:10.1016/j.ijnonlinmec.2005.04.005

Cited by 29 publications

(12 citation statements)

References 9 publications

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“…The vibrations of high-voltage transmission lines and cables of cable-stayed bridges with the rivulets on their surface are the cases of time-varying dynamic systems [17]. For those constructions, a damped, single degree of freedom continuous model with timevarying mass will be considered.…”

Section: Analytical Modelmentioning

confidence: 99%

“…Considering the variation of the quantity of raindrops maybe relevant for instability mechanism, and a new model for the study of rain-wind vibrations of a simple oscillator with time-varying mass is established, in which the mass of the water ridge is supposed to vary harmonically with time [17]. To simplify the analysis, in this section, we use the assumption as given in [17]. Therefore, we assume that timevarying mass is fluctuating with a positive value, and the frequency of which normally is an integer submultiple of excitation frequency [19].…”

Section: Solution Of the Equation Of Rain-wind Induced Vibration On Tmentioning

confidence: 99%

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Analytical Model of Rain-Wind Induced Vibration of High-Voltage Transmission Line

Zhou

Liu

2014

Advances in Mechanical Engineering

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Under rainfall conditions, rain-wind induced vibration occurs on high-voltage transmission line occasionally. This phenomenon is caused by raindrops hitting the high-voltage conductor with a certain velocity and suspends to the bottom surface of the highvoltage conductor. By action of wind velocity and high-voltage conductor's motion, some suspended raindrops will be blown away or shaken off. The remaining water may be reformed as upper rivulet and lower rivulet. Like the effect of icing galloping, this type of vibration can cause metal fatigue on fittings and towers, while its mechanism remains unknown. The objective of this paper is to validate an analytical model of rain-wind induced vibration of the high-voltage transmission line and to investigate the effect of wind velocity, rivulet motion, raindrop velocity, and time varying mass on the vibration amplitude. Taking Tuo-chang transmission line as an example, the analytical model is solved by Galerkin weighted residual method and central difference method. The numerical results are in agreement with the experimental data available in the literature. The analytical model enables more comprehensive understanding of the rain-wind induced vibration mechanism.

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Section: Analytical Modelmentioning

confidence: 99%

Section: Solution Of the Equation Of Rain-wind Induced Vibration On Tmentioning

confidence: 99%

Analytical Model of Rain-Wind Induced Vibration of High-Voltage Transmission Line

Zhou

Liu

2014

Advances in Mechanical Engineering

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“…Examples of such systems can be found in robotics, rotating crankshafts, conveyor systems, excavators, cranes, biomechanics, and in fluid-structure interaction problems [2,3]. The oscillations of electric transmission lines and cables of cable-stayed bridges with water rivulets on the surface are also examples of timevarying dynamic systems [4]. For these mechanical constructions, the 1-mode Galerkin approximation of the continuous model will lead to a single degree-offreedom oscillator (sdofo)-equation.…”

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confidence: 99%

Solving systems of nonlinear difference equations by the multiple scales perturbation method

Rafei

Horssen

2012

Nonlinear Dyn

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In this paper, we apply an improved version of the multiple scales perturbation method to a system of weakly nonlinear, regularly perturbed ordinary difference equations. Such systems arise as a result of the discretization of a system of nonlinear differential equations, or as a result in the stability analysis of nonlinear oscillations. In our procedure, asymptotic approximations of the solutions of the difference equations will be constructed which are valid on long iteration scales.

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“…on the cable surface can also be considered as timevarying dynamic systems [2]. Usually, the stay cables are mantled with polyurethane and have a nearly circular cross section.…”

mentioning

confidence: 99%

“…The system mass changes when the rivulet is blown off. Papers [2,5] have shown that even a marginal change in the mass can lead to the cable instability. The aforementioned papers have considered a one-degree-of-freedom system with a time-varying mass.…”

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confidence: 99%

Oscillations of a beam with a time-varying mass

Abramyan

Vakulenko

2010

Nonlinear Dyn

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This paper analyzes dynamical behavior of a simply supported Euler-Bernoulli beam with a timevarying mass on its surface. Though the system under consideration is linear, it exhibits dynamics similar to a nonlinear system behavior including internal resonances. The asymptotical solutions for the beam displacement has been found by combining the classical Galerkin method with the averaging method for equations in Banach spaces. The resonance conditions have been derived. It has been proposed a method for finding a number of possible resonances.Effect of the beam parameters on its dynamical behavior is investigated as well.

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A new model for the study of rain-wind-induced vibrations of a simple oscillator

Cited by 29 publications

References 9 publications

Analytical Model of Rain-Wind Induced Vibration of High-Voltage Transmission Line

Analytical Model of Rain-Wind Induced Vibration of High-Voltage Transmission Line

Solving systems of nonlinear difference equations by the multiple scales perturbation method

Oscillations of a beam with a time-varying mass

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