Analyzing the Vibration System with Time-Varying Mass

Zhu, Yan; Wang, Shu Lin

doi:10.4028/www.scientific.net/amm.50-51.160

Cited by 6 publications

(3 citation statements)

References 5 publications

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“…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]. Furthermore, based on the observations from either filed measurements or simulated wind-rain tunnel tests of the cables in cable-stayed bridges [12], the motion of the upper rivulet, , is assumed to be harmonic as long as the steady-state vibration.…”

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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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: 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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“…The ejection process of the manipulator is regarded as the first quarter cycle of simple harmonic vibration with a variable mass, and the analytical solution is very complex to calculate the ejection velocity and joint angular variation [22]. As shown in Fig.…”

Section: Ejection Calculationmentioning

confidence: 99%

Emergency ejection characteristics of space manipulator multi-body system

Cai

Deng

et al. 2023

Robotica

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Space manipulators are typically installed on spacecraft using an emergency separation device (ESD). In the event of a malfunction, the ESD ejects the manipulator from the spacecraft. However, due to the relative rotation of the manipulator’s joints during the ejection, the equivalent ejection mass varies depending on different attitudes. This paper focuses on studying manipulators equipped with separation slide rails and analyzes their ejection characteristics under different attitudes to determine the optimal manipulator attitude for ejection. Initially, the ejection dynamics model of the space manipulator is established using the Lagrangian method, based on the kinetic energy equation, kinematics equation, and the boundary condition between the manipulator and ESD. Afterward, the space dynamics model is transformed into the dynamic model of plane ejection state by recursion formula. From this model, the equivalent ejection mass and ejection velocity are obtained, and the joint angular variation during ejection is acquired by considering joint friction torque. Using the law of conservation of angular momentum, the ejection angular velocity is then calculated. Finally, this study selected a 7-DOF space manipulator as an example and adjusted the damping parameter B of the joint for more precise calculations by choosing the attitude with a relatively larger joint angular variation. The modified model was then tested for its applicability to other attitudes. After determining the value of B, the correctness of the algorithm was validated by MATLAB calculation, ADAMS simulation, and real object ejection test.

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“…However, the excited frequency of the anti-resonance vibration machine is requested particularly stable in the practical application, or the anti-resonance point of the anti-resonance vibrating machine may be deviate because of the fluctuation of the material mass, and the amplitude of the vibration response will change also, which will reduce the working performance of the vibrating machine [9,10]. Therefore, it is very important to improve the vibration amplitude stability of the upper body and lower body by revealing the relationship between the resonance point, the anti-resonance point and the mass ratio, and to select the appropriate dynamic parameters.…”

Section: Introductionmentioning

confidence: 99%

Dynamic performance analysis of nonlinear anti-resonance vibrating machine with the fluctuation of material mass

Li¹,

Shen²

2016

J. vibroeng.

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Aimed to solve the problem of weak anti-resonance performance and poor working stability in current anti-resonance vibrating machines, this paper presents a nonlinear dynamic model that reflects the actual working state of the anti-resonance machine. Under the material mass fluctuation condition, the dynamic response of the anti-resonance vibrating system has been discussed, and the dynamic parameters selection problem of the anti-resonance vibrating system has been analyzed which could be used to improve working performance stability. In the paper, the influence of nonlinear factors of the anti-resonance vibrating machine on the driving body and the working body has been analyzed under the material fluctuation conditions also. The results can provide the theoretical support and experimental basis for improving the design and working performance of the anti-resonance vibrating machine.

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Analyzing the Vibration System with Time-Varying Mass

Cited by 6 publications

References 5 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

Emergency ejection characteristics of space manipulator multi-body system

Dynamic performance analysis of nonlinear anti-resonance vibrating machine with the fluctuation of material mass

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