The Study on Vibration Reduction of Nonlinear Time-Delay Dynamic Absorber under External Excitation

Yan, Tinghao; Ren, Chuanbo; Zhou, Jianhui; Shao, Sujuan

doi:10.1155/2020/8578596

Cited by 5 publications

(4 citation statements)

References 24 publications

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“…The membrane would vibrate under the effect of ultrasound, and the mass damping and viscous damping will appear due to the existence of transformer oil attached to the membrane surface and affect the membrane vibrations. The fluid-solid coupled vibration equations for the membrane are presented as follows [31]:…”

Section: Governing Equations and Computational Methodsmentioning

confidence: 99%

Numerical Study of Vibration Characteristics for Sensor Membrane in Transformer Oil

Yao

Guan

et al. 2021

Energies

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Membrane is the most important element of extrinsic Fabry-Perot interferometer sensors. Studying the relationship between working medium viscosity and membrane vibration characteristics are critical to the sensor design because the transformer oil viscosity will cause viscous loss during membrane vibration. The numerical investigation of membrane vibration characteristics in transformer oil is performed based on the finite element method. Besides, the effect of energy loss caused by viscosity is examined. It is firstly showed that the membrane has the highest sensitivity for the first-order vibration mode, and the transformer oil reduces the fundamental frequency by 60%. Subsequently, when viscosity and heat loss are considered, the amplitude is less than one-fifth of that without energy loss. The viscosity has a more significant effect on the velocity and temperature fields when the vibration frequency is close to the natural frequency. Finally, viscosity has a remarkable impact on the time domain response. Mechanical energy is converted into thermal energy during the vibration and the amplitude will gradually decrease with time. The effect of energy loss caused by viscosity on the membrane vibration characteristics is revealed, which would be important for an oil-immersed membrane design.

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Section: Governing Equations and Computational Methodsmentioning

confidence: 99%

Numerical Study of Vibration Characteristics for Sensor Membrane in Transformer Oil

Yao

Guan

et al. 2021

Energies

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“…Winding vibration is influenced by the mass inertia, elasticity, and damping of the winding. The differential equations of motion for solid mechanics are given in Equation (11) [46], [48]:…”

Section: Mechanical Vibration Modelmentioning

confidence: 99%

Investigation of Transformer Vibration Characteristics using the Finite Element Method

Samimi

2022

Scientia Iranica

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Understanding the vibrational characteristics of power transformers is significantly important in their design and monitoring. In this contribution, a model with a multi-physics coupling simulation of the electrical circuit, magnetic field, and solid mechanics is developed to investigate the characteristics of the transformer vibration. After describing the model, the harmonic contents of the vibration signals and their variation in the case of mechanical faults are studied. It is shown that under normal operating conditions, the fundamental vibration frequency of 100 Hz has the maximum amplitude, while in the case of mechanical faults, the amplitudes of 200 Hz and 300 Hz harmonics increase dramatically compared to the fundamental harmonic. The influence of vibration sensor position is investigated too, which indicates that the area near the tank bottom is the best position to gather vibration signals. Moreover, the mechanical resonance frequencies of the transformer, along with their mode shapes, are addressed in this paper. Finally, the influence of mechanical changes on the vibration energy distribution in the tank surface is explored. The results of the paper suggest possible diagnosis methods for condition monitoring of transformers, such as using the vibration energy distribution on the tank surface or analyzing the vibration harmonics.

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“…According to the precise integration method 21,22 of delay differential equations, the numerical solution of the vibration system of the 6-DOF half-vehicle model is solved. Establish a quantitative relationship between time-delay control parameters, road excitation, and time-domain vibration response of the system.…”

Section: Solution Of Optimal Feedback Control Parametersmentioning

confidence: 99%

Effect of delayed resonator on the vibration reduction performance of vehicle active seat suspension

Zhang

Ren

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

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The combination of dynamic vibration absorber and partial state feedback with time-delay is called delayed resonator. In order to suppress the seat vibration caused by uneven road surface and improve ride comfort, the delayed resonator is applied to the seat suspension to realize active control of the seat suspension system. The dynamic model of the half-vehicle suspension system is established, and the time-delay differential equation of the system under external excitation is solved by the precise integration method. The root mean square of the time-domain vibration response of seat displacement, seat acceleration and vehicle acceleration are selected as the objective function. Then, the optimal time-delay control parameters are obtained by particle swarm optimization algorithm. The frequency sweeping method is used to obtain the critical time-delay value and time-delay stable interval of the system. Finally, an active seat suspension model with delayed resonator is established for numerical simulation. The results show that the delayed resonator can greatly suppress the seat vibration response regardless of the road simple harmonic excitation or random excitation. Compared with dynamic vibration absorber, it has a better vibration absorption effect and a wider vibration reduction frequency band.

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The Study on Vibration Reduction of Nonlinear Time-Delay Dynamic Absorber under External Excitation

Cited by 5 publications

References 24 publications

Numerical Study of Vibration Characteristics for Sensor Membrane in Transformer Oil

Numerical Study of Vibration Characteristics for Sensor Membrane in Transformer Oil

Investigation of Transformer Vibration Characteristics using the Finite Element Method

Effect of delayed resonator on the vibration reduction performance of vehicle active seat suspension

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