Vibration fatigue dynamic stress simulation under non-stationary state

Li, Fansong; Wu, Hao; Wu, Pingbo

doi:10.1016/j.ymssp.2020.107006

Cited by 49 publications

(10 citation statements)

References 35 publications

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“…At present, the formation mechanism of wheel polygon wear is not clear. According to the theory related to structural failure degradation, it is known that in order to slow down the process of structural fatigue damage accumulation, the deterioration of wheel polygon wear should be controlled by wheel turning in a timely manner [33][34][35].…”

Section: Effect Of Wheel Polygonizationmentioning

confidence: 99%

Vibration and Stress Response of High-Speed Train Gearboxes under Different Excitations

Zhu

Sun

2022

Applied Sciences

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The vibration data of the gearbox on a high-speed train was measured, and the vibration characteristics were analyzed in this paper. The dynamic stress of the gearbox under the internal and external excitation was examined by a railway vehicle dynamic model with a flexible gearbox and a flexible wheelset. The ideal 20th polygonal wear was considered, and dynamic stresses of the gearbox under different polygonal wear amplitudes were calculated. The gear transmission model was established to study the dynamic stress of the gearbox under the influence of the time-varying stiffness of the gear meshing. Based on the rigid–flexible coupling model, and considering the influence of wheel polygonization, gear meshing time-varying stiffness, and wheelset elastic deformation, the dynamic stress of the gearbox was investigated with consideration of the measured polygonal wear and measured rail excitation. The results show that the dynamic stress of the gearbox is dominated by the wheel polygonization. Moreover, not only the wheel polygonization excites the resonance of the gearbox, but also the flexible deformation of the wheelset leads to the deformation of the gearbox, which also increases the dynamic stress of the gearbox. Within the resonant bandwidth of the frequency, the amplitude of the dynamic stresses in the gearbox will increase considerably compared with the normal case.

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Section: Effect Of Wheel Polygonizationmentioning

confidence: 99%

Vibration and Stress Response of High-Speed Train Gearboxes under Different Excitations

Zhu

Sun

2022

Applied Sciences

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“…By constructing the modal matrix of the system and using the modal superposition method, the displacement mode shape can be obtained. Then, the frequency-response equation of structural stress is obtained by the relationship between displacement and stress [ 22 , 23 , 24 ]:

where H σ ( ω ) denotes the stress-frequency-response function and k i , m i , c i are the i -th modal stiffness, modal mass and modal damping, respectively.

is the corresponding modal strain component of the system.…”

Section: Psd Approach In the Frequency Domainmentioning

confidence: 99%

Vibration Fatigue Damage Estimation by New Stress Correction Based on Kurtosis Control of Random Excitation Loadings

Wang

Serra

2021

Sensors

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In the pioneer CAE stage, life assessment is the essential part to make the product meet the life requirement. Commonly, the lives of flexible structures are determined by vibration fatigue which accrues at or close to their natural frequencies. However, existing PSD vibration fatigue damage estimation methods have two prerequisites for use: the behavior of the mechanical system must be linear and the probability density function of the response stresses must follow a Gaussian distribution. Under operating conditions, non-Gaussian signals are often recorded as excitation (usually observed through kurtosis), which will result in non-Gaussian response stresses. A new correction is needed to make the PSD approach available for the non-Gaussian vibration to deal with the inevitable extreme value of high kurtosis. This work aims to solve the vibration fatigue estimation under the non-Gaussian vibration; the key is the probability density function of response stress. This work researches the importance of non-Gaussianity numerically and experimentally. The beam specimens with two notches were used in this research. All excitation stays in the frequency range that only affects the second natural frequency, although their kurtosis is different. The results show that the probability density function of response stress under different kurtoses can be obtained by kurtosis correction based on the PSD approach of the frequency domain.

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“…Generally, it is required to calculate the root mean square value of the vibration process in a relatively narrow time window. The appropriate time window width is related to the impulse response period of the system, which can be defined as the time when the •5• amplitude decreases to 10% of the initial value [28]. Since vibration fatigue research is mainly focused on specific systems, therefore the criterion can be used to measure the non-stationary index of excitation and response at the same time.…”

Section: Non-stationary Indexmentioning

confidence: 99%

Research on the Influence of Non-Stationary and Non-Gaussian Random Excitation on Structural Response Kurtosis

Zeng¹,

Jiang²,

Lei³

et al. 2021

Preprint

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The stationary gaussian hypothesis is usually used to estimate the vibration fatigue life of structures. However, in actual engineering, the dynamic response of the structure usually exhibits non-stationary and non-gaussian, especially under harsh working condition or changing environment. The structural vibration fatigue life is closely related to the dynamic response characteristics, especially with respect to the structural response kurtosis used to characterize the non-Gaussian characteristics. In this paper, the influence of non-stationary and non-Gaussian random excitation on structural response kurtosis was studied by means of simulation and experiment. Firstly, by the means of simulating, the transmission law of excitation-response kurtosis was studied from three aspects, including system damping ratio, excitation frequency bandwidth, and excitation non-stationary characteristics. Then, the response kurtosis law was verified by the test results of cantilever vibration stress response. The results show that when the excitation is a stationary gaussian random load, the damping ratio and the excitation frequency bandwidth have no effect on the response kurtosis, and the response is approximately Gaussian distribution. When the excitation is stationary non-gaussian and non-stationary non-gaussian random load, if the damping ratio of the system is large, the response kurtosis is mainly affected by the damping ratio; If the damping ratio of the system is small, the frequency bandwidth and non-stationarity of the excitation have significant effects on the response kurtosis. The research results can provide support for predicting the vibration response and fatigue life of engineering structures under complex non-stationary non-gaussian random loads.

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Vibration fatigue dynamic stress simulation under non-stationary state

Cited by 49 publications

References 35 publications

Vibration and Stress Response of High-Speed Train Gearboxes under Different Excitations

Vibration and Stress Response of High-Speed Train Gearboxes under Different Excitations

Vibration Fatigue Damage Estimation by New Stress Correction Based on Kurtosis Control of Random Excitation Loadings

Research on the Influence of Non-Stationary and Non-Gaussian Random Excitation on Structural Response Kurtosis

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