Nonlinear output frequency response functions: A new evaluation approach and applications to railway and manufacturing systems’ condition monitoring

Zhu, Yunpeng; Lang, Zi–Qiang; Mao, Hanling; Laalej, Hatim

doi:10.1016/j.ymssp.2021.108179

Cited by 40 publications

(25 citation statements)

References 32 publications

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“…The power transmissibility E v ð Þ with four sets of nonlinear damping coefficients can be obtained from step 4. Therefore, the coefficients Ŝj 1 , j 2 , j 3 jv ð Þ can be calculated by equation (18).…”

Section: Power Spectrummentioning

confidence: 99%

“…They also proposed a new concept known as the associated output frequency response function (AOFRF), which facilitated the analysis of the effects of both linear and nonlinear system parameters on the output response. 17 Zhu et al 18 proposed and developed a new concept known as the Generalized Associated Linear Equations (GALEs), which can significantly facilitate the nonlinear system analyses and deal with associated practical applications. Recently, Zhu and Lang 19 demonstrated the beneficial effects of the cubic nonlinear damping that is extended to the systems subject to general inputs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design of a floating raft system by exploiting the nonlinear damping

Wang

Zhu

Guo

et al. 2023

Advances in Mechanical Engineering

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In the present study, the optimization design of the cubic nonlinear damping is conducted for a floating raft isolation system, which can be simplified as a multiple degree-of-freedom system with double parallel freedom inputs. The direct relationship between the power transmissibility and cubic nonlinear damping parameters is derived by taking advantage of the output frequency response function (OFRF) approach. The design requirements are proposed in order to achieve low resonant peak values, low power transmissibility over the high frequency range. The detailed step-by-step design process of the floating raft isolation system applied in a practical vessel is provided. A polynomial function, in terms of the required frequency range, is developed and validated from the simulation data. The case application indicates that the design method determined by the OFRF approach can effectively realize the design requirements of a floating raft isolation system, which can deal with the relationship of the power transmissibility and nonlinear damping parameters.

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Section: Power Spectrummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of a floating raft system by exploiting the nonlinear damping

Wang

Zhu

Guo

et al. 2023

Advances in Mechanical Engineering

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“…15,16 Thus, the LS algorithm can be omitted in the estimation process of NOFRFs. Zhu et al 17 In the estimation methods for NOFRFs, both excitation signal and response signal must be known. However, the excitation signal usually cannot be collected in engineering practice, such as the excitation of airflow to flying aircraft, the excitation of pedestrians to bridges, and the excitation of water flow to sailing ships.…”

Section: Introductionmentioning

confidence: 99%

An estimation method of normalized nonlinear output frequency response functions for fatigue damage detection using stochastic response signal

Tang,

Mao,

et al. 2024

Fatigue Fract Eng Mat Struct

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Nonlinear output frequency response functions (NOFRFs) and its modified version, normalized NOFRFs (norm‐NOFRFs), are composed of multiple spectra, which can sensitively indicate the occurrence of fatigue damage in machinery. However, their application is restricted to a certain extent. Currently, neither NOFRFs nor norm‐NOFRFs can be estimated with only a single response signal. Aimed at this problem, the nonlinear auto‐regressive (NAR) model was introduced, and an estimation method of norm‐NOFRFs is proposed in this paper. Only one stochastic response signal is required in the proposed method, which removes the restrictions on the number and intensity of signals to identify norm‐NOFRFs, and expands the range of scenarios for using norm‐NOFRFs in damage detection. The feasibility and robustness of the proposed method are verified by the nonlinear model in numerical simulation. The effectiveness of revealing and quantifying the fatigue damage is verified by experimental study for three kinds of mechanical parts.

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“…The most representative methods of them are Nonlinear Auto Regressive with eXogenous Inputs (NARX) / Nonlinear Auto-Regressive Moving Average with eXogenous Inputs (NARMAX) models [15] based methods. The NARX / NARMAX model of the system is identified by the input and output signals, and then several new input and output signals are generated by this model to estimate NOFRFs [10], [16], [17], [18]. The advantage of methods in the second class is that the number of excitation applied to the detection object is less than that of the methods in the first class, and the NOFRFs can be estimated up to any order.…”

Section: Signal 1 Introductionmentioning

confidence: 99%