Numerical and experimental validation of a hybrid finite element-statistical energy analysis method

Cotoni, Vincent; Shorter, Phil; Langley, R.S.

doi:10.1121/1.2739420

Cited by 127 publications

(70 citation statements)

References 17 publications

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“…(14)-(18) can be found in (Langley and Bremner, 1999;Shorter and Langley, 2005;Cotoni et al, 2007). Eq.…”

Section: Theory Of the Hybrid Fe-seamentioning

confidence: 99%

“…Here the two main equations of the hybrid method are given as follows (Shorter and Langley, 2005;Cotoni et al, 2007):…”

Section: Theory Of the Hybrid Fe-seamentioning

confidence: 99%

“…The model is developed based on a hybrid of the finite element method and the statistic energy analysis (Langley and Bremner, 1999;Shorter and Langley, 2005;Cotoni et al, 2007), which is called the hybrid FE-SEA for short.…”

Section: Prediction Model Of Interior Noise Of Coachmentioning

confidence: 99%

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Effect of the first two wheelset bending modes on wheel-rail contact behavior

Zhang

Han

Xiao

et al. 2014

JZUS-A

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This work presents a detailed investigation conducted into the relationships between wheel polygonal wear and wheel/rail noise, and the interior noise of high-speed trains through extensive experiments and numerical simulations. The field experiments include roundness measurement and characteristics analysis of the high-speed wheels in service, and analysis on the effect of re-profiling on the interior noise of the high-speed coach. The experimental analysis shows that wheel polygonal wear has a great impact on wheel/rail noise and interior noise. In the numerical simulation, the model of high-speed wheel/rail noise caused by the uneven wheel wear is developed by means of the high-speed wheel-track noise software (HWTNS). The calculation model of the interior noise of a high-speed coach is developed based on the hybrid of the finite element method and the statistic energy analysis (FE-SEA). The numerical simulation analyses the effect of the polygonal wear characteristics, such as roughness level, polygon order (or wavelength), and polygon phase, on wheel/rail noise and interior noise of a high-speed coach. The numerical results show that different polygon order with nearly the same roughness levels can cause different wheel/rail noises and interior noises. The polygon with a higher roughness level can cause a larger wheel/rail noise and a larger interior noise. The combination of different polygon phases can make a different wheel circle diameter difference due to wear, but its effect on the interior noise level is not great. This study can provide a basis for improving the criteria for high-speed wheel re-profiling of China's high-speed trains.Key words: High-speed train, Wheel polygonal wear, Wheel re-profiling, Interior noise, Wheel/rail noise, Hybrid finite element method and the statistic energy analysis (FE-SEA)

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“…(14)-(18) can be found in (Langley and Bremner, 1999;Shorter and Langley, 2005;Cotoni et al, 2007). Eq.…”

Section: Theory Of the Hybrid Fe-seamentioning

confidence: 99%

“…Here the two main equations of the hybrid method are given as follows (Shorter and Langley, 2005;Cotoni et al, 2007):…”

Section: Theory Of the Hybrid Fe-seamentioning

confidence: 99%

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Effect of the first two wheelset bending modes on wheel-rail contact behavior

Zhang

Han

Xiao

et al. 2014

JZUS-A

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“…There is a main mass m 1 " 2 attached to a fixed point with a spring with stiffness k 1 " 2. Attached to the main mass are a further set of n " 150 randomly sampled springmass pairs, m j`1 and k j`1 " m j`1 µ (1), (4) and (6). The reference average function, p g pgq 32 is presented in the inset.…”

Section: Complex System Benchmarkmentioning

confidence: 99%

“…There have been many efforts to extract and identify such simplified, important, patterns of the system's behaviour, either from deterministic or from statistical points of view. The consideration of fuzzy, complex, or reverberant components as for example in [1,2,3,4,5,6] of a vibrating system falls within this realm where parts of the system made of a myriad of vibrating elements are replaced by a small number of components that provide equivalent properties.…”

Section: Introductionmentioning

confidence: 99%

TRAX: An approach for the time rational analysis of complex dynamic systems

Lecomte

2015

Numerical Meth Engineering

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SUMMARYThis paper introduces a theoretical and algorithmic reduced model approach to efficiently evaluate time responses of complex dynamic systems. The proposed approach combines four main components: analytical expressions of the average of the system's transfer functions in the frequency domain, precise and convergent rational approximations of these exact expressions, exact evaluation of these approximations through model reduction in rational Krylov subspaces, and semi-analytical interpolation at just a few frequency points. The resulting algorithmic principles to evaluate the time response of a particular system are relatively straightforward: one first evaluates the response of the system with slight additional damping at a few frequencies and one then projects or reduces the system in the subspace spanned by these responses. The time response of the reduced model implicitly provides a precise evaluation of that of the original system. The properties of the reduced models and the precision of the proposed approach are studied and applications on complex matrix systems are presented and discussed. While the theory and numerical algorithms are presented in a matrix context, they are also transposable in a continuous functional context.

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Hybrid FE‐SEA

Shorter

Cotoni

2016

Engineering Vibroacoustic Analysis

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Numerical and experimental validation of a hybrid finite element-statistical energy analysis method

Cited by 127 publications

References 17 publications

Effect of the first two wheelset bending modes on wheel-rail contact behavior

Effect of the first two wheelset bending modes on wheel-rail contact behavior

TRAX: An approach for the time rational analysis of complex dynamic systems

Hybrid FE‐SEA

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