Curve Squeal of Train Wheels, Part 2: Which Wheel Modes Are Prone to Squeal?

Heckl, M.

doi:10.1006/jsvi.1999.2511

Cited by 45 publications

(34 citation statements)

References 5 publications

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“…The stability behaviour of individual modes can be studied more systematically by an analysis in the frequency domain; this will be addressed in a companion paper [12].…”

Section: Discussion Of the Numerical Resultsmentioning

confidence: 99%

Curve Squeal of Train Wheels, Part 1: Mathematical Model for Its Generation

Heckl

Abrahams

2000

Journal of Sound and Vibration

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“…The stability behaviour of individual modes can be studied more systematically by an analysis in the frequency domain; this will be addressed in a companion paper [12].…”

Section: Discussion Of the Numerical Resultsmentioning

confidence: 99%

Curve Squeal of Train Wheels, Part 1: Mathematical Model for Its Generation

Heckl

Abrahams

2000

Journal of Sound and Vibration

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“…Some minimal models are presented in [23]. A more complete mathematical description of the wheel lateral dynamics has been included in [19], and later in [6,7]. An experimental validation on a scaled test bench has been presented in [4,22].…”

Section: Introductionmentioning

confidence: 99%

Importance of the Wheel Vertical Dynamics in the Squeal Noise Mechanism on a Scaled Test Bench

Collette¹

2012

Shock and Vibration

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Abstract. This paper investigates the influence of the wheel vertical dynamics in the mechanism of squeal noise on a scaled test bench. To this purpose, sustained oscillations are first studied on a single degree of freedom oscillator, considering both a decreasing slope of the friction curve and a vertical excitation. Their relative importance to sustain the oscillations is discussed. Then, a mathematical model of a quarter scale test bench is developed in the frequency domain. Using this model, it is shown that the squeal noise resulting from the excitation of the bending modes of the wheel is sustained because these bending modes are associated with variations of the vertical contact force. Results are further confirmed by experiments conducted on a scaled test bench.

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“…This has been done for friction-driven oscillations, such as the bowed string (McIntyre & Woodhouse 1979) and curve squeal (Heckl 2000).…”

Section: Discussionmentioning

confidence: 99%

“…The equations for the heat-driven frequencies Ω m and amplitudes u m can be obtained with a procedure first used by Heckl (2000) to analyse a friction-driven wheel. We combine the equations (4.2) and (5.6) in order to obtain a modal expression for the heat release:…”

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confidence: 99%

A Green’s function approach to the rapid prediction of thermoacoustic instabilities in combustors

Bigongiari

Heckl

2016

J. Fluid Mech.

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The prediction of thermoacoustic instabilities is fundamental for combustion systems such as domestic burners and industrial gas turbine engines. High-amplitude pressure oscillations cause thermal and mechanical stress to the equipment, leading to premature wear or even critical damage. In this paper we present a new approach to produce nonlinear (i.e. amplitude-dependent) stability maps of a combustion system as a function of various parameters. Our approach is based on the tailored Green's function of the combustion system, which we calculate analytically. To this end, we assume that the combustor is one-dimensional, and we describe its boundary conditions through reflection coefficients. The heat release is modelled by a generalised nτ law. This includes a direct-feedback term in addition to the usual time-lag term; moreover, its parameters (time lag, coupling coefficients) depend on the oscillation amplitude. The model provides new insight into the physical mechanism of the feedback between heat release rate and acoustic perturbations. It predicts the key nonlinear features of the thermoacoustic feedback, such as limit cycles, bistability and hysteresis. It also explains the frequency shift in the acoustic modes.

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Curve Squeal of Train Wheels, Part 2: Which Wheel Modes Are Prone to Squeal?

Cited by 45 publications

References 5 publications

Curve Squeal of Train Wheels, Part 1: Mathematical Model for Its Generation

Curve Squeal of Train Wheels, Part 1: Mathematical Model for Its Generation

Importance of the Wheel Vertical Dynamics in the Squeal Noise Mechanism on a Scaled Test Bench

A Green’s function approach to the rapid prediction of thermoacoustic instabilities in combustors

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