Regular articleAN ORIGINAL METHOD FOR COMPUTING THE RESPONSE OF A PARAMETRICALLY EXCITED FORCED SYSTEM
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Extraction and use of frequency-domain relationships between time-varying gear meshing properties and diagnostic measurements
2023, Mechanical Systems and Signal ProcessingRandom response analysis of hydraulic pipeline systems under fluid fluctuation and base motion
2023, Mechanical Systems and Signal ProcessingExperimental measurement and numerical computation of parametric instabilities in a planetary gearbox
2022, Journal of Sound and VibrationCitation Excerpt :A complete procedure to predict ‘gear whine’ in a planetary gearbox is introduced in [31]. This approach is mainly based on a three-dimensional finite element model and makes use of a linear iterative spectral method by means of [32]. A nonlinear harmonic balance method is applied to a lateral–torsional lumped-parameter model in [33] to investigate the effect of multiple clearances.
On a flexible multibody modelling approach using FE-based contact formulation for describing gear transmission error
2022, Mechanism and Machine TheoryCitation Excerpt :Analytical methods are thus less accurate than FE-based methods. After selecting one of the different strategies presented above, the static transmission error and the time varying mesh stiffness are introduced as an internal excitation in order to compute the gear dynamic response [39–42]. An accurate prediction of the STE and the mesh stiffness are thus essential to compute precisely the dynamic response.
Multiphysics coupling between periodic gear mesh excitation and input/output fluctuating torques: Application to a roots vacuum pump
2017, Journal of Sound and VibrationCitation Excerpt :The excitation sources are characterized by various frequency components, so that the time discretization methods generally fail to solve the system of parametric equations of motion, since a short time step is needed, as well as a simulation during a long time range. Consequently, an alternative method has been proposed [25,48,19]. This iterative spectral method is based on the solving of the linear parametric equations of motion in the spectral domain and leads to reduce the computation time.
On transmission errors and profile modifications minimising dynamic tooth loads in multi-mesh gears
2016, Journal of Sound and VibrationCitation Excerpt :Raclot and Velex [20] developed a modular model for 2-stage geared units including tooth shape modifications and errors. In view of the resulting broadband excitation spectra, the authors solved the state equations in the frequency domain using the method of Perret-Liaudet [21]. Kubur et al. [22] proposed a FE/lumped parameter of double mesh helical gears and emphasised the influence of bearing stiffness, shaft angles and gear hand configurations.