The non-linear phenomena in vibration cutting system

Karube, Shu; Hoshino, Wataru; Soutome, Tatsuo; Sato, Keijin

doi:10.1016/s0020-7462(01)00031-2

Cited by 21 publications

(11 citation statements)

References 22 publications

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“…It indeed highlights a transition between generalized strain hardening, which is characterized by low cutting speed and high profiles slopes, and localized strain hardening, characterized by high cutting speed and weak profiles slopes [11]. Consequently, the purpose of this study, in what follows, is thus to show that this transition is due to an instability which can be analyzed by the chaos theory.…”

Section: Machinability Analysis Via the Chaos Theorymentioning

confidence: 70%

Decomposition of a tribological system by chaos theory on rough surfaces

Bigerelle

Nianga

Iost

2015

Tribology International

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a b s t r a c tThe purpose of this paper is to analyze the turning machinability of a martensitic steel, according to the cutting speed, and through signal analyses of the morphology of the machined surface. We initially carried out the classification of a large number of parameters of roughness, on the basis of their relevance with regard to cutting speed. The originality of the proposed method lies in the combination of the classical technique of analysis of variance with the statistical technique of resampling of data, called Bootstrap. Another characteristic of the study consists in the addition to the traditional categories of roughness parameters (Amplitude, Frequency, Morphological and Hybrid parameters) to analyze multiscale aspect of surface topography through fractal analysis. According to the analysis carried out, the fractal dimension and the slope of the signal (dz/dx) of the topographical signal of the studied surface appear much more relevant than all the other Euclidian parameters. The fractal dimension and the slope of profile allow us to estimate a critical transition speed between the cutting states by generalized strain hardening and those by localized strain hardening. This parameter is also more relevant than the others, because it allows a good analysis of the influence of cutting speed, within each of the two machining modes. The obtained result is relevant because it provides a practical and inexpensive method for the quality control of the machined surface, to manufacturers and engineering companies, without removing some mechanical part, but only through a direct analysis of the slopes of the profile, with, in particular, the help of a portable instrument. We establish later that the transition between disorder and order of the aspect of the observed profiles is essentially due to an instability, which we analyze by the chaos theory. For that purpose, we propose an original construction of an attractor that presents a fixed point for low cutting speeds. This attractor characterizes, beyond the critical cutting speed, an instability described by a phenomenon of successions of states on the attractor between work hardening by localized shear plastic deformation and softening due to the rise in temperature.

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Section: Machinability Analysis Via the Chaos Theorymentioning

confidence: 70%

Decomposition of a tribological system by chaos theory on rough surfaces

Bigerelle

Nianga

Iost

2015

Tribology International

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“…17 Sub-harmonic behaviour has been studied and documented in many mechanical systems. [18][19][20][21] b. The fundamental frequency of excitation decreases as voltage decreases (see Figure 3 and acoustic measurements).…”

Section: Effect Of Bracket Stiffnessmentioning

confidence: 99%

Multi-physics phenomena influencing the performance of the car horn

Medè

Doria

Munaretto³

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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Usually cars are equipped with disk horns. In these devices electromagnetic energy is converted into mechanical energy of two nuclei that vibrate and impact each other-the impacts excite the disk that radiates sound. This paper aims at understanding the results of acoustic tests carried out on horns with different excitation voltages and different mounting brackets. Since many non-linear phenomena are inherent in the vibrations of the nuclei, a detailed model of the electromechanical system is developed. Results show the dependence of operating frequency on the input voltage and the role played by the various mechanical and electrical parameters on the dynamics of the horn. Particular nonlinear effects, like sub-harmonic excitation, are presented and discussed. A general agreement between experimental results and numerical simulations is found.

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“…Nous avons montré que l'usinabilité peutêtre caractérisée par l'utilisation des paramètres conventionnels de rugosité. Parmi une centaine de paramètres, le plus discriminant est la pente moyenne des profils qui met eń evidence la transition entre l'écrouissage généralisé (faible vitesse, pentes des profilsélevées) et l'écrouissage localisé (forte vitesse, pentes des profils faibles) [11]. Dans cette partie, nous allons tenter de montrer que cette transition est relativeà une instabilité qui peutêtre analysée par la théorie du chaos.…”

Section: Analyse Par La Théorie Du Chaos 41 Approche De La Problématunclassified

Relation usinabilité–topographie de la surface usinée. Analyse conventionnelle et par la théorie du chaos

Bigerelle

Gavois²,

Iost³

2008

Mécanique & Industries

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. This is an author-deposited version published in: http://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/9795To cite this version :Maxence BIGERELLE, Jérôme GAVOIS, Alain IOST -Relation usinabilité-topographie de la surface usinée. Analyse conventionnelle et par la théorie du chaos -Mécanique et Industrie Résumé -Cet article propose d'analyser l'usinabilité en tournage d'un acier martensitique en fonction de la vitesse de coupe par observation topographique de la surface. Nous décrivons d'abord une méthodologie pour chercher le paramètre de rugosité le plus pertinent afin de caractériser l'influence de la vitesse de coupe sur la topographie de la surface obtenue. La moyenne des pentes du profil permet d'estimer une vitesse critique qui correspondà une transition de régime dans le mode d'usinage. Elle metégalement enévidence l'influence de la vitesse de coupeà l'intérieur de chacun de ces deux régimes, ce qu'un critère plus conventionnel tel que le Ra ne permet pas de différencier. Dans une deuxième partie de cetteétude, l'usinabilité est analysée en utilisant la théorie du chaos. Partant de la topographie de la surface usinée, nous développons une méthode originale pour construire un attracteur qui s'avèreêtre bidimensionnel. La construction de cet attracteur résulte de deux fonctions : la première caractérise l'effet de l'écrouissage dûà la coupe et la seconde l'effet de l'adoucissement thermique.À basse vitesse de coupe, ces deux mécanismes deviennent intimement liés et l'attracteur possède un point fixe : la coupe s'effectue parécrouissage généralisé. Audelà d'une vitesse critique, l'attracteur présente deuxétats indiquant l'apparition d'une instabilité de coupe. Deux régimes se succèdent : l'écrouissage par cisaillement localisé puis l'adoucissement causé par l'élévation de température. Cette instabilité est confirmée par une augmentation de la dimension fractale avec la vitesse de coupe du profil reconstruit d'après l'attracteur. Abstract -Relations between cutting mechanisms in turning process and roughness measurement. Conventional analysis and chaos theory.Quality of the cutting machining process of martensitic steel is analysed as a function of the cutting speed. This analysis is performed by topographical measurement of tooled surfaces. A statistical analysis taking into account more than hundred roughness parameters allows us to prove that the mean slope value of the profile is the best parameter to characterise the cutting speed effect on the surface topography. This roughness parameter discriminates the cutting speed threshold between two cutting stages and moreover, discriminates also the cutting process in each stage (the usual Ra parameter is unable to do it). A mathematical treatment based on the chaos theory is then processed. From the profile of the machined surface, a two-dimensional attractor is constructed. Thanks to an original method, ...

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The non-linear phenomena in vibration cutting system

Cited by 21 publications

References 22 publications

Decomposition of a tribological system by chaos theory on rough surfaces

Decomposition of a tribological system by chaos theory on rough surfaces

Multi-physics phenomena influencing the performance of the car horn

Relation usinabilité–topographie de la surface usinée. Analyse conventionnelle et par la théorie du chaos

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