Stability of turning process with tool subjected to compression

Béri, Bence; Stépàn, Gábor

doi:10.1016/j.procir.2018.08.275

Cited by 3 publications

(7 citation statements)

References 11 publications

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“…Due to the regenerative nature of the axial cutting force, the stability properties of the process changes. While a pure constant compression only decreases the chatter-free domain (see Beri and Stepan (2018)), its regenerative form induces island-like formations in the parameter space. These stable and unstable islands are located in the originally unstable and stable regions, respectively.…”

Section: Discussionmentioning

confidence: 99%

“…These tongues are slightly bent to the direction of the higher spindle speeds, which is originated in the increasing modal stiffness of the system. The phenomenon can also be demonstrated by means of the asymptotes of the stability lobes (see Altintas (2012); Beri and Stepan (2018); Insperger and Stepan (2011)). Based on equation ( 23), the asymptotes are approximated point-bypoint with the help of the average value of the time-periodic natural angular frequency of the system…”

Section: Stability Chartsmentioning

confidence: 99%

“…To identify its effect on process stability, the lateral stiffness variation of the tool is taken into consideration due to the axial cutting force. While constant compression decreases this lateral stiffness only, its regenerative form has a more complex outcome (see Beri and Stepan (2018)) regarding the cutting dynamics.…”

Section: Modelling and Analysismentioning

confidence: 99%

“…It is well known that the lateral stiffness of bearings exposes a hardening/softening character with respect to the axial force that is either a compressive or a tensile (see Abele et al (2010); Harris and Kotzalas (2006)). This way, a constant axial force can increase or decrease the natural frequency of the machine tool (see Beri et al (2017); Beri and Stepan (2018)). In case of the axial component of the regenerative cutting force, the dynamic behaviour of the system is increasingly intricate (see Beri and Stepan (2018)).…”

Section: Motivationmentioning

confidence: 99%

“…This way, a constant axial force can increase or decrease the natural frequency of the machine tool (see Beri et al (2017); Beri and Stepan (2018)). In case of the axial component of the regenerative cutting force, the dynamic behaviour of the system is increasingly intricate (see Beri and Stepan (2018)).…”

Section: Motivationmentioning

confidence: 99%

See 4 more Smart Citations

Effect of axial force on the stability of milling: Local bifurcations around stable islands

Béri

Stépàn

2021

Journal of Vibration and Control

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In this paper, the stability properties of milling processes are presented when the axial component of the cutting force is also taken into account as a compressive force acting on the cutting tool. The mechanism of the material removal operation is described by a one degree-of-freedom oscillator subjected to the so-called surface regeneration effect. This can be represented mathematically by a nonlinear, time-periodic, delay differential equation. The regenerative compression affects the natural frequency of the system, which is modelled through the lateral stiffness variation of the bearing support of the main spindle. This extension of the general milling model leads to the birth of stable islands within the originally unstable parameter domain. Since the exploitation of these regions may open new ways in practice for increasing the efficiency of machining, the domain of attraction is investigated qualitatively near the stability boundaries of the stable island by means of a semi-analytical method.

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Section: Discussionmentioning

confidence: 99%

Section: Stability Chartsmentioning

confidence: 99%

Section: Modelling and Analysismentioning

confidence: 99%