Stability Analysis of Cutting under Varying Spindle Speed

Inamura, Tatsuya; Sata, Toshio

doi:10.2493/jjspe1933.43.80

Cited by 31 publications

(31 citation statements)

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“…Spindle speed variation (SSV) is a well-known technique to suppress regenerative machine tool vibrations: the continuous modulation of the spindle speed is able to break the energy that flows from the cutting process to the machine/workpiece thus preventing the occurrence of undesired vibrations. Inamura and Sata [4] presented one of the first works on SSV. Due to its flexibility and its easy implementation, spindle speed variation is a very promising chatter suppression strategy even compared with other developed methods.…”

Section: Introductionmentioning

confidence: 99%

The analysis of tool life and wear mechanisms in spindle speed variation machining

Albertelli

Mussi²,

Monno

2014

Int J Adv Manuf Technol

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Regenerative chatter vibrations generally limit the achievable material removal rate (MRR) in machining. The diffusion of spindle speed variation (SSV) as a chatter suppression strategy is mainly restricted to academy and research centers. A lack of knowledge concerning the effects of non-stationary machining is still limiting its use in real shop floors. This research is focused on the effects of spindle speed variation technique on tool duration and on wear mechanisms. No previous researches have been performed on this specific topic. Tool wear tests in turning were carried out following a factorial design: cutting speed and cutting speed modulation were the investigated factors. The carbide life was the observed process response. A statistical approach was used to analyze the effects of the factors on the tool life. Moreover, the analysis was extended to the wear mechanisms involved during both constant speed machining (CSM) and SSV. The worn out carbide surfaces were examined under a scanning electron microscope (SEM) equipped with an energy dispersive X-ray spectrometer (EDS). Significant differences were appreciated. It was observed that SSV tends to detach the coatings of the inserts, entailing a mechanism that is quite unusual in wet steel turning and thus fostering the wear of the tool. The performed analysis allowed to deduce that the intensified tool wear (in SSV cutting) is mainly due to thermo-mechanical fatigue.

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Section: Introductionmentioning

confidence: 99%

The analysis of tool life and wear mechanisms in spindle speed variation machining

Albertelli

Mussi²,

Monno

2014

Int J Adv Manuf Technol

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“…The study of time-periodic delays gained popularity in the 1970s when several researchers [1][2][3][4] started focussing on the suppression of tool-chatter using continuous modulation of the spindle speed. The governing mathematical model for machining with periodic spindle speed modulation is a DDE with a variable delay as opposed to a DDE with constant delay for machining with a constant spindle speed.…”

Section: Introductionmentioning

confidence: 99%

“…where 0 is the mean value of the spindle speed, 1 is the amplitude of the modulation and ω m is the angular frequency of the modulation, it has been shown in [10] that for small 1 , the time taken to complete one revolution τ (t) can be approximated fairly accurately by the function…”

Section: Now Define the Maximum Delay Asmentioning

confidence: 99%

Stability and bifurcation studies of delayed systems with variable delays using Galerkin projections

Wahi

2014

Int. J. Dynam. Control

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In this paper, we use finite dimensional ordinary differential equation (ODE) approximations of delay differential equations (DDEs) with variable delays for stability and bifurcation studies. Two different approaches to handle variable delays in these systems have been presented. The first one involves embedding the variable time-delay in a fixed delay interval and is suitable for variable delays whose variation with time is explicitly defined and an upper-bound is known apriori. The efficacy of this procedure is demonstrated for the practical example of turning operation where periodic or random variation of spindle speed is employed for chatter control. For the practical application of a statedependent delayed model for turning, this approach leads to a system of differential algebraic equations which are not easily amenable to stability and bifurcation studies. Hence, an alternate approach based on mapping the variable delay to a fixed delay using a dynamic scaling of the delayed variable is presented which results in system of ODEs facilitating the stability and bifurcation analysis. In all the cases, an excellent agreement has been achieved between the stability results from the approximation and the analytical/full numerical simulation studies. Bifurcation diagrams have been presented only for the state-dependent delay case where they match the existing results reported in the literature using DDE-biftool.

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“…One of the direct applications of this idea is the stabilization of the cutting process via spindle speed variation [Inamura & Sata, 1974;Takemura et al, 1974;Insperger & Stépán, 2004b]. This means that parametric excitation can also be introduced successfully at the time delay parameter.…”

Section: Introductionmentioning

confidence: 99%

Delay, Parametric Excitation, and the Nonlinear Dynamics of Cutting Processes

Stépàn

Insperger

Szalai

2005

Int. J. Bifurcation Chaos

100

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It is a rule of thumb that time delay tends to destabilize any dynamical system. This is not true, however, in the case of delayed oscillators, which serve as mechanical models for several surprising physical phenomena. Parametric excitation of oscillatory systems also exhibits stability properties sometimes defying our physical sense. The combination of the two effects leads to challenging tasks when nonlinear dynamic behaviors in these systems are to be predicted or explained as well. This paper gives a brief historical review of the development of stability analysis in these systems, induced by newer and newer models in several fields of engineering. Local and global nonlinear behavior is also discussed in the case of the most typical parametrically excited delayed oscillator, a recent model of cutting applied to the study of high-speed milling processes.

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Stability Analysis of Cutting under Varying Spindle Speed

Cited by 31 publications

References 0 publications

The analysis of tool life and wear mechanisms in spindle speed variation machining

The analysis of tool life and wear mechanisms in spindle speed variation machining

Stability and bifurcation studies of delayed systems with variable delays using Galerkin projections

Delay, Parametric Excitation, and the Nonlinear Dynamics of Cutting Processes

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