Unstable islands and bifurcation analysis in a spindle milling system supported by ball bearings

Gao, Shang; Meng, Guang

doi:10.1177/1464419311408500

Cited by 2 publications

(2 citation statements)

References 43 publications

(53 reference statements)

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“…The effects of negative bearing clearance on the dynamic response and stability of the machine tool spindle system with unbalanced force were investigated. Gao et al [3] conducted unstable islands and bifurcation analysis in a spindle milling system, and dynamic milling forces were considered [3,4]. Floquet theory was applied to investigate the stability of the periodic solution in [5].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic characteristic of the spindle-cutter system

Gao¹,

Zhang²,

Wang³

2016

J. vibroeng.

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A nonlinear dynamic model of spindle-cutter coupling system under cutting force, which takes into account the cutter stiffness and the nonlinearity of bearing clearance, is established. Analysis of the cross-section of a two-flute end mill is conducted to determine cutter stiffness. Then, the calculated cutter stiffness is introduced into the nonlinear dynamic model of coupling system. In the modeling of cutting force, the cutting width takes into account the cutter tip displacement. Moreover, nonlinear dynamic characteristics of spindle-cutter coupling system are studied and the effects of bearing clearance on the response of cutter tip are discussed as well, considering unbalanced force. The numerical results show that the bearing clearance strongly affects the equilibrium position. With different values of bearing clearance and rotation speed, the responses of cutter tip exhibit periodic, quasi-periodic and chaotic characteristics. Dynamic characteristics of spindle-cutter system depends on the bearing clearance and rotation speed. The proper bearing clearance and rotation speed should be chosen to ensure a stable cutting and high cutting rate according to the bifurcation diagram. The response of the cutter tip is a quasi-periodic motion when the cutting force is considered. The time-domain response of cutter tip predicted by nonlinear dynamic analysis can provide the basis for machining error prediction.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic characteristic of the spindle-cutter system

Gao¹,

Zhang²,

Wang³

2016

J. vibroeng.

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“…Altintas and Budak [1] use an alternative technique to transform the dynamic milling equations into a time invariant but radial immersion dependent system. Gao and Meng [2] examines the chatter isolated islands and non-linear responses of a spindle milling system supported by ball bearings. The stability trends are then examined for several up-milling and down-milling machining processes respectively, with varying machine tool radial immersions.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Stability of a Motorized High Speed Machine Tool Spindle Supported on Bearings

Shaik¹,

Srinivas

2014

AMM

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Dynamic behaviour of spindle system influences chatter stability of machine tool considerably. Self-excited vibrations of the tool results in unstable cutting process which leads to the chatter on the work surface and it reduces the productivity. In this paper, a system of coupled spindle bearing system is employed by considering the angular contact ball bearing forces on stability of machining. Using Timoshenko beam element formulation, the spindle unit is analyzed by including the gyroscopic and centrifugal terms. Frequency response functions at the tool-tip are obtained from the dynamic spindle model. In the second phase, solid model of the system is developed and its dynamic response is obtained from three dimensional finite element analysis. The works on analysis of the stability of milling processes focus on calculating the stability boundary of the machining parameters based on the dynamic models characterizing the milling processes. The stability lobe diagrams are generated from frequency response functions (FRF’s) lead to an stability limit prediction for the system at high speed ranges.

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Unstable islands and bifurcation analysis in a spindle milling system supported by ball bearings

Cited by 2 publications

References 43 publications

Nonlinear dynamic characteristic of the spindle-cutter system

Nonlinear dynamic characteristic of the spindle-cutter system

Dynamic Stability of a Motorized High Speed Machine Tool Spindle Supported on Bearings

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