Research of the spindle overhang and bearing span on the system milling stability

Gao, Shang; Meng, Guang

doi:10.1007/s00419-010-0498-4

Cited by 11 publications

(7 citation statements)

References 17 publications

(14 reference statements)

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“…This paper employs the Galerkin method, averaging technique, and Gauss-Legendre integral procedure to examine the nonlinear vibration of a non-uniform continuous spindle system. The finite element method had been adopted by Gao and Meng (2011) to verify the effectiveness of the dimensional continuous spindle model after the continuous two-step beam model having been established.…”

Section: Discussionmentioning

confidence: 99%

The nonlinear vibration and stability of a non-uniform continuous spindle system with nonlinear and nonsmooth boundaries

Gao

Nong

et al. 2014

Journal of Vibration and Control

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In this paper, the vibrations of a non-uniform continuous Timoshenko beam model for spindle system with nonlinear and nonsmooth boundaries are analyzed. The Galerkin method is used to discretize the governing nonlinear partial differential equations. Then, the averaging technique is applied to obtain the modulation equations. The frequency response curves are presented and variations of the curves with respect to the bearing interference fit value are discussed. As the interference fit value increases, the nonlinearity of system decreases. All curves are found converge asymptotically to the same dimensionless frequency value as the vibration amplitudes increase. Fixed points are also observed near the natural frequencies in the response curves. These above results provide theoretical foundations for further nonlinear dynamic analysis and design of the spindle bearing systems.

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Section: Discussionmentioning

confidence: 99%

The nonlinear vibration and stability of a non-uniform continuous spindle system with nonlinear and nonsmooth boundaries

Gao

Nong

et al. 2014

Journal of Vibration and Control

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“…In general, the stiffness of the bearings is obtained by the non-linear Hertzian rolling contact theory, which theoretically relies on the various assumptions of rolling element and cages. An empirical formulae to assess the static radial stiffness (k b ) of the bearings in terms of ball diameter (D b ), axial preload (F a ), contact angle of static angular-contact ball bearing (θ), and number of balls (N b ) is employed as follows [24]:…”

Section: Modelling Of Spindle-tool Unitmentioning

confidence: 99%

Analytical prediction of chatter stability of end milling process using three-dimensional cutting force model

Shaik

Srinivas

2016

J Braz. Soc. Mech. Sci. Eng.

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“…The effect of the spindle overhang and bearing duration on the frequency response of the spindle bearing mechanism was investigated by Gao and Meng [10]. The continuous two step Timoshenko beam model specifies the transition functions at the spindle nose.…”

Section: Introductionmentioning

confidence: 99%

Design and optimized analysis of high speed precise machine tool spindles

B¹

2021

TURCOMAT

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Upcoming machine tools need to be extremely efficient systems to maintain the needed intellectual performance and stability. The spindle tool system is necessary to optimize which enhances the rigidity of the spindle and in turn produces the cutting stability with higher productivity. Prediction of the dynamic behavior at spindle tool tip is therefore an important criterion for assessing the machining stability of a machine tool at design stage. In this work, a realistic dynamic high-speed spindle /milling tool holder/ tool system model is elaborated on the basis of rotor dynamics predictions. The integrated spindle tool system in analyzed with the Timoshenko beam theory by including the effects of shear and rotary deformation effects. Using the frequency response at the tool tip the corresponding stability lobe diagrams are plotted for the vertical end mill system. Furthermore an optimization study is carried out at design stage for the bearing system and the rotor positions for maximizing the chatter vibration free cutting operation at the desired depth of cuts with precise rotational speeds.It is markedly found that the first mode of vibration had a large impact on the dynamic stability of the system. The parametric studies are conducted such as tool overhang and bearing span and the influence of these on the system dynamics are identified and the corresponding stability lobe diagrams are plotted. It is evidently found that the second mode of the frequency response has critically affected the bearing span and competing lobes are identified. These results are assisted to design a spindle bearing system at the desired machining conditions. A neural network based observer is designed based on the simulation resultsto predict optimum design parameter values.

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Research of the spindle overhang and bearing span on the system milling stability

Cited by 11 publications

References 17 publications

The nonlinear vibration and stability of a non-uniform continuous spindle system with nonlinear and nonsmooth boundaries

The nonlinear vibration and stability of a non-uniform continuous spindle system with nonlinear and nonsmooth boundaries

Analytical prediction of chatter stability of end milling process using three-dimensional cutting force model

Design and optimized analysis of high speed precise machine tool spindles

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