Dynamic modeling and stability analysis for the combined milling system with variable pitch cutter and spindle speed variation

Jin, Gang; Qi, Houjun; Li, Zhanjie; Han, Jianxin

doi:10.1016/j.cnsns.2018.03.004

Cited by 30 publications

(17 citation statements)

References 41 publications

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“…us, the cutting force acting on the whole axial cutting height is the integration of differential force with respect to the differential axial depth dz along the compliant direction of the workpiece, as shown in Figure 1(c). If the nonlinear force model suggested in [32] is considered, the cutting force here can be expressed as…”

Section: Cutting Force F X (T)mentioning

confidence: 99%

“…where RVA � Ω 1 /Ω 0 is the ratio of the speed variation amplitude to the nominal spindle speed and RVF � 60/(Ω 0 T m ) is the ratio of the speed variation frequency to the nominal spindle speed, are considered the same as [32], the angular position ϕ j (t) can be defined by…”

Section: Angular Position ϕ J (T)mentioning

confidence: 99%

“…Recently, Jin et al [32] constructed a new dynamic model to investigate the potential of chatter suppression for the milling process in which the variable pitch cutter and variable spindle speed (VPCVSS) are considered simultaneously. Results show that the combined effect of VPC and VSS on improving the stability region exists and it is more remarkable in certain cases.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference

Jin

Jiang

Han

et al. 2021

Mathematical Problems in Engineering

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Suppression of milling chatter by disrupting regenerative effect is a well-known method to obtain higher cutting stability domain. In this paper, a dynamic model of the milling process with variable spindle speed and pitch angle considering helix angle and process phase difference is presented. Then, an updated semidiscretization method is applied to obtain the stability chart. After the effectiveness of the proposed method is confirmed by comparisons with the previously published works and the time-domain simulations, lots of analyses are conducted to deeply evaluate the influence of the helix angle, the process phase difference, and feed per tooth on milling stability. Results show that the change of helix angle can result in significant stability discrepancies for both high-speed and low-speed regions. Though the process phase difference has the randomness and immeasurability in the practical application, it has an important influence on the stability and will result in a periodic evolution of the stability with a period π. Also, its recommended values are given for the practical milling process.

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Section: Cutting Force F X (T)mentioning

confidence: 99%

Section: Angular Position ϕ J (T)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference

Jin

Jiang

Han

et al. 2021

Mathematical Problems in Engineering

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“…Using the finite element analysis method [25] and the multiple delays semi-discretization method presented in Ref. [26][27][28][29][30], the milling stability of cutter-workpiece system by VPC and VSS can be obtained. The new SLD was obtained as the computational flow of SLD shown in Fig.…”

Section: Numerical Simulationmentioning

confidence: 99%

Dynamic milling stability prediction of thin-walled components based on VPC and VSS combined method

Zhang

Hao

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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In the milling process, the coupling deflection and the dynamic characteristics of the cutter-workpiece system are time variant as the material removal and the change of cutter position. The milling stability of the system is dynamic because of the time-varying stiffness. In this study, the model of time-varying system has been developed. Variable pitch cutter (VPC) and variable spindle speed (VSS) are, respectively, typical method of passive control and active control to suppress the chatter, and two methods are compatible. The arithmetic of VPC and VSS combined method has been developed and verified effectively. Dynamic milling stability prediction of stiffness time-varying system for thin-walled components based on VPC and VSS combined method has been developed. And then, the dynamic milling stability of stiffness time-varying system for thin-walled components has been predicted. Keywords Thin-walled components • Dynamic milling stability • Stiffness time-varying system • VPC & VSS • SLD k Modal stiffness (N/mm) ξ Damping ratio ω n Natural frequency (Hz)

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“…Recent investigations combine various strategies for process damping and the disturbance of the regenerative effect using process simulation for the configuration of stable milling processes. For example, a structuring of the functional surfaces of a milling tool led to a significantly higher process stability [5], as well as the combination of a variation of the spindle speed and the pitch angle [46]. Adaptions of the tool path for, e.g., maximizing the axial depth of cut in five-axis ball-end milling [47] or minimizing the tool engagement angle in plunge milling [48], can also be used to increase the process stability and productivity.…”

Section: System Damping Enhancementmentioning

confidence: 99%

Disturbance of the Regenerative Effect by Use of Milling Tools Modified with Asymmetric Dynamic Properties

Baumann

Wirtz

Siebrecht

et al. 2020

JMMP

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Milling processes are often limited by self-excited vibrations of the tool or workpiece, generated by the regenerative effect, especially when using long cantilevered tools or machining thin-walled workpieces. The regenerative effect arises from a periodic modulation of the uncut chip thickness within the frequencies of the eigenmodes, which results in a critical excitation in the consecutive cuts or tooth engagements. This paper presents a new approach for disturbing the regenerative effect by using milling tools which are modified with asymmetric dynamic properties. A four-fluted milling tool was modified with parallel slots in the tool shank in order to establish asymmetric dynamic characteristics or different eigenfrequencies for consecutive tooth engagements, respectively. Measurements of the frequency response functions at the tool tip showed a decrease in the eigenfrequencies as well as an increase in the dynamic compliance in the direction of the grooves. Milling experiments with a constant width of cut and constantly increasing axial depth of cut indicated a significant increase in the stability limit for the specific preparations of up to 69%.

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Dynamic modeling and stability analysis for the combined milling system with variable pitch cutter and spindle speed variation

Cited by 30 publications

References 41 publications

Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference

Stability Analysis of Milling Process with Variable Spindle Speed and Pitch Angle considering Helix Angle and Process Phase Difference

Dynamic milling stability prediction of thin-walled components based on VPC and VSS combined method

Disturbance of the Regenerative Effect by Use of Milling Tools Modified with Asymmetric Dynamic Properties

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