A novel stability prediction method for milling operations using the holistic-interpolation scheme

Qin, Chengjin; Tao, Jianfeng; Liu, Chengliang

doi:10.1177/0954406218815716

Cited by 31 publications

(8 citation statements)

References 51 publications

(61 reference statements)

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“…It was shown that the method had higher convergence rate and computation accuracy, validated by comparisons with the semi-discretization method [26]. More recently the so-called semi-analytical holistic interpolation method (HIM) with both high efficiency and accuracy was proposed by Cheng jin and co-worker to predict stability of milling processes which reduce more computational time than Update Full Discretization Method (UFDM) [27].…”

Section: Introductionmentioning

confidence: 96%

Higher Order Semi-Analytical Method: Analysis of Up & Down -Milling Stability of High Speed Machining

Balarabé¹,

Béda²,

Wolfgang³

et al. 2021

IJERAT

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This work presents dynamic stability analysis of general high speed milling process by higher order semi-analytical method. The first order full-discretization method (1 st FDM) and second order full-discretization method (2 nd FDM) are presented. These methods based on the direct integration scheme. The governing mathematical model applied is the delay-differential equation with single time periodic delay taking regenerative effect into account. The stability lobes diagrams are presented for single degree of freedom mechanical model and two degree of freedom mechanical model. Up-milling and down-milling stability chart are presented for various radial immersion ratio in order to compare accuracy of up-and down-milling. It is demonstrated that for full-immersion down-milling and up-milling stability lobes diagram are the same approximatively but in other cases downmilling is more accuracy than up-milling both for single degree of freedom and two degree of freedom.the computational time of calculation of eigenvalue is also variable for different computational parameter. The rate of convergence for half immersion and low immersion is presented for variable parameters.

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Section: Introductionmentioning

confidence: 96%

Higher Order Semi-Analytical Method: Analysis of Up & Down -Milling Stability of High Speed Machining

Balarabé¹,

Béda²,

Wolfgang³

et al. 2021

IJERAT

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show abstract

“…The discretization method has been widely investigated and applied as an interesting and efficient time domain method [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. By equally discretizing the time period and approximating the delayed term with different polynomials, the zeroth-order and first-order semi-discretization methods ( ZSDM and FSDM ) were proposed by Insperger and Stepan, respectively [12,13].…”

Section: Introductionmentioning

confidence: 99%

“…Further, the state, delayed, and periodic coefficient terms were approximated by the holistic-interpolation method in Ref. [18]. Subsequently, third-order [19][20][21][22] and higher-order [23][24][25] FDMs were proposed to increase the precision of the stability prediction.…”

Section: Introductionmentioning

confidence: 99%

Milling stability prediction based on the hybrid interpolation scheme of the Newton and Lagrange polynomials

Xia

Wan

Luo

et al. 2021

Int J Adv Manuf Technol

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The stability lobe diagram (SLD) is commonly used to determine the suitable cutting parameters of the machining system in order to achieve a chatter-free machining process. An improved full discretization method (FDM) is proposed to predict the SLD based on the hybrid interpolation scheme of the Newton and Lagrange polynomials. In order to solve the SLD, a thirdorder Newton polynomial is employed to interpolate the state term of the physical space equation of the system. Meanwhile, to investigate the influence of the interpolation order on predicting the SLD, the delayed term is estimated using the Lagrange polynomials of orders one to four successively. Subsequently, after constructing the transition matrix, a series of calculation for the stability prediction are carried out by applying Floquet theory. The calculated results from these proposed methods demonstrate that the FDM with a second-order Lagrange polynomial is optimal, and further has better computational performance compared with some existing discretization methods. Lastly, the influences of the dynamic parameters on chatter stability are analyzed according to the proposed FDM. When the stiffness and damping ratio increase, the limit cutting depth will be enhanced. The increasing natural frequency not only causes an obvious shift of the lobes to the right, but also raises the limit cutting depth to some extent. These theoretical analyses can guide the prediction and improvement of the chatter stability of a machining system.

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“…The test rig is detailed introduced in the post paper (Wang and Shi, 2021). High accuracy milling machine improves the quality of the test rig (Qin, et al, 2018(Qin, et al, , 2019. Figure 3 shows the main mechanism of the test rig and the schematic of the measurement system.…”

Section: Introduction Of Test Rigmentioning

confidence: 99%

Lubrication characteristics of the worn slipper in the slipper-swashplate pair

Wang

Shi

2021

ILT

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Purpose This paper proposes the lubrication characteristics of the worn slipper in the slipper–swashplate pair. The mathematical analysis of lubrication characteristics of slipper with the measured surface roughness distribution is introduced. Based on the results from the test rig, it carries out the result compassion in different operating conditions. Design/methodology/approach This paper introduces the measured surface roughness distribution of new and used slippers and generates the oil film thickness distribution with it. An average flow Reynolds equation of the pressure distribution is introduced too. The experimental results are carried out on a novel adjustable oil film thickness test rig. Findings The surface roughness of the worn slipper enlarges the reacting force and torque only if the oil film thickness is small. When the ratio of oil film thickness to the root mean square of surface roughness is much smaller than 3, the influence of it on torque is obvious. Originality/value Different surface roughness of worn slipper proposed in this paper has an influence on the lubrication characteristics. As the slipper is worn after a period of use, the changed lubrication characteristics should be considered in the slipper design.

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A novel stability prediction method for milling operations using the holistic-interpolation scheme

Cited by 31 publications

References 51 publications

Higher Order Semi-Analytical Method: Analysis of Up & Down -Milling Stability of High Speed Machining

Higher Order Semi-Analytical Method: Analysis of Up & Down -Milling Stability of High Speed Machining

Milling stability prediction based on the hybrid interpolation scheme of the Newton and Lagrange polynomials

Lubrication characteristics of the worn slipper in the slipper-swashplate pair

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