Research Progress of Chatter Stability Analysis for Milling Process in Time-Domain

In this paper, time domain simulation has been carried out to study the chatter stability of milling process. Dynamic chip thickness is calculated by analyzing the kinematics of the cutter, and thus dynamic governing equation revealing the dynamic behaviors between the cutter and workpiece is established. Solving framework is constructed by using the Simulink module and S-Function of Matlab software, and dynamic deflection is achieved with the four-order Runge-Kutta algorithm. With the simulated cutting forces, a criterion for the construction of the stability lobe is suggested. At the same time, algorithm for the prediction of the surface topography involving the dynamic response of the machining system is developed.

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Estimating Cutting Force Coefficients in High-Speed Low-Radial-Immersion Milling Processes

Volume 2: Dynamic Modeling and Diagnostics in Biomedical Systems; Dynamics and Control of Wind Energy Systems; Vehicle Energy Management Optimization; Energy Storage, Optimization; Transportation and Grid Applications; Estimation and Identification Methods, Tracking, Detection, Alternative Propulsion Systems; Ground and Space Vehicle Dynamics; Intelligent Transportation Systems and Control; Energy Harvesting; Modeling and Control for Thermo-Fluid Applications, IC Engines, Manufacturing ◽

10.1115/dscc2014-5930 ◽

2014 ◽

Author(s):

Josiah A. Bryan ◽

Roger C. Fales

Keyword(s):

Stability Analysis ◽

Cutting Force ◽

High Speed ◽

Milling Process ◽

Model Parameters ◽

Tool Deflection ◽

Chatter Stability ◽

Cutting Force Coefficients ◽

Force Coefficients ◽

Low Radial Immersion

A high-speed milling system is considered, which is prone to chatter vibration, a stability condition dependent on system parameters (e.g., cutting force coefficients). This work is motivated by the need for model parameters which can be used in stability analysis. An Extended Kalman Filter (EKF) is proposed to estimate cutting force coefficients for each tooth in a low-radial-immersion milling process to aid chatter stability prediction. The proposed EKF utilizes tool deflection measurements and no force measurements. The model used in the EKF is found to be observable, a quality required to achieve valid state estimations. Running the EKF with experimental tool deflection measurements produces estimates of cutting force coefficients that result in good correlation between simulation (using the estimated coefficients) and experiment. Such an EKF may help customize chatter stability analysis to any particular tool-workpiece system.

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Stability Analysis of Milling Process With Time-Varying Delays Via Lyapunov-Krasovskii Functional

2020 39th Chinese Control Conference (CCC) ◽

10.23919/ccc50068.2020.9189269 ◽

2020 ◽

Author(s):

Jiang He ◽

Chen Yan ◽

Hong-Zhang Wang ◽

Dan-Yun Li

Keyword(s):

Stability Analysis ◽

Milling Process ◽

Time Varying

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Dynamic Stability Analysis of Backhoe Dredger Based on Time Domain Method

Journal of Shanghai Jiaotong University (Science) ◽

10.1007/s12204-021-2272-x ◽

2021 ◽

Author(s):

Yihua Chen ◽

Xinquan Chen ◽

Qi Yang ◽

Yiping Ouyang

Keyword(s):

Stability Analysis ◽

Dynamic Stability ◽

Time Domain ◽

Time Domain Method ◽

Domain Method

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Mechanics and Dynamics of Multifunctional Tools

Journal of Manufacturing Science and Engineering ◽

10.1115/1.4028749 ◽

2015 ◽

Vol 137 (1) ◽

Cited By ~ 25

Author(s):

Min Wan ◽

Zekai Murat Kilic ◽

Yusuf Altintas

Keyword(s):

Time Domain ◽

Prediction Models ◽

Chip Thickness ◽

Combined Processes ◽

Multiple Delays ◽

Stability Prediction ◽

Chatter Stability ◽

Regenerative Effect ◽

Hole Making ◽

Chatter Stability Prediction

The mechanics and dynamics of the combined processes are presented for multifunctional tools, which can drill, bore, and chamfer holes in one operation. The oblique cutting forces on each cutting edge with varying geometry are modeled first, followed by their transformations to tangential, radial, and axial directions of the cutter. The regenerative effect of lateral and torsional/axial vibrations is considered in predicting the dynamic chip thickness with multiple delays due to distribution of cutting edges on the cutter body. The lateral and torsional/axial chatter stability of the complete hole making operation is predicted in semidiscrete time domain. The proposed static cutting force and chatter stability prediction models are experimentally proven for two different multifunctional tools in drilling Aluminum Al7050 and Steel AISI1045.

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Gain-phase margins-based delay-dependent stability analysis of pitch control system of large wind turbines

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331219834605 ◽

2019 ◽

Vol 41 (13) ◽

pp. 3626-3636 ◽

Cited By ~ 9

Author(s):

Omer Turksoy ◽

Saffet Ayasun ◽

Yakup Hames ◽

Sahin Sonmez

Keyword(s):

Control System ◽

Stability Analysis ◽

Wind Turbines ◽

Time Domain ◽

Dynamic Performance ◽

Pitch Control ◽

Wide Range ◽

Delay Dependent ◽

Delay Dependent Stability ◽

Large Wind

This paper investigates the effect of gain and phase margins (GPMs) on the delay-dependent stability analysis of the pitch control system (PCS) of large wind turbines (LWTs) with time delays. A frequency-domain based exact method that takes into account both GPMs is utilized to determine stability delay margins in terms of system and controller parameters. A gain-phase margin tester (GPMT) is introduced to the PCS to take into GPMs in delay margin computation. For a wide range of proportional–integral controller gains, time delay values at which the PCS is both stable and have desired stability margin measured by GPMs are computed. The accuracy of stability delay margins is verified by an independent algorithm, Quasi-Polynomial Mapping Based Rootfinder (QPmR) and time-domain simulations. The time-domain simulation studies also indicate that delay margins must be determined considering GPMs to have a better dynamic performance in term of fast damping of oscillations, less overshoot and settling time.

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