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  1. Science in China Series E: Technological Sciences
  2. Science in China Series E: Technological Sciences : Volume 54
  3. Science in China Series E: Technological Sciences : Volume 54, Issue 12, December 2011
  4. Milling stability analysis using the spectral method
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Science in China Series E: Technological Sciences : Volume 60
Science in China Series E: Technological Sciences : Volume 59
Science in China Series E: Technological Sciences : Volume 58
Science in China Series E: Technological Sciences : Volume 57
Science in China Series E: Technological Sciences : Volume 56
Science in China Series E: Technological Sciences : Volume 55
Science in China Series E: Technological Sciences : Volume 54
Science in China Series E: Technological Sciences : Volume 54, Issue 12, December 2011
On-line chatter detection using servo motor current signal in turning
Milling stability analysis using the spectral method
Variable-step integration method for milling chatter stability prediction with multiple delays
Kinematics constrained five-axis tool path planning for high material removal rate
Defective point data reconstruction based on improved process of morphological operations
Analytical modeling of geometric errors induced by cutter runout and tool path optimization for five-axis flank machining
Numerical simulation of microstructure evolution during directional solidification process in directional solidified (DS) turbine blades
Fault feature enhancement of gearbox in combined machining center by using adaptive cascade stochastic resonance
A multi-dimensional tabu search algorithm for the optimization of process planning
Review of data storage and management technologies for massive remote sensing data
On all-propulsion design of integrated orbit and attitude control for inner-formation gravity field measurement satellite
Free return orbit design and characteristics analysis for manned lunar mission
A two-dimensional Richards equation solver based on CVODE for variably saturated soil water movement
Numerical simulation of sandy bed erosion by 2D vertical jet
Ill-conditioned problems of dam safety monitoring models and their processing methods
Study on heat transfer enhancement of discontinuous short wave finned flat tube
Synthesis and application of a novel combined kinetic hydrate inhibitor
Exergy life cycle assessment model of “CO$_{2}$ zero-emission” energy system and application
Experimental research on nonlinear characteristics of natural convection in a 3-D shallow cavity
High-efficiency magnetophoretic separation based on synergy of magnetic force field and flow field in microchannels
Active harmonic suppression of paralleled 12-pulse rectifier at DC side
Squint-mode InISAR imaging based on nonlinear least square and coordinates transform
The analysis of electrical performances of nanowires silicon solar cells
A numerical method for structural uncertainty response computation
Study on ultrasonic spray technology for the coating of vascular stent
Fatigue reliability assessment for bridge welded details using long-term monitoring data
Investigation on thermophysical properties of reactive powder concrete
Preparation and characterization of laser-irradiation induced amorphous for Ge$_{2}$Sb$_{2}$Te$_{5}$ phase-change materials
Microscopic phase-field study on order-disorder transition of the antiphase domain boundary formed between L1$_{2}$ phases
An experimental investigation on decoupling performance for a lateral axis micromachined gyroscope with varying environmental parameters
Phase control of ellipsometric interferometer for nanometric positioning system
Experimental study on removing NO from flue gas using microwave irradiation over activated carbon carried catalyst
Science in China Series E: Technological Sciences : Volume 54, Issue 1, Supplement,December 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 11, November 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 10, October 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 9, September 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 8, August 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 7, July 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 6, June 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 5, May 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 4, April 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 3, March 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 2, February 2011
Science in China Series E: Technological Sciences : Volume 54, Issue 1, January 2011
Science in China Series E: Technological Sciences : Volume 53
Science in China Series E: Technological Sciences : Volume 52
Science in China Series E: Technological Sciences : Volume 51
Science in China Series E: Technological Sciences : Volume 50
Science in China Series E: Technological Sciences : Volume 49
Science in China Series E: Technological Sciences : Volume 48
Science in China Series E: Technological Sciences : Volume 47
Science in China Series E: Technological Sciences : Volume 46
Science in China Series E: Technological Sciences : Volume 45
Science in China Series E: Technological Sciences : Volume 44
Science in China Series E: Technological Sciences : Volume 43
Science in China Series E: Technological Sciences : Volume 42
Science in China Series E: Technological Sciences : Volume 41
Science in China Series E: Technological Sciences : Volume 40

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Milling stability analysis using the spectral method

Content Provider Springer Nature Link
Author Ding, Ye Zhu, LiMin Zhang, XiaoJian Ding, Han
Copyright Year 2011
Abstract This paper focuses on the development of an efficient semi-analytical solution of chatter stability in milling based on the spectral method for integral equations. The time-periodic dynamics of the milling process taking the regenerative effect into account is formulated as a delayed differential equation with time-periodic coefficients, and then reformulated as a form of integral equation. On the basis of one tooth period being divided into a series of subintervals, the barycentric Lagrange interpolation polynomials are employed to approximate the state term and the delay term in the integral equation, respectively, while the Gaussian quadrature method is utilized to approximate the integral term. Thereafter, the Floquet transition matrix within the tooth period is constructed to predict the chatter stability according to Floquet theory. Experimental-validated one-degree-of-freedom and two-degree-of-freedom milling examples are used to verify the proposed algorithm, and compared with existing algorithms, it has the advantages of high rate of convergence and high computational efficiency.
Starting Page 3130
Ending Page 3136
Page Count 7
File Format PDF
ISSN 16747321
Journal Science in China Series E: Technological Sciences
Volume Number 54
Issue Number 12
e-ISSN 1862281X
Language English
Publisher SP Science China Press
Publisher Date 2011-11-05
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword milling stability delayed differential equation integral equation spectral method Floquet theory Engineering
Content Type Text
Resource Type Article
Subject Engineering Materials Science
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