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Journal articles on the topic 'Constrained cutting'

Author: Grafiati

Published: 6 September 2023

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1

Lu, Zhenguo, Hongbin Wang, Qingliang Zeng, Zhiwen Wang, Lirong Wan, and Changjiang Li. "Research on Cutting Performance of Conical Pick Cutting Rock Plate with One Side Constrain and Three Sides Free." Science Progress 105, no. 1 (January 2022): 003685042210791. http://dx.doi.org/10.1177/00368504221079191.

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To improve the conical pick cutting performance by per cutting to the free surface. The cutting performance of rock and rock plate breaking are investigated by theoretical and experimental methods. Analyzed the fracture position of the rock plate with constrained one side by the pick to study the effect of rock properties and the rock plate structural parameters on cutting force. The results indicated that the rock plate fracture is mainly from the constrained side and center of the rock plate. The cutting force of the conical pick is significantly affected by the rock plate structural parameters and the constraint sides of the rock plate number. The cutting force increases obviously with the increase of plate thickness, cutting point depth, and the rock uniaxial compressive strength. However, the influence of rock plate constrains sides number is opposite. It provides a basis for improving the cutting performance of pick and predicting the rock plate fracture.

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2

Liu, Gang, Ming Chen, Peng Nan Li, Qing Zhen Bi, and Bao Cai Guo. "Multi-Constrained Analysis of Metal Cutting and its Application." Key Engineering Materials 589-590 (October 2013): 38–44. http://dx.doi.org/10.4028/www.scientific.net/kem.589-590.38.

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The concept of multi-constrained analysis of the cutting process is presented for the first time in the paper. The paper adopts a method to solve an important problem which is how to judge the influence of constrains during the cutting process. The research results are applied for HSS drills for cutting stainless steel. On the basis of the multi-constrained analysis combined with methods of simulations and standard experiments, the optimum methods are provided for structure, coating and cutting parameters of cutting tools. For geometric structure of tools, optimization is to increase thickness of cutting and rake angle. Coating optimization strategy is choosing high temperature hardness and low thermal conductivity coating. Optimization of cutting parameter is to adjust feed fate, then select proper cutting speed. The conclusion of paper is helpful for the cutting optimization.

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3

Petrushin, S. I., and R. Kh Gubaidulina. "Chip Formation in Constrained Cutting." Russian Engineering Research 38, no. 8 (August 2018): 645–50. http://dx.doi.org/10.3103/s1068798x18080117.

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4

Petrushin, S. I., and A. V. Proskokov. "Theory and geometry of constrained cutting." Russian Engineering Research 29, no. 11 (November 2009): 1132–39. http://dx.doi.org/10.3103/s1068798x09110136.

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5

Juyong Zhang, Jianmin Zheng, and Jianfei Cai. "Interactive Mesh Cutting Using Constrained Random Walks." IEEE Transactions on Visualization and Computer Graphics 17, no. 3 (March 2011): 357–67. http://dx.doi.org/10.1109/tvcg.2010.57.

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6

Hifi, Mhand, and Rym M'Hallah. "Approximate algorithms for constrained circular cutting problems." Computers & Operations Research 31, no. 5 (April 2004): 675–94. http://dx.doi.org/10.1016/s0305-0548(03)00020-0.

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7

Hough, C. L., and Y. Chang. "Constrained Cutting Rate-Tool Life Characteristic Curve, Part 1: Theory and General Case." Journal of Manufacturing Science and Engineering 120, no. 1 (February 1, 1998): 156–59. http://dx.doi.org/10.1115/1.2830092.

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The concept of a cutting rate-tool life (R-T) characteristic curve is extended to the general machining economics problem (MEP) with a quadratic-logarithmic tool life and constraint equations. The R-T characteristic curve presents the general loci of optima, which is useful in selecting optimal parameters for multiple machining conditions. The necessary and sufficient conditions for the global optimum of the unconstrained MEP are presented. These conditions are equivalently applied to the concept of the constrained R-T characteristic curve. In terms of quadratic geometric programming the objective function and constraints of the general MEP are called as quadratic posylognomials (QPL). The QPL problems are classified as convex and nonconvex and the convexity is determined by the second order terms of the tool life model. Nonlinear programming and an exhaustive method are demonstrated to determine the R-T characteristic curve for three cases of posynomial, convex QPL, and non-convex QPL problems.

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8

Cui, Yue, Guo Hua Qin, and Hai Chao Ye. "Advanced Iterative Approach to Locating Point Layout for Computer Aided Fixture Design." Applied Mechanics and Materials 148-149 (December 2011): 403–8. http://dx.doi.org/10.4028/www.scientific.net/amm.148-149.403.

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In the machining process, the parts dimension, geometric shape and the formation of the relative position between the surfaces, depended on the position of the workpiece related to the cutting tool in cutting motion process, while the realization of this mutual position relationship is through locating points layout restricts parts DOFs. For this reason, this paper presents the conceptions of theoretical constrained DOFs and Practical constrained DOFs, at the same time the paper innovatively presents locating points layout determination algorithm for complex parts. Firstly, established the DOFs limit model according to the condition that parts of absolute velocity is zero in the machining precision requirements, theoretical constrained DOFs is expressed as the function relation of machining precision requirements. Secondly, establishing the model of locating points layout according to the constraint condition that parts of normal absolute velocity is zero in the position of locating points, and describing Practical constrained DOFs as the function relation between the position of locating points and normal vector. Then, according to the relationships between theoretical constrained DOFs and solves the model of locating points layout, constructed the automatic design algorithm of locating points layout. Finally, according to the proposed design algorithm, developed design and analysis modules of locating points layout by VC6.0 in the UG environment.

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9

Kim, Jinhak, Mohit Tawarmalani, and Jean-Philippe P. Richard. "On cutting planes for cardinality-constrained linear programs." Mathematical Programming 178, no. 1-2 (June 6, 2018): 417–48. http://dx.doi.org/10.1007/s10107-018-1306-0.

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10

Parada Daza, Víctor, Arlindo Gómes de Alvarenga, and José de Diego. "Exact solutions for constrained two-dimensional cutting problems." European Journal of Operational Research 84, no. 3 (August 1995): 633–44. http://dx.doi.org/10.1016/0377-2217(95)00028-o.

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11

Petrushin, S. I., and A. V. Proskokov. "Theory of constrained cutting: Calculating the stress-strain state in the cutting zone." Russian Engineering Research 30, no. 2 (February 2010): 133–37. http://dx.doi.org/10.3103/s1068798x10020085.

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12

Hirsh, Bruce R. "The WTO Bananas Decision: Cutting Through the Thicket." Leiden Journal of International Law 11, no. 2 (June 1998): 201–27. http://dx.doi.org/10.1017/s0922156598000168.

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The Bananas decision demonstrated that WTO dispute settlement panels and the Appellate Body are capable of effectively and clearly analyzing whether extremely complex measures are consistent with WTO rules. The trade-liberalizing decision established the General Agreement on Trade in Services (GATS) as a meaningful constraint on discriminatory measures with an impact on both goods and services and clarified the nature of the GATS Most-Favoured Nation (MFN) obligation. The decision also severely constrained the ability of the EU to justify non-tariff discriminatory measures such as the quota allocation system at issue in Bananas based on the Lomé waiver.

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13

O’Connor, Kristian M., Sarika K. Monteiro, and Ian A. Hoelker. "Comparison of Selected Lateral Cutting Activities Used to Assess ACL Injury Risk." Journal of Applied Biomechanics 25, no. 1 (February 2009): 9–21. http://dx.doi.org/10.1123/jab.25.1.9.

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The purpose of this study was to compare the knee joint dynamics for males and females performing constrained cutting tasks to an unanticipated running and cutting maneuver. Sixteen male and 17 female recreational athletes were recruited to perform four cutting tasks; unanticipated run and cut (CUT), stride land and cut (SLC), far box-land and cut (FLC), and close box-land and cut (CLC). Three-dimensional knee joint kinematics and kinetics were recorded. Data were compared across gender and task with a 2 × 4 ANOVA (p< .05), and a factor analysis was performed to examine task relationships. There were significant group mean differences between the tasks and across genders. The factor analysis revealed high correlations between the three constrained tasks, but for variables typically associated with ACL injury risk there was a poor relationship to the CUT task. This was particularly true for the frontal plane variables. The constrained tasks were only moderately useful in predicting cutting mechanics.

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14

Shishlyannikov, Dmitriy, and Ivan Zvonarev. "Investigation of the Destruction Process of Potash Ore with a Single Cutter Using Promising Cross Cutting Pattern." Applied Sciences 11, no. 1 (January 5, 2021): 464. http://dx.doi.org/10.3390/app11010464.

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The creation of modern machines and improvement of existing designs of rock cutting bodies of combines is constrained by the lack of experimental studies of the process of separation of successive elementary cleavages during the potash ore cutting with cutters of winning machines. The potential of the cross cutting pattern of potash ore is shown, since the formation of zones of localization of weakening and induced fractures on the surface of layer-by-layer cutting face determines the separation of the elementary cleavages with stable geometric parameters. The verification of the conclusions obtained theoretically was carried out during laboratory tastings on a specially designed bench. The research procedure provided for comparative tests of the potash block ore cutting, staggered and cross cuttings. It has been proven that the use of the cross pattern for set cutting parameters makes it possible to reduce the specific energy costs of the cutting of potash mass, to reduce the average load on the cutter, to reduce the root-mean-square deviation, and to reduce the number of fractions that are hard to enrich in the crushing products, compared to the traditional staggered cutting pattern.

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15

Zhang, Jinfeng, Hao Wang, Yongsheng Ren, Chao Feng, and Chunjin Zhang. "Chatter and Stability Analysis of the Slender Composite Boring Bar with Constrained Damping Layer." Applied Sciences 10, no. 13 (June 30, 2020): 4537. http://dx.doi.org/10.3390/app10134537.

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This study investigates the chattering stability of the composite boring bar with a constrained damping layer during the deep-hole boring process in depth. Based on the Euler-Bernoulli beam theory, the regenerative chattering linear kinetic model of the composite boring bar with a constrained damping layer was established, and the computational formulas of the rotating speed of the spindle and the corresponding limit cutting depth were derived. By analyzing the chattering stability, the cutting stability lobe curves of the composite boring bar with a constrained damping layer were plotted so as to reveal the effects of the materials of both base layer and constrained layer, the ply angle, the damping composite structure (free or constrained damping structure) and the thickness of various layers on the chattering stability of the boring bar. Through the analysis of dynamic stiffness, the chatter stability analysis theory of a composite boring bar with a constrained damping layer is verified.

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16

Ma, Yan, and Chun Mei Yang. "The Cutting Optimization of the CNC Bothway Panel Saw under the Technology Constraint." Advanced Materials Research 308-310 (August 2011): 908–13. http://dx.doi.org/10.4028/www.scientific.net/amr.308-310.908.

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This paper is based on the urgent problem of furniture industry that is to increase the utilization of sheet material and improve the speed of sheet material discharging as the goal. To the problem of the cutting and nesting of the artificial board of CNC bothway Panel Saw analyses the “one size fits all” which under the technology constraint proposed the constrained condition of optimization of cutting. And optimization algorithm of two-dimensional sheet material nesting of rectangular pieces is studied and established a mathematical model. Using the Heuristic algorithm to solve the problem of two-dimensional rectangular pieces. The introduction of rules of location rules, combination rules and adjacency rules to make nesting layout reasonable and make the cutting process simplify.

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17

Weintraub, Andrés, and Jorge Vera. "A Cutting Plane Approach for Chance Constrained Linear Programs." Operations Research 39, no. 5 (October 1991): 776–85. http://dx.doi.org/10.1287/opre.39.5.776.

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18

Cui, Y., and Q. Chen. "Simple heuristic for the constrained two-dimensional cutting problem." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 226, no. 3 (October 24, 2011): 565–72. http://dx.doi.org/10.1177/0954405411421996.

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19

Cardozo, C., W. van Ackooij, and L. Capely. "Cutting plane approaches for frequency constrained economic dispatch problems." Electric Power Systems Research 156 (March 2018): 54–63. http://dx.doi.org/10.1016/j.epsr.2017.11.001.

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20

Zhe Sun, Zengke Zhang, Huangang Wang, and Min Jiang. "Cutting Plane Method for Continuously Constrained Kernel-Based Regression." IEEE Transactions on Neural Networks 21, no. 2 (February 2010): 238–47. http://dx.doi.org/10.1109/tnn.2009.2035804.

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21

Beliakov, Gleb. "Cutting angle method – a tool for constrained global optimization." Optimization Methods and Software 19, no. 2 (April 2004): 137–51. http://dx.doi.org/10.1080/10556780410001647177.

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22

Cui, Yaodong. "Fast heuristic for constrained homogenous T-shape cutting patterns." Applied Mathematical Modelling 36, no. 8 (August 2012): 3696–711. http://dx.doi.org/10.1016/j.apm.2011.11.005.

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23

Chen, Yuanyan. "A recursive algorithm for constrained two-dimensional cutting problems." Computational Optimization and Applications 41, no. 3 (October 26, 2007): 337–48. http://dx.doi.org/10.1007/s10589-007-9103-3.

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24

Demassey, Sophie, Christian Artigues, and Philippe Michelon. "Constraint-Propagation-Based Cutting Planes: An Application to the Resource-Constrained Project Scheduling Problem." INFORMS Journal on Computing 17, no. 1 (February 2005): 52–65. http://dx.doi.org/10.1287/ijoc.1030.0043.

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25

Strenkowski, J. S., and S. M. Athavale. "A Partially Constrained Eulerian Orthogonal Cutting Model for Chip Control Tools." Journal of Manufacturing Science and Engineering 119, no. 4B (November 1, 1997): 681–88. http://dx.doi.org/10.1115/1.2836809.

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A partially constrained Eulerian finite element model for orthogonal machining with chip control tools is described. A new constrained free surface algorithm was developed in which the chip thickness was constrained to be uniform along the length of the chip. Using the model, the deformed chip shape and thickness, chip-tool contact, and the velocity, strain, stress, and temperature distributions can be determined. Simulations for machining of stainless steel 304 (SS 304) with obstruction and groove tools are presented. Good agreement was found, between measured and predicted tool forces and chip thicknesses.

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26

Zhang, Chuanwei, Feiyan Han, and Wu Zhang. "A cutting sequence optimization method based on tabu search algorithm for complex parts machining." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 233, no. 3 (January 23, 2018): 745–55. http://dx.doi.org/10.1177/0954405417752527.

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Defining the cutting sequence of each cutter scientifically in the process of removing the allowance has an important influence on the machining efficiency for complex parts, which have multiple machining features. In order to satisfy the needs of high efficiency for rough machining, after determining the tool path of the machining region, a cutting sequence optimization method based on the tabu search algorithm is presented to define the cutting order in rough machining of complex parts. First, a cutting sequence optimization mathematical model is established, which relates to the shortest total length of the tool path. Second, through the problem analysis, the cutting sequence optimization model is converted into an open and constrained traveling salesman problem. And then, the optimization model is solved by dealing with an open and constrained traveling salesman problem using the tabu search algorithm. Finally, the optimal cutting sequence of machining a casing part is calculated, and a simulation and experiment are carried out. The result shows that the optimization approach presented in this article can optimize the cutting sequence and cutter position of advance and retract. Compared with the non-optimized cutting sequence method, the total length of tool path is reduced by 16.7%, the cutter lifting times are reduced to 26, and the efficiency is increased by 21.62%.

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27

Gomez, Michael, and Tony Schmitz. "Stability Evaluation for a Damped, Constrained-Motion Cutting Force Dynamometer." Journal of Manufacturing and Materials Processing 6, no. 1 (February 10, 2022): 23. http://dx.doi.org/10.3390/jmmp6010023.

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This paper describes the dynamic stability evaluation of a constrained-motion dynamometer (CMD) with passive damping. The CMD’s flexure-based design offers an alternative to traditional piezoelectric cutting force dynamometers, which can exhibit adverse effects of the complex structural dynamics on the measurement accuracy. In contrast, the CMD system’s structural dynamics are nominally single degree of freedom and are conveniently altered by material selection, flexure element geometry, and element arrangement. In this research, a passive damping approach is applied to increase the viscous damping ratio and, subsequently, the stability limit. Cutting tests were completed and the in situ CMD displacement and velocity signals were sampled at the spindle rotating frequency. The periodic sampling approach was used to determine if the milling response was synchronous with the spindle rotation (stable) or not (chatter) by constructing Poincaré maps for both experiment and prediction (time-domain simulation). It was found that the viscous damping coefficient was increased by 130% and the critical stability limit was increased from 4.3 mm (no damping) to 15.4 mm (with damping).

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28

Wang, Yi-Chi, Ming-Jun Wang, and Sung-Chi Lin. "Selection of cutting conditions for power constrained parallel machine scheduling." Robotics and Computer-Integrated Manufacturing 43 (February 2017): 105–10. http://dx.doi.org/10.1016/j.rcim.2015.10.010.

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29

Beasley, J. E. "A population heuristic for constrained two-dimensional non-guillotine cutting." European Journal of Operational Research 156, no. 3 (August 2004): 601–27. http://dx.doi.org/10.1016/s0377-2217(03)00139-5.

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30

Parada, Víctor, Mauricio Sepúlveda, Mauricio Solar, and Arlindo Gómes. "Solution for the constrained guillotine cutting problem by simulated annealing." Computers & Operations Research 25, no. 1 (January 1998): 37–47. http://dx.doi.org/10.1016/s0305-0548(98)80006-3.

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31

Hifi, Mhand, Rym M'Hallah, and Toufik Saadi. "Algorithms for the Constrained Two-Staged Two-Dimensional Cutting Problem." INFORMS Journal on Computing 20, no. 2 (May 2008): 212–21. http://dx.doi.org/10.1287/ijoc.1070.0233.

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32

Ghandforoush, Parviz, and John J. Daniels. "A Heuristic Algorithm for the Guillotine Constrained Cutting Stock Problem." ORSA Journal on Computing 4, no. 3 (August 1992): 351–56. http://dx.doi.org/10.1287/ijoc.4.3.351.

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33

Amaral, Andre R. S., and Mike Wright. "Efficient Algorithm for the Constrained Two‐dimensional Cutting Stock Problem." International Transactions in Operational Research 8, no. 1 (January 2001): 3–13. http://dx.doi.org/10.1111/1475-3995.00002.

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34

Cui, Yaodong, and Baixiong Huang. "Heuristic for constrained T-shape cutting patterns of rectangular pieces." Computers & Operations Research 39, no. 12 (December 2012): 3031–39. http://dx.doi.org/10.1016/j.cor.2012.03.001.

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35

Xu, Ke, Jiarui Wang, Chih-Hsing Chu, and Kai Tang. "Cutting force and machine kinematics constrained cutter location planning for five-axis flank milling of ruled surfaces." Journal of Computational Design and Engineering 4, no. 3 (February 27, 2017): 203–17. http://dx.doi.org/10.1016/j.jcde.2017.02.003.

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Abstract Five-axis flank milling has been commonly used in the manufacturing of complex workpieces because of its greater productivity than that of three-axis or five-axis end milling. The advantage of this milling operation largely depends on effective cutter location planning. The finished surface sometimes suffers from large geometrical errors induced by improper tool positioning, due to the non-developability of most ruled surfaces in industrial applications. In addition, a slender flank-milling cutter may be deflected when subjected to large cutting forces during the machining process, further degrading the surface quality or even breaking the cutter. This paper proposes a novel tool path planning scheme to address those problems. A simple but effective algorithm is developed to adaptively allocate a series of cutter locations over the design surface with each one being confined within an angular rotation range. The allocation result satisfies a given constraint of geometrical errors on the finished surface, which consists of the tool positioning errors at each cutter location and the sweeping errors between consecutive ones. In addition, a feed rate scheduling algorithm is proposed to maximize the machining efficiency subject to the cutting force constraint and the kinematical constraints of a specific machine configuration. Simulation and experimental tests are conducted to validate the effectiveness of the proposed algorithms. Both the machining efficiency and finish surface quality are greatly improved compared with conventional cutter locations. Highlights Tool position is bounded with respect to the geometrical machining error. Cutting force and kinematics during five-axis flank milling process are analyzed. An incremental adaptive flank milling tool path generation algorithm is proposed. Feed rate is smoothly assigned respecting cutting force and kinematic constraints.

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36

Bonţiu Pop, Alina Bianca, and Mircea Lobonţiu. "The Influence of Feed per Tooth Variation on Surface Roughness of 7136 Aluminum Alloy in End Milling." Applied Mechanics and Materials 808 (November 2015): 34–39. http://dx.doi.org/10.4028/www.scientific.net/amm.808.34.

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This paper fits into an experimental researches complex, regarding the surface roughness dependency on the cutting parameters of 7136 aluminum alloy machining. The purpose of this paper is to identify by experiments the influence of feed per tooth variation on surface roughness. A range of feed per tooth was used while the cutting speed and the cutting depth were constrained per minimum and maximum requirements defined for the given cutting tool. The experiments were conducted on Al7136 because it is a new material and I have identified the need for its use in the aircraft industry.

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37

Hough, C. L., and Y. Chang. "Constrained Cutting Rate-Tool Life Characteristic Curve, Part 2: Convex Programs." Journal of Manufacturing Science and Engineering 120, no. 1 (February 1, 1998): 160–65. http://dx.doi.org/10.1115/1.2830093.

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Based on the concept in Part 1, Theory and General Case, algorithms to determine the constrained R-T characteristic curve are established for convex constrained machining economics problems. The first algorithm is for posynomial problems with the linear-logarithmic tool life equation. The R-T curve may be determined by applying the simplex method to the log-dual problems. Sensitivity analysis of the optimal simplex tableau enables obtaining the loci of optima easily. The second algorithm is for the quadratic posylognomial problems with quadratic-logarithmic tool life equation using the property of primal-dual feasibility. End milling examples constructed in Part 1 illustrate the algorithm comparing to the exhaustive method.

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38

Korlos, Apostolos, and Theodoros I. Kosmanis. "Optimal Solution of Multi-Pass Turning Processes by Means of the Differential Evolutionary Algorithm for Constraint Problems." Applied Mechanics and Materials 809-810 (November 2015): 165–70. http://dx.doi.org/10.4028/www.scientific.net/amm.809-810.165.

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The implementation of the Differential Evolutionary Algorithm for the solution of a multi-pass turning optimization problem is presented in this paper. The optimization of a multi-pass turning process is a highly demanding problem due to the number of constraints imposed. A specific variation of the Differential Evolutionary Algorithm appropriate for the treatment of constrained problems is used. It is based on the separation of candidate solutions into those that satisfy all constraints and those that do not and the simultaneous execution of two optimization algorithms. Numerical results from the minimization of the production cost of a popular multi-pass turning problem with six degrees of freedom, namely cutting speed, feed rate and depth of cut of rough machining and finishing, validate the methodology. The selected problem is characterized by a number of equally stepped roughing passes and a final finishing pass of the cutting tool in order to obtain the desired metal part removal from the initial workpiece.

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39

Daniels, John J., and Parviz Ghandforoush. "An Improved Algorithm for the Non-Guillotine-Constrained Cutting-Stock Problem." Journal of the Operational Research Society 41, no. 2 (February 1990): 141. http://dx.doi.org/10.2307/2583733.

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40

Kobayashi, Ken, Yuichi Takano, and Kazuhide Nakata. "Bilevel cutting-plane algorithm for cardinality-constrained mean-CVaR portfolio optimization." Journal of Global Optimization 81, no. 2 (July 8, 2021): 493–528. http://dx.doi.org/10.1007/s10898-021-01048-5.

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41

Viswanathan, K. V., and A. Bagchi. "Best-First Search Methods for Constrained Two-Dimensional Cutting Stock Problems." Operations Research 41, no. 4 (August 1993): 768–76. http://dx.doi.org/10.1287/opre.41.4.768.

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42

Cui, Yaodong, and Baixiong Huang. "A heuristic for constrained T-shape cutting patterns of circular items." Engineering Optimization 43, no. 8 (August 2011): 867–77. http://dx.doi.org/10.1080/0305215x.2010.522708.

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43

Daniels, John J., and Parviz Ghandforoush. "An Improved Algorithm for the Non-Guillotine-Constrained Cutting-Stock Problem." Journal of the Operational Research Society 41, no. 2 (February 1990): 141–49. http://dx.doi.org/10.1057/jors.1990.22.

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44

Hifi, Mhand, and Rym M'Hallah. "An Exact Algorithm for Constrained Two-Dimensional Two-Staged Cutting Problems." Operations Research 53, no. 1 (February 2005): 140–50. http://dx.doi.org/10.1287/opre.1040.0154.

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45

Hifi, Mhand, and Toufik Saadi. "A cooperative algorithm for constrained two-staged two-dimensional cutting problems." International Journal of Operational Research 9, no. 1 (2010): 104. http://dx.doi.org/10.1504/ijor.2010.034363.

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46

Alvarez-Valdes, R., F. Parreño, and J. M. Tamarit. "A GRASP algorithm for constrained two-dimensional non-guillotine cutting problems." Journal of the Operational Research Society 56, no. 4 (April 2005): 414–25. http://dx.doi.org/10.1057/palgrave.jors.2601829.

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47

Hifi, Mhand, Stephane Negre, Rachid Ouafi, and Toufik Saadi. "A parallel algorithm for constrained two-staged two-dimensional cutting problems." Computers & Industrial Engineering 62, no. 1 (February 2012): 177–89. http://dx.doi.org/10.1016/j.cie.2011.09.005.

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48

Hifi, Mhand, and Rym M’Hallah. "Strip generation algorithms for constrained two-dimensional two-staged cutting problems." European Journal of Operational Research 172, no. 2 (July 2006): 515–27. http://dx.doi.org/10.1016/j.ejor.2004.10.020.

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49

Velasco, André Soares, and Eduardo Uchoa. "Improved state space relaxation for constrained two-dimensional guillotine cutting problems." European Journal of Operational Research 272, no. 1 (January 2019): 106–20. http://dx.doi.org/10.1016/j.ejor.2018.06.016.

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50

Araujo, Janniele A. S., Haroldo G. Santos, Bernard Gendron, Sanjay Dominik Jena, Samuel S. Brito, and Danilo S. Souza. "Strong bounds for resource constrained project scheduling: Preprocessing and cutting planes." Computers & Operations Research 113 (January 2020): 104782. http://dx.doi.org/10.1016/j.cor.2019.104782.

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