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Showing papers in "Journal of Manufacturing Science and Engineering-transactions of The Asme in 2002"


Journal ArticleDOI
TL;DR: In this article, a methodology for diagnostics of fixture failures in multistage manufacturing processes (MMP) is presented, which is based on the state-space model of the MMP process, which includes part fixturing layout geometry and sensor location.
Abstract: This paper presents a methodology for diagnostics of fixture failures in multistage manufacturing processes (MMP). The diagnostic methodology is based on the state-space model of the MMP process, which includes part fixturing layout geometry and sensor location. The state space model of the MMP characterizes the propagation of fixture fault variation along the production stream, and is used to generate a set of predetermined fault variation patterns. Fixture faults are then isolated by using mapping procedure that combines the Principal Component Analysis (PCA) with pattern recognition approach. The fault diagnosability conditions for three levels: (a) within single station, (b) between stations, and (c) for the overall process, are developed. The presented analysis integrates the state space model of the process and matrix perturbation theory to estimate the upper bound for isolationability of fault pattern vectors caused by correlated and uncorrelated noises. A case study illustrates the proposed method.

228 citations


Journal ArticleDOI
TL;DR: In this article, a regenerative stability theory was proposed for highly interrupted machining, where the ratio of time spent cutting to not cutting (denoted p) is small, and the results of the theory were supported by numerical simulation and experiment.
Abstract: Traditional regenerative stability theory predicts a set of optimally stable spindle speeds at integer fractions of the natural frequency of the most flexible mode of the system. The assumptions of this theory become invalid for highly interrupted machining, where the ratio of time spent cutting to not cutting (denoted p) is small. This paper proposes a new stability theory for interrupted machining that predicts a doubling in the number of optimally stable speeds as the value of p becomes small. The results of the theory are supported by numerical simulation and experiment. It is anticipated that the theory will be relevant for choosing optimal machining parameters in high-speed peripheral milling operations where the radial depth of cut is only a small fraction of the tool diameter.

198 citations


Journal ArticleDOI
TL;DR: In this article, laser shock processing of copper using focused laser beam size about ten microns is investigated for its feasibility and capability to impart desirable residual stress distributions into the target material in order to improve the fatigue life of the material.
Abstract: Laser shock processing of copper using focused laser beam size about ten microns is investigated for its feasibility and capability to impart desirable residual stress distributions into the target material in order to improve the fatigue life of the material. Shock pressure and strain/stress are properly modeled to reflect the micro scale involved, and the high strain rate and ultrahigh pressure involved. Numerical solutions of the model are experimentally validated in terms of the geometry of the shock-generated plastic deformation on target material surfaces as well as the average in-depth strains under various conditions. The residual stress distributions can be further influenced by shocking at different locations with certain spacing. The potential of applying the technique to micro components, such as micro gears fabricated using MEMS is demonstrated. The investigation also lays groundwork for possible combination of the micro scale laser shock processing with laser micromachining processes to offset the undesirable residual stress often induced by such machining processes.

178 citations


Journal ArticleDOI
TL;DR: In this article, a series of drilling experiments were conducted on carbon fiber-reinforced composite laminates to determine quantitatively the effect of the chisel edge on the thrust force.
Abstract: Previous studies have shown the severe limitations that have to be placed on machining forces when drilling composite laminates due to their propensity for delamination. Delamination, which consists of separation between the plys in a laminate, is due to the relatively poor strength of these materials in the thickness direction. In drilling, delamination is initiated when the drilling force exceeds a threshold value, particularly at the critical entry and exit locations of the drill bit. While abrasive machining results in damage-free holes in most composites, such processes are slow and expensive when compared to drilling with conventional twist drills. Here it is shown that the chisel edge in such drills is a major contributor to the thrust force that is the primary cause of delamination when drilling composite laminates. In this study, a series of drilling experiments were conducted on carbon fiber-reinforced composite laminates to determine quantitatively the effect of the chisel edge on the thrust force. In addition, tests were conducted to determine the effect of pre-drilling the laminate with a pilot hole. The results show a large reduction in the thrust force when a pilot hole is present which, in effect, removes the chisel edge contribution. An analytical model that incorporates the presence of a pilot hole is also described. The results from the thrust force-feed relationships show good agreement with experimentally determined values for the thrust force for a wide range of feeds for drilling tests conducted on laminates with and without pilot holes.

152 citations


Journal ArticleDOI
TL;DR: Experimental results show that successful tool state detection rates as high as 97% can be achieved by using the proposed new modeling framework for tool wear monitoring in machining processes using hidden Markov models.
Abstract: This paper presents a new modeling framework for tool wear monitoring in machining processes using hidden Markov models (HMMs). Feature vectors are extracted from vibration signals measured during turning. A codebook is designed and used for vector quantization to convert the feature vectors into a symbol sequence for the hidden Markov model. A series of experiments are conducted to evaluate the effectiveness of the approach for different lengths of training data and observation sequence. Experimental results show that successful tool state detection rates as high as 97% can be achieved by using this approach.

151 citations


Journal ArticleDOI
Yuebin Guo1, C. R. Liu1
TL;DR: In this article, the authors used tensile tests at elevated temperatures to estimate mechanical properties of the work material for both elastic and plastic deformations in a broad range of strain, strain rate, and temperature in machining.
Abstract: This paper provides an approach using tensile tests at elevated temperatures to estimate mechanical properties of the work material for both elastic and plastic deformations in a broad range of strain, strain rate, and temperature in machining. The proposed method has been applied to estimate mechanical properties of hardened AISI 52100 steel in hard machining. Tensile testing is shown capable of estimating the mechanical properties of both elastic and plastic regions with large strains at elevated temperatures. Flow stresses at high strain rates in machining can be obtained by extrapolating the data from tensile tests by using the velocity-modified temperature. Flow stress data from tensile and cutting tests is consistent with regard to the velocity-modified temperature. Temperature is the dominant factor of mechanical properties of this material, while the effect of strain rate is secondary. Cutting forces and chip geometry predicted by the 3D FEM simulation of hard turning using the material property data obtained from the developed method agree well with the experimental data. @DOI: 10.1115/1.1413775#

147 citations


Journal ArticleDOI
TL;DR: In this article, the formation of saw-tooth chips is attributed to the operation of thermally softened micro-shear zones, which, it is suggested, are a precursor to adiabatic shear initiation.
Abstract: The formation of saw-tooth chips is one of the primary characteristics in the machining of hardened steels with geometrically defined cutting tools. Catastrophic failure within the primary shear zone during saw-tooth chip formation is usually attributed to either cyclic crack initiation and propagation or to the occurrence of a thermo-plastic instability. The results presented here show that the primary instability resulting in the formation of saw-tooth chips is initiation of adiabatic shear at the tool tip and propagation partway towards the free surface. Depending on the work material hardness and cutting conditions, catastrophic failure within the upper region of the primary shear zone occurs through either ductile fracture or large strain plastic deformation. Prior to the onset of chip segmentation, which occurs with increases in work material hardness and cutting speed, there is a transition in the morphology of the free surface of continuous chips, from the familiar lamellar structure to what has been termed a fold-type structure. This transition is attributed to the operation of thermally softened micro-shear zones, which, it is suggested, are a precursor to adiabatic shear initiation.

140 citations


Journal ArticleDOI
Yuebin Guo1, C. R. Liu1
TL;DR: In this article, a 3D finite element analysis model has been developed and implemented to analyze turning hardened AISI 52100 steels using a PCBN cutting tool, which incorporated the thermo-elastic-plastic properties of the work material in machining.
Abstract: A practical explicit 3D finite element analysis model has been developed and implemented to analyze turning hardened AISI 52100 steels using a PCBN cutting tool. The finite element analysis incorporated the thermo-elastic-plastic properties of the work material in machining. An improved friction model has been proposed to characterize tool-chip interaction with the friction coefficient and shear flow stresses determined by force calibration and material tests, respectively. A geometric model has been established to simulate a 3D turning. FEA Model predictions have reasonable accuracy for chip geometry, forces, residual stresses, and cutting temperatures. FEA model sensitivity analysis indicates that the prediction is consistent using a suitable magnitude of material failure strain for chip separation, the simulation gives reasonable results using the experimentally determined material properties, the proposed friction model is valid and the sticking region on the tool-chip interface is a dominant factor of model predictions.

124 citations


Journal ArticleDOI
TL;DR: In this article, a kinetostatic model for the Tricept machine tool family is established based on lumped flexibilities, which can be used to analyze the effect of link flexibility on the machine tool's global stiffness and the platform positioning precision.
Abstract: Selecting a mechanism for a machine tool that will best suit the needs of a forecast set of rigidities can be a difficult and costly exercise This problem can now be addressed using a kinetostatic modeling method In this paper, a kinetostatic model for the Tricept machine tool family is established based on lumped flexibilities This model can be used to analyze the effect of link flexibility on the machine tool's global stiffness and the platform positioning precision The Tricept machine tool is a new type of parallel mechanism with prismatic actuators whose degree of freedom is dependent on a passive constraining leg connecting the base and the platform The geometric model and the mechanical design of the Tricept machine tool is first recalled Then, a lumped kinetostatic model is proposed in order to account for joint and link compliances It is shown that the link flexibility has a significant effect on the machine tool's precision and that it is necessary to take the link flexibility into account Additionally, the inverse kinematics and velocity equations are given for both rigid-link and flexible-link mechanisms Finally, the optimization of the stiffness is addressed using a genetic algorithm

102 citations


Journal ArticleDOI
TL;DR: In this article, the influence of cutting edge geometry on chip removal process is studied through numerical simulation of cutting with sharp, chamfered or blunt edges and with carbide and CBN tools.
Abstract: In high speed machining of hard materials, tools with chamfered edge and materials resistant to diffusion wear are commonly used. In this paper, the influence of cutting edge geometry on the chip removal process is studied through numerical simulation of cutting with sharp, chamfered or blunt edges and with carbide and CBN tools. The analysis is based on the use of ALE finite element method for continuous chip formation process. Simulations include cutting with tools of different chamfer angles and cutting speeds. The study shows that a region of trapped material zone is formed under the chamfer and acts as the effective cutting edge of the tool, in accordance with experimental observations. While the chip formation process is not significantly affected by the presence of the chamfer, the cutting forces are increased. The effect of cutting speed on the process is also studied.

100 citations


Journal ArticleDOI
TL;DR: In this article, the design of a precise, flexible, and corrosion-resistant underwater rotary spindle has been introduced to generate cylindrical forms on hard, difficult-to-machine materials.
Abstract: Results of applying the wire Electrical Discharge Machining (EDM) process to generate precise cylindrical forms on hard, difficult-to-machine materials are presented. The design of a precise, flexible, and corrosion-resistant underwater rotary spindle is first introduced. A detailed spindle error analysis identifies the major sources of error at different frequency spectrum. The spindle has been added to a conventional two-axis wire EDM machine to enable the generation of free-form cylindrical geometries. The mathematical model for material removal rate of the free-form cylindrical wire EDM process is derived. Experiments were conducted to explore the maximum material removal rate for cylindrical and 2D wire EDM of carbide and brass work-materials. Compared to the conventional 2D wire EDM of the same work-material, higher maximum material removal rates may be achieved in the cylindrical wire EDM, possibly due to better debris flushing condition.

Journal ArticleDOI
TL;DR: In this article, the role of cryogenic cooling by liquid nitrogen jet on cutting temperature in turning plain carbon steel (C-40) under varying cutting velocity and feed was investigated, and the experimental and computational results indicated that such cryogenic cooling enables substantial reduction in the cutting temperature depending upon the levels of the cutting speeds and feed and the cutting tool geometry.
Abstract: Application of conventional cutting fluids do not serve the purposes effectively particularly under high cutting velocity and feed. Besides, such cutting fluids pollute the environment in high production machining and grinding. Cryogenic cooling seemed to be quite effective in reducing the high cutting temperature which impairs product quality and reduces tool life. The present work deals with investigating the role of cryogenic cooling by liquid nitrogen jet on cutting temperature in turning plain carbon steel (C-40) under varying cutting velocity and feed. The experimental and computational results indicate that such cryogenic cooling enables substantial reduction in the cutting temperature depending upon the levels of the cutting velocity and feed and the cutting tool geometry. It was also noted that the chip formation and chip-tool interaction become more favorable and the cutting forces decreased to some extent when liquid nitrogen jet was employed. Therefore, it appears that cryogenic cooling, if properly employed, not only provides environment friendliness but can also improve the machinability characteristics.

Journal ArticleDOI
TL;DR: In this article, an iterative algorithm that minimizes the workpiece elastic deformation for the entire cutting process by alternatively varying the fixture layout and clamping force is proposed, and it is shown via an example of milling fixture design that this algorithm yields a design that is superior to the result obtained from either fixture layout or clamping forces.
Abstract: Fixture design is a critical step in machining. An important aspect of fixture design is the optimization of the fixture, the primary objective being the minimization of workpiece deflection by suitably varying the layout of fixture elements and the clamping forces. Previous methods for fixture design optimization have treated fixture layout and clamping force optimization independently and/or used nonlinear programming methods that yield sub-optimal solutions. This paper deals with application of the genetic algorithm (GA) for fixture layout and clamping force optimization for a compliant workpiece. An iterative algorithm that minimizes the workpiece elastic deformation for the entire cutting process by alternatively varying the fixture layout and clamping force is proposed. It is shown via an example of milling fixture design that this algorithm yields a design that is superior to the result obtained from either fixture layout or clamping force optimization alone.

Journal ArticleDOI
TL;DR: In this paper, a mathematical model for the arithmetic average surface roughness on the ideal surface of a cylindrical wire EDM workpiece is derived and the effects of wire feed rate and part rotational speed on the surface finish and roundness for brass and carbide work-materials at high material removal rates are investigated.
Abstract: This study investigates the surface integrity and roundness of parts created by the cylindrical wire EDM process. A mathematical model for the arithmetic average surface roughness on the ideal surface of a cylindrical wire EDM workpiece is first derived. Effects of wire feed rate and part rotational speed on the surface finish and roundness for brass and carbide work-materials at high material removal rates are investigated. The pulse on-time and wire feed rate are varied to explore the best possible surface finish and roundness achievable by the cylindrical wire EDM process. This study has demonstrated that, for carbide parts, an arithmetic average surface roughness and roundness as low as 0.68 and 1.7 mm, respectively, can be achieved. Surfaces of the cylindrical EDM parts were examined using Scanning Electron Microscopy (SEM) to identify the macro-ridges and craters on the surface. Cross-sections of the EDM parts are examined using the SEM to quantify the sub-surface recast layers and heat-affected zones under various process parameters. This study has demonstrated that the cylindrical wire EDM process parameters can be adjusted to achieve either high material removal rate or good surface integrity and roundness. [DOI: 10.1115/1.1475989]

Journal ArticleDOI
TL;DR: In this article, the laser-assisted machining of pressureless sintered mullite ceramics was evaluated in terms of cutting force, surface temperature, chip morphology, tool wear, surface roughness and subsurface damage.
Abstract: The present study focuses on the evaluation of the laser-assisted machining (LAM) of pressureless sintered mullite ceramics. Due to mullite's low thermal diffusivity and tensile strength, a new method for applying laser power is devised to eliminate cracking and fracture of the workpiece during laser heating. The LAM process is characterized in terms of cutting force, surface temperature, chip morphology, tool wear, surface roughness and subsurface damage for a variety of operating conditions. Estimated material removal temperatures and the ratio of the feed force to the main cutting force are used to determine material removal mechanisms and regimes for brittle fracture and semi-continuous and continuous chip formation. Surface roughness and subsurface damage are compared between typical parts produced by LAM and grinding. Tool wear characteristics are investigated for variations in laser power, and hence material removal temperature, during LAM of mullite with carbide tools.

Journal ArticleDOI
TL;DR: A microstructure-level model for simulation of machining of cast irons using the finite element method is presented in this paper, which explicitly combines ferritic and pearlitic grains with graphite nodules to produce the ductile iron structure.
Abstract: A microstructure-level model for simulation of machining of cast irons using the finite element method is presented. The model explicitly combines ferritic and pearlitic grains with graphite nodules to produce the ductile iron structure. The behaviors of pearlite, ferrite, and graphite are captured individually using an internal state variable model for the material model. The behavior of each phase is dependent on strain, strain rate, temperature, and amount of damage. Extensive experimentation was conducted to characterize material strain rate and temperature dependency of both ferrite and pearlite. The model is applied to orthogonal machining of ductile iron. The simulation results demonstrate the feasibility of successfully capturing the influence of microstructure on machinability and part performance. The stress, strain, temperature, and damage results obtained from the model are found to correlate well with experimental results found in the literature. Furthermore, the model is capable of handling various microstructures in other heterogeneous materials such as steels.

Journal ArticleDOI
TL;DR: In this paper, a mathematical framework for the synthesis of reconfigurable machine tools using a library of building blocks is presented, rooted in graph theoretic methods of enumeration of alternate structural configurations and screw theory.
Abstract: In this paper, we present a systematic methodology for designing Reconfigurable Machine Tools (RMTs). The synthesis methodology takes as input a set of functional requirements-a set of process plans and generates a set of kinematically viable reconfigurable machine tools that meet the given design specifications. We present a mathematical framework for synthesis of machine tools using a library of building blocks. The framework is rooted in (a) graph theoretic methods of enumeration of alternate structural configurations and (b) screw theory that enables us to manipulate matrix representations of motions to identify appropriate kinematic building blocks.

Journal ArticleDOI
TL;DR: In this paper, first and second order error models are presented, and followed by a comparative assessment of these models in conjunction with illustrative examples, in order to understand the character and propagation of errors of 6-DOF Stewart Platform based machine tools, sensitivity analysis is adopted to describe the contribution of each error component to the total position and orientation error of the mechanism.
Abstract: Precision machining operations necessitate highly accurate, rigid, and stable machine-tool structures. In response to this need, parallel architecture machines, based on the concepts of the Stewart Platform, are emerging. In this paper considering major inaccuracy factors related to the manufacture, geometry, and kinematics, of such machines, first and second order error models are presented, and followed by a comparative assessment of these models in conjunction with illustrative examples. Furthermore, in order to understand the character and propagation of errors of 6-DOF Stewart Platform based machine tools, sensitivity analysis is adopted to describe the contribution of each error component to the total position and orientation error of the mechanism. An automated error analysis system that computes and graphically depicts the error distributions throughout the workspace along with the results of sensitivity analysis is developed and demonstrated.

Journal ArticleDOI
TL;DR: In this paper, the critical feed rate for damage-free drilling was established for aramid and carbon fiber-reinforced polymer laminates, and independent measurements of the opening-mode delamination crack energy release rates were conducted to determine the critical thrust force for damage initiation.
Abstract: Drilling tests were conducted on aramid and carbon fiber-reinforced composite laminates using an instrumented machining center Machining parameters for the damage-free drilling of these materials were established together with semi-empirical relationships between drilling forces and cutting parameters. The drilling force responses as a function of various feed rates and drill sizes were characterized to define the key process stages taking place during a drilling cycle. Using a previously established delamination-based criterion for initiating damage during drilling, the critical feed rate for damage-free drilling was established for the two composite material types: aramid and carbon fiber-reinforced polymer laminates. Independent measurements of the opening-mode delamination crack energy release rates were conducted on both materials to determine the critical thrust force for damage initiation. This study establishes the key process stages exhibited by carbon and aramid fiber composites during drilling, the critical threshold feed rates to avoid damage, and machining relations that can be utilized for the design of intelligent controllers for efficient drilling of composite laminates.

Journal ArticleDOI
TL;DR: In this paper, the spindle speed is varied in a pseudo-random fashion within the bandwidth of a spindle system to suppress chatter in machining, and a new method to analyze the stability of machining systems with varying spindle speeds is introduced.
Abstract: This paper presents a new method for varying the spindle speed to suppress chatter in machining. The spindle speed is varied in a pseudo-random fashion within the bandwidth of the spindle system. Both implementation issues and spindle system responses to such signals are investigated. A new method to analyze the stability of machining systems with varying spindle speed is also introduced. The effectiveness and advantages of the random spindle speed variation in chatter suppression is verified using numerical simulations and experiments.

Journal ArticleDOI
TL;DR: In this paper, a finite element model was developed to simulate chip formation in the edge trimming of unidirectional fiber reinforced plastic (FRPs) with orthogonal cutting tools.
Abstract: A finite element model was developed to simulate chip formation in the edge trimming of unidirectional Fiber Reinforced Plastics (FRPs) with orthogonal cutting tools. Fiber orientations (θ) within the range of 0 deg≤θ≤90 deg were considered and the cutting tool was modeled as both a rigid and deformable body in independent simulations. The principal and thrust force history resulting from numerical simulations for orthogonal cutting were compared to those obtained from edge trimming of unidirectional Graphite/Epoxy (Gr/Ep) using polycrystalline diamond tools. It was found that principal cutting forces obtained from the finite element model with both rigid and deformable body tools compared well with experimental results. Although the cutting forces increased with increasing fiber orientation, the tool rake angle had limited influence on cutting forces for all orientations other than 0=0 deg and 90 deg. However, the tool geometry did affect the degree of subsurface damage resulting from interlaminar shear failure as well as the cutting tool stress distribution. The finite element model for chip formation provides a means for optimizing tool geometry over the total range in fiber orientations in terms of the cutting forces, degree of subsurface trimming damage, and the cutting tool stresses.

Journal ArticleDOI
TL;DR: In this article, a deposition planning approach based on a grouping and mapping algorithm is proposed to achieve a high quality functional part, an overfill and underfill analysis is conducted, and two piezoelectric test parts have been built.
Abstract: The fabrication of a functional part requires very high layer quality in the Fused Deposition (FD) processes. The constant deposition flow rate currently used in FD technology cannot meet this requirement, due to the varying geometries of the layers. To achieve a high quality functional part, an overfill and underfill analysis is conducted. A deposition planning approach is proposed, which is based on a grouping and mapping algorithm. Two piezoelectric test parts have been built to demonstrate the effectiveness and feasibility of the proposed approach.

Journal ArticleDOI
TL;DR: The findings of the Panel for International Assessment of Environmentally Benign Manufacturing Technologies, sponsored by the United States National Science Foundation, are discussed in this paper, focusing on some global trends that were observed.
Abstract: In this paper, findings of the Panel for International Assessment of Environmentally Benign Manufacturing Technologies, sponsored by the United States National Science Foundation, are discussed The mission of this interdisciplinary panel was to assess the international state-of-the-art in Environmentally Benign Manufacturing (EBM), and to identify priorities and collaborative opportunities Over 50 sites in Japan, Europe and the United States were visited over the course of the yearlong study This paper focuses on some global trends that were observed @DOI: 101115/11505855#

Journal ArticleDOI
TL;DR: In this paper, a 2D, quasi-static/dynamic, elasto-plastic numerical model of the stress/strain field is developed by finite element analysis.
Abstract: Ultrasonic bonding of thin foils has been recently introduced to rapid prototyping of complex-shaped and/or internally structured layered parts. This article provides the mechanical analysis of an elementary ultrasonic spot welding process of a metal foil on a previously deposited substrate. A 2-D, quasi-static/dynamic, elasto-plastic numerical model of the stress/strain field is developed by finite element analysis. Its frictional boundary conditions at the foil/substrate interface are described via a simpler plain stress, static analytical formulation, and identified experimentally by strain measurements on the substrate surface, adjacently to the ultrasonic probe. The calibrated computational simulation is validated in the laboratory and applied in studying the elastic stress concentrations, plastic deformation initiation and propagation patterns, the slippage at the interface surface and the dynamic effects of ultrasonic loading on the bonding process. This mechanical model is suitable for analysis of multi-joint ultrasonic rapid prototyping and its applications in fabrication of multi-material, functional internal structures with embedded components.

Journal ArticleDOI
TL;DR: In this paper, a simplified model of the mechanics of large-amplitude vibrations in drilling was presented, which includes cutting and rubbing forces on the drill, but inertia and damping of the tool are neglected at low speeds.
Abstract: Large-amplitude vibrations in drilling often occur at frequencies near multiples of the rotation frequency, even when these are much lower than the system's first natural frequency. These vibrations are responsible for out-of-round, lobed holes. A simplified model of the mechanics of this phenomenon is presented in this paper. The model includes cutting and rubbing forces on the drill, but inertia and damping of the tool are neglected at low speeds. This quasi-static model remains dynamic because of the regenerative nature of cutting; the force on each cutting element depends on both the tool's current position and its position at the time of the previous tooth passage. Characteristic solutions, including unstable retrograde whirling modes, are found in terms of eigenvalues and eigenvectors of a discrete state-transition matrix. These unstable modes correspond closely to behavior observed in drilling tests.

Journal ArticleDOI
TL;DR: In this article, a new method for stability analysis of the variable spindle speed face milling process whose dynamics are described by a set of differential-difference equations with periodic coefficients and time varying time delay is presented.
Abstract: This paper presents a new method for stability analysis of the variable spindle speed face milling process whose dynamics are described by a set of differential-difference equations with periodic coefficients and time varying time delay. Fourier analysis and Floquet theory applied to the system equations result in a characteristic equation of infinite order with constant coefficients. Its truncated version is used to determine the limit of stability by employing standard techniques of control theory. Analytically predicted stability boundaries are compared with lobes generated by time domain simulations. Experimental results are also presented that validate the proposed analytical method for chatter stability analysis. Finally an example is presented that demonstrates the advantage of using spindle speed variation when machining a workpiece having multiple modes of vibration.

Journal ArticleDOI
TL;DR: In this paper, the edge geometry of a cutting tool affects the forces measured in metal cutting, and the measured force data yield the expected material response without requiring recourse to an additional ploughing component.
Abstract: It is well known that the edge geometry of a cutting tool affects the forces measured in metal cutting. Two experimental methods have been suggested in the past to extract the ploughing (noncutting) component from the total measured force: (1) the extrapolation approach and (2) the dwell force technique. This study reports the behavior of zinc during orthogonal machining using tools of controlled edge radius. Application of both the extrapolation and dwell approaches showed that neither produces an analysis that yields a material response consistent with the known behavior of zinc. Further analysis shows that the edge geometry modifies the shear zone of the material and thereby modifies the forces. When analyzed this way, the measured force data yield the expected material response without requiring recourse to an additional ploughing component.

Journal ArticleDOI
TL;DR: In this paper, the effect of workpiece hardness and cutting speed on chip formation, workpiece surface integrity and cutting forces was investigated with orthogonal machining of AISI H13 hot work die steel with PCBN tooling.
Abstract: When machining hardened steel (≥45 HRC) with polycrystalline cubic boron nitride (PCBN) tooling, the cutting speeds used produce high temperatures in the primary shear zone, which are sufficient to plasticize the workpiece. The paper initially reviews the effect of workpiece hardness and cutting speed on chip formation, workpiece surface integrity and cutting forces. Equations are detailed for determining the primary shear zone temperature, the proportion of heat conducted into the workpiece and the shear flow stress. Following on from this, experimental work is presented involving the orthogonal machining of AISI H13 hot work die steel with PCBN tooling. Tests were carried out over a range of cutting speeds with workpieces of different hardness, in order to provide cutting force, shear angle, chip morphology and primary shear zone thickness data. The shear flow stress decreased with increasing cutting speed and/or workpiece hardness. With the AISI H13 heat treated to 49±1 HRC, the stress magnitude changed more significantly with cutting speed and the proportion of heat conducted away from the workpiece approached 99 percent at 200 m/min. Shear localized chips were produced with white unetched layers due to intense heat generation followed by rapid cooling.

Journal ArticleDOI
TL;DR: In this paper, the effects of microstructure change on the flow stress in laser forming processes of low carbon steel are considered and the incorporation of such flow stress models with thermal mechanical FEM simulation increases numerical model accuracy in predicting geometry change and mechanical properties.
Abstract: Laser forming of steel is a hot forming process with high heating and cooling rate, during which strain hardening, dynamic recrystallization, and phase transformation take place. Numerical models considering strain rate and temperature effects only usually give unsatisfactory results when applied to multiscan laser forming operations. This is mainly due to the inadequate constitutive models employed to describe the hot flow behavior. In this work, this limitation is overcome by considering the effects of microstructure change on the flow stress in laser forming processes of low carbon steel. The incorporation of such flow stress models with thermal mechanical FEM simulation increases numerical model accuracy in predicting geometry change and mechanical properties.

Journal ArticleDOI
TL;DR: In this paper, a microplasticity model for analyzing the variation of cutting force in ultra-precision diamond turning is proposed, which takes into account the effect of material anisotropy due to the changing crystallographic orientation of workpieces being cut.
Abstract: This paper describes a microplasticity model for analyzing the variation of cutting force in ultra-precision diamond turning. The model takes into account the effect of material anisotropy due to the changing crystallographic orientation of workpieces being cut. A spectrum analysis technique is deployed to extract the features of the cutting force patterns. The model has been verified through a series of cutting experiments conducted on aluminum single crystals with different crystallographic cutting planes. The results indicate that the model can predict well the patterns of the cutting force variation. It is also found that there exists a fundamental cyclic frequency of variation of cutting force per revolution of the workpiece. Such a frequency is shown to be closely related to the crystallographic orientation of the materials being cut. The successful development of the microplasticity model provides a quantitative means for explaining periodic fluctuation of micro-cutting force in diamond turning of crystalline materials.