Static rigid force model for 3-axis ball-end milling of sculptured surfaces

Static rigid force model is used to estimate cutting forces of sculptured surface in a straightforward way, without considering tool deflection, machine tool dynamic behavior and any vibration effects. Two programs were used for calculations, “ACIS” the 3-D geometric modeler and “VISUAL BASIC”. Two programs were edited and used to perform the calculations, the scheme program to model the work piece, tool and cutting edge and to obtain the geometric data and the VISUAL BASIC program design to use ACIS geometric data to calculate the cutting forces. The engaged part of the cutting edge and work piece is divided into small differential oblique cutting edge segments. Friction, shear angles and shear stresses are identified from orthogonal cutting database available in literature. The cutting force components, for each tool rotational position, are calculated by summing up the differential cutting forces. Laboratory tests were conducted to verify the predictions of the model. The work pieces were prepared from CK45 steel using an insert-type ball-end cutter. No coolant was used in any of the experimental works. The cutting forces predicted have shown good agreement with experimental results.     

A new method of cutting force measurement based on command voltages of active electro-magnetic bearings

In this paper, a new indirect method of measuring dynamic cutting forces is proposed. Milling tests have been performed on a five-axis machine, Gambin 120CR, fitted out with an electro-spindle with magnetic bearings developed by the company S2M, and named SMB30. These bearings are not affected by friction and wear. An experimental approach has been developed to determine the cutting forces as a function of the measured command voltages of the milling spindle’s magnetic bearings. The spindle is treated as a “black box”, where the transfer functions linking the unknown cutting force with command voltages are established experimentally. The cutting forces calculated from the command voltages of magnetic bearings are in good agreement with the ones measured with a Kistler four-component dynamometer. This indirect method of cutting force determination provides a useful way to estimate tool wear and monitor product quality in high-speed milling on-line.     

High frequency bandwidth cutting force measurement in milling using capacitance displacement sensors

This article presents a method of measuring cutting forces from the displacements of rotating spindle shafts. A capacitance displacement sensor is integrated into the spindle and measures static and dynamic variations of the gap between the sensor head and the rotating spindle shaft under cutting load. To calibrate the sensing system, the tool is loaded statically while the deflection of the tool is measured with the capacitance probe. With this calibration, the displacement sensor can be used as an indirect force sensor. However, the measurement bandwidth is limited by the natural modes of the spindle structure. If cutting force frequency contents are within the range of the natural modes of the spindle structure or higher, the measurements are distorted due to the dynamic characteristics of the spindle system. In order to increase the bandwidth of the indirect force sensor by compensating for the spindle dynamics, the design of a Kalman filter scheme, which is based on the frequency response function (FRF) of the displacement sensor system to the cutting force, is presented in this paper. With the suggested sensing and signal processing method, the frequency bandwidth of the sensor system is increased significantly, from 350 to approximately 1000 Hz. The proposed indirect force sensor system is tested experimentally by conducting cutting tests up to 12,000 rpm with a five-fluted end mill. Besides cutting forces, the measured displacements can also be affected by factors such as roundness errors, unbalance at different speeds, or dilatation of the spindle shaft due to temperature variations. Methods to compensate for these disturbing effects are also described in the paper.     

Tool positioning error (TPE) characterisation in milling

Where the geometrical features so permit, the {workpiece–work-holding fixture} assembly is generally considered to be infinitely rigid. The {tool–tool-holder–spindle} assembly and the machine axes are then deformed under the action of the cutting forces. This deformation leads to a positioning error of the tool in relation to the theoretical position. With the aim of taking this positioning error into account, the inaccuracies obtained during end milling and side milling were experimentally modelled from the cutting conditions used for a given machine/mill/material triplet (TriM). Our “Virtual Worker” then used these models to predict machining errors according to the type of machining and to compensate for them.     

Dynamic Compensation of Spindle-Integrated Force Sensors

This paper presents a dynamically compensated Spindle-Integrated Force Sensor system to measure cutting forces. Piezo-electric force sensors are integrated into the stationary spindle housing to measure cutting forces in three directions. The transfer function of the spindle structure between the cutting forces acting on the tool tip and the measured forces at the spindle housing are identified. Using the cutting force signals measured at the spindle housing, a Kalman filter is designed to filter the influence of structural modes on the force measurements. The frequency bandwidth of the force measurement system is significantly increased with the proposed sensor and the signal processing method. Milling experiments with tooth passing frequencies up to 1000 Hz are presented with effective removal of cutting force distortions caused by three structural modes of the spindle.     

Feed rate optimization for 3-axis ball-end milling of sculptured surfaces

The aim of this research is to improve the productivity of CNC machine tools by optimizing feed rate. To optimize feed rate two programs were used: “ACIS” (with scheme language) and “Visual Basic”. The scheme program for modeling the work piece, tool, cutting edge, and calculating maximum cutting force and the Visual Basic program to control all the activities linked to the ACIS program for estimating optimized feed values. Laboratory tests were conducted to verify the results from the modeling, using an insert-type one-flute ball-end cutter on a CK45 carbon steel work piece. No coolant was used throughout the experimental works. Comparisons were made between the maximum cutting forces, in the “fix” feed rate tests. The results indicate significant increases in productivity, which can be achieved, by using the optimized feed rate method.     

Ultra-high-speed grinding spindle characteristics upon using oil/air mist lubrication

Grinding efficiency measured in terms of material removal rate is achieved by employing ultra high wheel speeds. The spindle is a key component for ultra-high-speed grinding machine tools and the development of a “high power–high rotational speed” spindle is a daunting task owing to the lubrication challenges. The oil/air mist lubrication system with an effective heat dissipation method simplifies the spindle configuration. This paper emphasizes two main issues: (1) the development of an oil/air mist lubricated ultra-high-speed grinding spindle and (2) the grinding performance of such a spindle for hard and tough materials.     

Tool wear monitoring and breakage detection based on “intelligent filtering”

Several physical quantities can be used for indirect tool wear monitoring and breakage detection. Cutting forces are appropriate, since they determine the suitability of a tool for cutting. However, disturbances make the accurate and fast tool condition monitoring based upon force analysis difficult. To eliminate disturbances averaging or filtering within a predetermined bandwidth has often been applied. A new method of decomposing the force signal into components having close relationships with physical phenomena taking place during cutting is presented. The term “intelligent filtering” denotes decomposition based on on-line identification of model(s) of the cutting process. Application of “intelligent filtering” for the milling process with two cutting insert tools is discussed.     

The development of a high-speed spindle measurement system using a laser diode and a quadrants sensor

Reducing the manufacturing time is the trend of precision manufacturing, and the precision of a work-piece is very important for manufacturing industry. High-speed cutting is becoming more widely used and the high-speed spindle is a very important element, whose precision may affect the overall performance of high-speed cutting. Most of the studies on high-speed cutting are focused on the cutting force, the vibration of the spindle and the effects of the spindle's thermal expansion; however, the measurement of the high-speed spindle continues to use the conventional spindle measurement method.As with the measurement of the high-speed spindle, more strict demands are set on the dynamic balance of cutting tools and the bandwidth of the measurement systems when compared with common spindles. The capacitance displacement sensor has been employed for the spindle error test. The precision of the measurement system is limited by the reference (such as a master ball or a master cylinder). Also the capacitance sensor and the reference must be grounded together. This paper presents a simple spindle measurement system using a laser diode and a quadrants sensor, with accuracy up to 1 μm, within 300,000 rpm for various spindles. The system does not need any reference and it is easy to set up. This system can be applied to measure the spindle errors, the spindle speed and the spindle indexing.     

Dynamic controlled milling process for bone machining

Optimal control of the machining process in orthopedic surgery can not only increase productivity but also ensure safety during tool usage. The authors have developed a technology for a force control system. The system has two modes of operation: the “air-cutting mode” and the “force control mode.” In the air-cutting mode, tool feed is scheduled by predicting the air and bone-cutting zones from the CAD/CAM system. In the force control mode, the software monitors the cutting force and the cutting temperature, and it controls the feed override according to the difference between the real and the desired cutting force. The software is installed on a robot controller, and its effectiveness is evaluated with a urethane bone.     

Enhancement of dynamic stability of cantilever tooling structures

The least rigid components of machining systems are cantilever tools and cantilever structural units of machine tools (rams, spindle sleeves, etc.). These components limit machining regimes due to the development of chatter vibrations, limit tool life due to extensive wear of cutting inserts, and limit geometric accuracy due to large deflections under cutting forces. Use of high Young's modulus materials (such as sintered carbides) to enhance the dynamic quality of cantilever components has only a limited effect and is very expensive. This paper describes a systems approach to the development of cantilever tooling structures (using the example of boring bars) which combine exceptionally high dynamic stability and performance characteristics with cost effectiveness. Resultant success was due to: (1) a thorough survey of the state of the art; (2) creating a “combination structure” concept with rigid (e.g. sintered carbide) root segments combined with light (e.g. aluminum) overhang segments, thus retaining high stiffness and at the same time achieving low effective mass (thus, high mass ratios for dynamic vibration absorbers, or DVAs) and high natural frequencies; (3) using the concept of “saturation of contact deformations” for efficient joining of constituent parts with minimum processing requirements; (4) suggesting optimized tuning of DVAs for machining process requirements; (5) development of DVAs with the possibility of broad-range tuning; (6) structural optimization of the system; and (7) using a novel concept of a “Torsional Compliant Head”, or TCH, which enhances dynamic stability at high cutting speeds and is suitable for high rev/min applications since it does not disturb balancing conditions. The optimal performance and interaction of these concepts were determined analytically, and then the analytical results were validated by extensive cutting tests with both stationary and rotating boring bars, machining steel and aluminum parts. Stable performance with length-to-diameter ratios up to L/D = 15 was demonstrated, with surface finish 20–30 μm with both steel and aluminum at L/D = 7–11. Comparative tests with commercially available bars demonstrated the advantages of our system.     

Limit charts for high removal rate centrelessgrinding

An experimental investigation of the high removal-rate centreless grinding process applied to steel and cast-iron has allowed the investigators to present “limit-charts”. These limit charts illustrate the characteristic diagram for boundaries of operation where the grinding variables are infeed rate, workpiece speed and grinding wheel speed. The boundaries determined in this investigation were formed by burn, chatter, or available power (75 kW). It was not possible to achieve an excessive wheel wear condition although this might have been possible if more power had been available. The shape of the diagram means there is an optimum point of operation within the region enclosed by the boundaries. This forms the basis of a control strategy.Kinematic characterisation of the grinding process is developed by attention to the concept of a ‘speedeffect”, a “size effect” and a “shape effect”. Results for the speed effect are distinguished and presented separately from results for the size effect and shape effect to avoid mixed causes for the differing physical effects.A two-dimensional surface is presented showing the variation of grinding energy with variations in infeedrate, workpiece speed and grinding wheel speed. Because speed, shape and size effects are separated on the surface it is possible to read the optimum grinding wheel speed for minimum energy. For these experimental conditions, the optimum grinding wheel speed was found to be approximately 50 m/s. In the region of the optimum speed, specific energy is relatively insensitive to variations in operating speeds and feeds which is a useful feature when devising an automatic control strategy.     

Prediction of the effect of second phases embedded in a lead matrix on anodic corrosion

After referring to the research carried out on composite specimens formed by lamellae of “reactive” metals embedded in a lead matrix, an attempt is made to apply the data obtained on penetration of attack into these lamellae to the real case of the anodic corrosion of several two-phase Pb---Sb and Pb---Ag alloys in the as-cast condition.To this end, a theoretical treatment of the effect of a “reactive” second phase on the stability of an alloy is presented. Emphasis is laid on the role which material disintegration may play, provided the second phase particles supply routes for a fast penetration of the localized attack into the alloy structure.     

Real-time estimation of cutting forces via physics-inspired data-driven model

A method is presented to estimate the cutting forces in real time within machine tools for any spindle speed, force profile, tool type, and cutting conditions. Before cutting, a metrology suite and instrumented tool holder are used to induce magnetic forces during spindle rotation, while on-machine vibrations, magnetic forces, and error motions are measured for various combinations of speeds and forces. A physics-inspired data-driven model then relates the measured accelerations to the magnetic forces, such that during cutting, on-machine measured vibrations are used in the model to estimate the cutting forces in real time.     

Machining stability in high speed drilling—Part 2: Time domain simulation of a bending–torsional model and experimental validations

In this paper, the torsional limits of stability in drilling are first obtained analytically based on Bayly's work [P.V. Bayly, S.A. Metzler, A.J. Schaut, K.A. Young, Theory of torsional chatter in twist drills: model, stability analysis and composition to test, Journal of Manufacturing Science and Engineering, 123 (2001) 552–561]. Subsequently, a time domain simulation model of chatter in drilling is presented. The novel simulation model, developed in this work, combines the effects of both bending and torsion. The major challenge in this model is the tracking of the instantaneous cutting parameters along the lips while vibrating in both modes. This challenge was met here successfully and the simulation results agreed closely with the analytical solutions. Cutting experiments were also conducted to verify the developed chatter models. Two drills, one “short” and one “long” were used in drilling a large number of holes with different pilot-hole diameters. The agreement between the cutting tests and theoretical predictions was not very close for the “short” drill due to inaccuracies in representing the boundary conditions in the mathematical model. On the other hand, the cuttings tests agreed very closely with the analytical and numerical predictions for the “long” drill.     

A critical analysis of effectiveness of acoustic emission signals to detect tool and workpiece malfunctions in milling operations

The industrial demands for automated machining systems to increase process productivity and quality in milling of aerospace critical safety components requires advanced investigations of the monitoring techniques. This is focussed on the detection and prediction of the occurrence of process malfunctions at both of tool (e.g. wear/chipping of cutting edges) and workpiece surface integrity (e.g. material drags, laps, pluckings) levels. Acoustic emission (AE) has been employed predominantly for tool condition monitoring of continuous machining operations (e.g. turning, drilling), but relatively little attention has been paid to monitor interrupted processes such as milling and especially to detect the occurrence of possible surface anomalies.This paper reports for the first time on the possibility of using AE sensory measures for monitoring both tool and workpiece surface integrity to enable milling of “damage-free” surfaces. The research focussed on identifying advanced monitoring techniques to enable the calculation of comprehensive AE sensory measures that can be applied independently and/or in conjunction with other sensory signals (e.g. force) to respond to the following technical requirements: (i) to identify time domain patterns that are independent from the tool path; (ii) ability to “calibrate” AE sensory measures against the gradual increase of tool wear/force signals; (iii) capability to detect workpiece surface defects (anomalies) as result of high energy transfer to the machined surfaces when abusive milling is applied.Although some drawbacks exist due to the amount of data manipulation, the results show good evidence that the proposed AE sensory measures have a great potential to be used in flexible and easily implementable solutions for monitoring tool and/or workpiece surface anomalies in milling operations.     

Characterization of semi-solid slurry using a novel “Rheo-Characterizer” apparatus

The rheological properties of A357 semi-solid slurries, produced under different conditions using the SEED process, were analyzed with a novel “Rheo-Characterizer” apparatus. The TiB₂ grain refiner was also added to evaluate the impact on the microstructure and the cutting force. The α-Al particles and grain size were measured under different processing conditions. The effect of the solid fraction on the resulting cutting force curve was also investigated by altering the cutting temperature. The results show that the “Rheo-Characterizer” is capable of differentiating between the microstructural morphologies and the solid fraction present in the slug. A simple theoretical model was proposed to better understand the relationship between the microstructure and the cutting behaviour of the semi-solid slurry. The model, together with an analysis of the deformation phenomena observed on the wire and the slug, roughly predicts the principal characteristics of the experimental cutting curves.     

Can the Tafel equation be derived from first principles?

A century ago, Tafel disapproved the attempts to derive the empirical equation named after him by thermodynamic methods. He noted that his observations referred to irreversible electrochemical reactions, where thermodynamics is inapplicable. This statement seems to remain valid until today. Indeed, it is impossible as yet to predict the kinetic parameters for chemical processes by determining rate constants and reaction orders from “first principles”, unless strictly specialized and, to a great extent, artificial models are developed.Nevertheless, in this paper an attempt to derive the kinetic law of mass action from “first principles” is made in macroscopic formulation. It has turned out to be possible owing to the methods of thermodynamics of irreversible processes that were unknown in Tafel’s time.     

The perturbation dimension for describing rough surfaces

We define global and local “perturbations” of roughness profiles, considered as rectifiable or non rectifiable curves. The method consists in measuring classical roughness parameters in τ — windows of various sizes. When τ tends to zero a characteristic scaling exponent is evaluated. This exponent is related to the “perturbation dimension” d. In rectifiable cases d is an integer. Otherwise, d is a real number. As a practical application, we characterize the roughness evolution of a shot-blasted surface as a function of the abrasive particule size.     

Determination of stretch-bendability limits and springback for T-section beams

A mathematical model for stretch-bending of T-section beams is introduced in the present study. A complete analysis using the strength-of-materials approach is carried out for two different locations of the flange of the beam with respect to the forming die. The first position is called “flange in” which makes the flange in complete contact with the surface of the forming die and toward the center of curvature of the die. The second position is called “flange out” which makes the web of the beam toward the center of curvature of the die. The variations of the applied bending moment with the applied axial load for fully elastic, primary-plastic, and secondary-plastic regimes are derived. The effect of the web thickness on stretch-bendability as well as springback are presented and discussed.