<p> Burr formation is a frequent problem in metal cutting. Burrs, which are defined as undesired projections of material resulting from plastic deformation, affect the precision of machined components and can negatively affect the assembly process. One common burr is the exit burr that forms when drilling ductile materials such as aluminum alloy. Deburring, the process of removing burrs, can account for up to 30% of the total production cost. If the burr size can be reduced, the deburring effort can also be reduced or even eliminated, resulting in an improvement in productivity and an increase in profit. </p> <p> There are different methods to reduce burr formation in drilling. One method is known as vibration assisted drilling. Vibration assisted drilling has been reported as an effective method to reduce burr height without reducing the material removal rate or permanently altering the mechanical behavior of the workpiece material. Other reported benefits of vibration assisted drilling include improvement of tool life and better machined surface quality. However, it has been reported that poor choice of vibration conditions (frequency and amplitude) can increase burr height. No accurate analytical model exists in the current literature that can predict the exit burr height for vibration assisted drilling. To predict exit burr height, a model capable of predicting thrust force accurately is important because higher thrust force produces larger exit burr. Clearly there is a need to develop these models. </p> <p> This thesis presents the development of analytical models for predicting thrust force and exit burr height for vibration assisted drilling of aluminum 6061-T6. The developed models incorporate all significant characteristics of vibration assisted drilling to achieve accurate predictions. Drilling experiments were performed over a range of cutting and vibration conditions. The experimental results demonstrate that the developed thrust force model improves the accuracy by up to 45% in comparison to the existing vibration assisted drilling models. The developed burr height model accurately predicts the exit burr height for vibration assisted drilling, with an averaged deviation of 10% from the experimental results. The developed models are also applicable to conventional drilling. Comparing with the existing drilling models, the new models improve the accuracy of thrust force and burr height predictions by 6 and 36% respectively. A fast analytical method has also been developed that predicts the favourable vibration conditions that minimize burr height. The predictions obtained using this method are consistent with the experimental results. Drilling experiments for combined frequency vibration assisted drilling were also performed over a range of vibration conditions. The experimental results demonstrate that combining two different favourable vibration conditions together produces greater mean thrust force reduction than using a single frequency vibration assistance. </p> / Thesis / Doctor of Philosophy (PhD)

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This thesis is titled "A Framework for Enhancing the Accuracy of Ultra Precision Machining." In this thesis unwanted relative tool / workpiece vibration is identified as a major contributor to workpiece inaccuracy. The phenomenon is studied via in situ vibrational measurements during cutting and also by the analysis of the workpiece surface metrology of ultra precision diamond face turned aluminum 6061-T6. The manifestation of vibrations in the feed and in-feed directions of the workpiece was studied over a broadband of disturbance frequencies. It is found that the waviness error measured on the cut workpiece surface was significantly larger than that caused by the feed marks during cutting. Thus it was established that unwanted relative tool / workpiece vibrations are the dominant source of surface finish error in ultra precision machining. By deriving representative equations in the polar coordinate system, it was found that the vibrational pattern repeats itself, leading to what are referred to in this thesis as surface finish lobes. The surface finish lobes describe the waviness or form error associated with a particular frequency of unwanted relative tool / workpiece vibration, given a particular feed rate and spindle speed. With the surface finish lobes, the study of vibrations is both simplified and made more systematic. Knowing a priori the wavelength range caused by relative tool / workpiece vibration also allows one to extract considerable vibration content information from a small white light interferometry field of view. It was demonstrated analytically that the error caused by relative tool / workpiece vibration is always distinct from the surface roughness caused by the feed rate. It was also shown that the relative tool / workpiece vibration-induced wavelength in the feed direction has a limited and repeating range. Additionally, multiple disturbance frequencies can produce the same error wavelength on the workpiece surface. Since the meaningful error wavelength range is finite given the size of the part and repeating, study then focussed on this small and manageable range of wavelengths. This range of wavelengths in turn encompasses a broadband range of possible disturbance frequencies, due to the repetition described by the surface finish lobes. Over this finite range of wavelengths, for different machining conditions, the magnitude of the waviness error resulting on the cut workpiece surface was compared with the actual relative tool / workpiece vibrational magnitude itself. It was found that several opportunities occur in ultra precision machining to mitigate the vibrational effect on the workpiece surface. The first opportunity depends only on the feed rate and spindle speed. Essentially, it is possible to force the wavelength resulting from an unwanted relative tool / workpiece vibration to a near infinite length, thus eliminating its effect in the workpiece feed direction. Further, for a given disturbance frequency, various speed and feed rate combinations are capable of producing this effect. However, this possibility exists only when a single, dominant and fixed disturbance frequency is present in the process. By considering the tool nose geometry, depth of cut, and vibrational amplitude over the surface finish lobe finite range, it was found that the cutting parameters exhibit an attenuating or filtering effect on vibrations. Thus, cutting parameters serve to mitigate the vibrational effect on the finished workpiece over certain wavelengths. The filter curves associated with various feed rates were compared. These filter curves describe the magnitude of error on the ultra precision face turned workpiece surface compared with the original unwanted tool / workpiece vibrational magnitude. It was demonstrated with experimental data that these filter curves are physically evident on the ultra precision diamond face turned workpiece surface. It was further shown that the surface roughness on the workpiece surface caused by the feed rate was reduced with relative tool / workpiece vibrations, and in some cases the feed mark wavelength was changed altogether. Mean arithmetic surface roughness curves were also constructed, and the filtering phenomenon was demonstrated over a broadband of disturbance frequencies. It is well established that a decrease in the feed rate reduces the surface roughness in machining. However, it was demonstrated that the improved surface finish observed with a slower feed rate in ultra precision diamond face turning was actually because it more effectively mitigated the vibrational effect on the workpiece surface over a broadband of disturbance frequencies. Experimental findings validated this observation. By only considering the effect of vibrations on the surface finish waviness error, it was shown that the workpiece diamond face turned with a feed rate of 2 {tm / rev has a mean arithmetic surface roughness, Ra , that was 43 per cent smaller than when a feed rate of 10 μm / rev was used. / Thesis / Doctor of Philosophy (PhD)

The purpose of this project was to show the updated procedures and to make additions to the computer program called Tmin designed by E. I. DuPont De Nemours and Company. This program is used as a screening tool for determining the largest of the minimum pipe-wall thicknesses in a piping system. This project involved several additions that will be released in the next version of the Tmin computer program. The first major additions to be implemented are four alternating Stress-to-Number of cycles curves: Aluminum 1100, Aluminum 3003-0, Aluminum 6061-T6, and Nickel 200. In addition, procedures of the ASME for fatigue curve analysis and implementation of fatigue data were investigated. These four stress-to-number of cycles (S-N) fatigue curves were added to Tmin's internal Microsoft Access® database. Next, a 2-D vertical piping span configuration was incorporated. Finally, DuPont required a Microsoft Word® document output of the pipe-wall thickness data including the piping span model information. Other user-friendly additions were included. Since this computer program was to be American Society of Mechanical Engineers (ASME) compliant, a study of the ASME Pressure Vessel and Piping standards and codes was made to determine how pipe-wall thickness calculations were to be processed. The 2-D vertical piping span calculation procedures were investigated. Once the 2-D vertical piping span analysis was complete, the largest pipe-wall thickness value calculated were passed to a Microsoft Word® document. The last implementation is the inclusion of help files. Help file button additions in all input boxes allowed for the user to know exactly what was needed before a data entry was made. / Master of Science