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Finite Element Analysis on Planetary Three-Roll Rolling Advisor Prof.: Y. M. Hwang Student: F. H. Tsai ABSTRACT This paper used three-dimensional finite element code---Deform to analyze the plastic deformation behavior of material at the rolling-gap during planetary 3-roll rolling of rods or bars. The rigid-plastic model was used. The rolls are assumed to be rigid body and the change of temperature during rolling is ignored. The first part was used Deform to simulate the manufactured bars in factory. We analyzed the rolling force, torque and the shape after deformation. These results can offer knowledge for the design of actual rolling mill or pass schedule of the 3-roll rolling processes. The second part was compared with FEM and experiment. The simulation was made with the roll size and shape of a mini-type 3-roll rolling mill. We analyzed the rolling force, torque and the depth of spirals with different inclined angle, offset angle, roll shape and reduction.

Thesis (doctoral)--Uppsala, 1979. / Reprint. Originally published: Uppsala : Universitet, 1919. Summary in English. Includes bibliographical references (p. 142-146) and index.

Thesis (doctoral)--Uppsala, 1979. / Reprint. Originally published: Uppsala : Universitet, 1919. Summary in English. Includes bibliographical references (p. 142-146) and index.

Thesis (M.S. in Mechanical Engineering)--Naval Postgraduate School, March 2003. / Thesis advisor(s): Fotis A. Papoulias. Includes bibliographical references (p. 61). Also available online.

A high-speed, large-area technique capable of nanopatterning flexible substrates is highly desirable in several applications such as; 1) thin film photovoltaics (TFPV's), 2) flexible electronics, 3) optoelectronics, 4) energy storage devices and 5) biological applications. Flexible substrates are attractive as they can be lower in cost than traditional substrates, and provide the ability to perform continuous processing both of which are valuable for cost sensitive applications such as TFPVs. Also, flexible substrates can conform to non-planar surfaces and therefore provide versatility in applications such as wearable electronics and biomedical devices. In this thesis, a patterning approach known as Jet and Flash Imprint Lithography (J-FIL) is explored for flexible substrates. J-FIL uses inkjets to deposit low-viscosity UV curable polymer materials (resists) that are molded by a template at room temperature and low pressures prior to UV cross-linking. There are inherent advantages to the J-FIL process that lends itself to patterning flexible substrates. The room temperature and low pressure process makes it more compatible with flexible substrates which tend to become dimensionally unstable at elevated temperatures and pressure. The extension of J-FIL to flexible substrates involves the following key challenges: (i) Understanding the level of precision required in roll-to-roll machine systems to ensure that these systems can facilitate imprint and separation of nano-scale features; (ii) The substrate surface should be controlled to initiate and maintain proper interface with the template and avoid formation of bubbles; (iii) The tension in the film should be controlled to ensure that the discrete resist drops are coerced to form a uniform contiguous residual film underneath the patterns; (iv) The fluid filling time - that is representative of the process throughput - should be low; and (v) After UV curing and separation, the nanoscale patterns should not be deformed or damaged. The above challenges were addressed by developing a roll-to-roll test bed to imprint flexible polycarbonate films using the J-FIL process. The test bed has the capability of controllably varying a number of web tension parameters as well as process variables in order to calibrate machine precision and establish control schemes for a robust process. Process metrics such as RLT uniformity, target RLT accuracy, feature filling and feature distortion were measured and quantified. A design of experiments was performed on the test bed for the purposes tuning the process variables as well as developing a model of process performance, with respect to critical process parameters. A two-level design, with three input variables, is utilized in this experimental process. The process yielded blank imprints with mean thickness of 70.5 nm, and a standard deviation of 3.9 nm. The sensitivity of the mean thickness and uniformity to process variables were quantified. The best performing set of input parameters were then used during patterned imprints, to determine if any pattern filling issues or pattern deformation would take place. The patterned imprints, made up of an array of hexagonal pillars (125nm tall, by 240 nm wide, by 450 nm pitch) showed no sign of fluid filling voids, or deformation due to separation. Given this result, the feasibility of implementing J-FIL on a roll-to-roll prototype system was established. A proposed next generation flexible substrate J-FIL tool is presented, along with the expected challenges associated with metrology and dynamic noise. Future work entails the design and qualification of a full scale roll-based imprint tool, capable of meeting throughput metrics established for industrial applications. / text

The Canterbury Roll is a fifteenth-century genealogical chronicle roll that traces the succession of English kings from Noah until the Wars of the Roses. Created in a period when genealogy and ancestry had practical and ideological meaning in society, the Canterbury Roll is symbolic of the ideas of dynasty, myth and heritage that its original creators and readers valued. This thesis departs from previous historiographical approaches to genealogical rolls by treating the Canterbury Roll as a document that reflects the political culture in which it was produced. By examining the image, text and materiality of the manuscript, the thesis develops on existing scholarship and offers insights into the depiction of political prophecies, political theories of effective kingship, the justification of royal deposition and English perceptions towards foreign kingdoms and dominions. Political prophecies on the roll reveal how genealogy and prophecy contribute to a broader sense of history and prestige that the Lancastrian kings claimed to inherit. By using mythical royal depositions, the roll justifies the removal of Richard II and the Lancastrian dynasty’s legitimacy through not only hereditary right, but also contemporary political theory that validated the ousting of ineffective kings. The thesis also establishes that the roll reveals contemporary English attitudes towards other territories such as Scotland, Wales and France, which reflect the political and diplomatic context of the period. These themes demonstrate the capacity of genealogical manuscripts to present a nuanced view of contemporary political concepts. In doing so, this thesis both provides an in-depth textual analysis of the Canterbury Roll, and contributes to the historiography of medieval genealogical literature and political thought by approaching the manuscript as a source for the political culture of early fifteenth-century England.

One of the first questions to consider when designing a new roll forming line is the number of forming steps required to produce a profile. The number depends on material properties, the cross-section geometry and tolerance requirements, but the tool designer also wants to minimize the number of forming steps in order to reduce the investment costs for the customer. There are several computer aided engineering systems on the market that can assist the tool designing process. These include more or less simple formulas to predict deformation during forming as well as the number of forming steps. In recent years it has also become possible to use finite element analysis for the design of roll forming processes. The objective of the work presented in this thesis was to answer the following question: How should the roll forming process be designed for complex geometries and/or high strength steels? The work approach included both literature studies as well as experimental and modelling work. The experimental part gave direct insight into the process and was also used to develop and validate models of the process. Starting with simple geometries and standard steels the work progressed to more complex profiles of variable depth and width, made of high strength steels. The results obtained are published in seven papers appended to this thesis. In the first study (see paper 1) a finite element model for investigating the roll forming of a U-profile was built. It was used to investigate the effect on longitudinal peak membrane strain and deformation length when yield strength increases, see paper 2 and 3. The simulations showed that the peak strain decreases whereas the deformation length increases when the yield strength increases. The studies described in paper 4 and 5 measured roll load, roll torque, springback and strain history during the U-profile forming process. The measurement results were used to validate the finite element model in paper 1. The results presented in paper 6 shows that the formability of stainless steel (e.g. AISI 301), that in the cold rolled condition has a large martensite fraction, can be substantially increased by heating the bending zone. The heated area will then become austenitic and ductile before the roll forming. Thanks to the phenomenon of strain induced martensite formation, the steel will regain the martensite content and its strength during the subsequent plastic straining. Finally, a new tooling concept for profiles with variable cross-sections is presented in paper 7. The overall conclusions of the present work are that today, it is possible to successfully develop profiles of complex geometries (3D roll forming) in high strength steels and that finite element simulation can be a useful tool in the design of the roll forming process.

Significant effort has been made to quantify and predict roll damping of vessels in the past. Similarly, efforts have been made to provide effective methods for calculating the roll gyradius of vessels. Both the damping and the gyradius of a vessel are traditionally quantified through the use of a sally test. Experience with the USS Midway showed that shallow water has significant effect on the rolling period and thus the experimentally determined roll gyradius. To date, little effort has been directed to the problem of the effect of shallow water on roll damping and roll period except when trying to match model and full scale experimental data. No clear guidelines exist for the boundary between deep and shallow water or the amount of overprediction of roll period that is likely for a given water depth. In order to provide greater understanding of the effects of shallow water on roll period and roll damping, this thesis performed experiments in varying scale water depths for 5 models: 4 box barges and a model of the USS Essex. The following conclusions were reached: As water depth to draft ratio, d/T, approaches 1 the roll period can increase as much as 14%. The boundary between deep and shallow water is a water depth somewhere between 4 and 7 times the vessel draft depending on the particulars of the vessel's hull form. Vessels with a larger beam to draft ratio will experience shallow water effects in relatively deeper water, that is to say the depth to draft ratio will be greater at the upper limit of deep water. Additionally, vessels with a higher beam to draft ratio will experience larger shallow water effects for a given depth to draft ratio. Finally, for vessels of very fine hull forms, the boundary between deep and shallow water will occur a relatively shallower depths, in other terms, the boundary will occur at a lower depth to draft ratio. / Master of Science

published_or_final_version / Mechanical Engineering / Doctoral / Doctor of Philosophy