A strategy was proposed to make machining rate stable and the machining precision achieved by properly tool dwelling time when surface still has form error after previously machining. Using computer simulation to plan tool dwelling time and to estimate practicability of this strategy. As a result of curvatures are different on the every points of the work piece surface. Normal vectors that between tool and work pieces surface are not stable in polishing process.HDP conditions and film thickness will be changed by curvature radius of work pieces.So HDP conditions must be controlled when the planning of tool motion. Analyzing all of different aspheric surfaces to make sure this strategy can be used. The different thing that between axially symmetric and axially non-symmetric is tool dwelling time should be a linear function the product of the depth function of profile and the radius for symmetric work pieces, but that of axially non-symmetric work pieces only should be linearly proportional to the depth function of profile.

Synthesis of optically active dendrimers based on 1,1'-bi-2-naphthol enantiomers and their derivatives as core units is growing rapidly due to the unique behavior and properties of the new compounds and their various valuable applications in several fields such as asymmetric catalysts, enantioselective fluorescent sensors and in chiral molecular recognition. To the best of our knowledge, the synthesis of binaphthyl-based symmetrical and asymmetrical axially chiral dendrimers via 1,3-cycloaddition reactions ["Click" chemistry] using Fréchet-type dendrons and their azido-analogues has not been studied yet. The principal aim of this project was the synthesis and characterization of a novel series of binaphthyl-based symmetrical and asymmetrical axially chiral dendrimers via "Click" and etherification reactions, and then determination of the specific and molar rotation of the new dendrimers to investigate the influence of linkage nature between the dendritic wedges and the core units on the optical properties in presence of the triazole ring by comparing of the properties of the new dendrimers with the dendrimers reported in literature, in addition to study the influences of different chemical groups near the dendritic wedges on the optical properties of the novel synthesized dendrimers. In conclusion, several families of novel BINOL-based symmetrical and asymmetrical axially chiral dendrimers have been synthesized by the reaction of well-known BINOL derivatives as core units with Fréchet-type dendrons and their azido-analogues via "Click" and etherfication reactions for the first time. All new dendrimers were obtained in very good yields which confirm the effectiveness of "Click" reaction in this type of synthesis. The new dendrimers were fully characterized by 1H, 13C and HMQC NMR spectroscopy, mass spectrometry, IR spectroscopy and UV-Vis spectrometry. All new dendrimers show moderate optical activity. Changes in the specific and molar rotation are characterized by a general decrease in the specific rotation and a general increase in the molar rotation with the increase in the dendritic wedges generation in each series of the synthesized dendrimers. By our current knowledge, the increase in the specific rotation as generation increases of (S)-358, (S)-359 and (S)-360 observed in this research is the first such observation. The presence of the triazole ring in the linkage between the core unit and the dendritic wedges plays an important role in reducing of the steric repulsion between the two naphthyl units and in reducing of the effect of the dendritic wedges generation on the torsional angle by making the wedges far away from the attachment point of the two naphthyl units.

No description available.

This research study is conducted on one bay-one story non-sway frames where the effects of the rotational restraint and slenderness ratio on the post-buckling strength of the axially restraint column under thermal load are studied. Geometric non-linear analysis of the structures is performed using a research program based on the beam-column theory. A total 32 models are created considering two different bottom end conditions: fixed and hinged, slenderness ratios: 50 and 125, and the beam to column length ratios: 0.5,1,1.5 and 2, to account for the variation in the rotational restraint. All models are subjected to thermal loads and numerical results are obtained to study the post-buckling behavior of the columns of the frames under thermal loads.

<p> This study investigates the flow patterns and wall shear rate distributions downstream from a series of three glass model symmetric bifurcations, typical of the blood vessels in man. The models have a single included angle of 75° and total output to input flow area ratios of 0.75, 1.02 and 1.29, covering the physiological range. The Reynolds numbers studied (based on parent tube) were 400, 800 and 1200 in steady flow.</p> <p> Local fluid velocities were obtained at a number of axial positions along the bifurcation daughter tube via a neutrally buoyant tracer particle technique utilizing cine photography. This provided sufficient information to determine the three velocity components for each particle. The tangential and radial components were in general less than 6% of the mean axial velocity. In the case of the axial components, an analytical representation of the velocity in polar coordinates was obtained. This analytical function permits evaluation of wall shear rate distribution.</p> <p> The velocity pro£iles were found to be symmetric with respect to the plane of the bifurcation. At two diameters downstream from the carina the velocity profiles in the plane of the bifurcation showed a high peak near the inside wall of the branch. With distance downstream the peak was convected tangentially evening out the profile towards an axially symmetric mountain plateau with a dished top.</p> <p> Wall shear rate as a function of θ at constant axial position was represented by displaced cosine function. The highest shear rates always occurred on the inside wall of the daughter tube and the lowest on the outside wall. In general, the largest deviation from developed shear rates occurred close to the carina.</p> <p> The largest positive deviation in wall shear rate from developed values was found in the small area ratio bifurcation and the lowest wall shear rate value was found in the large area ratio bifurcation (a = 1.29) indicating possible flow separation near the carina. The biological implications of the shear rate information generated are discussed.</p> / Thesis / Master of Engineering (MEngr)

The objective of this study was to numerically investigate the effects of slenderness ratios and end rotational restraints on the post-buckling behavior of non-sway columns. To study the effect of end restraints, numerical solutions were generated for three different support conditions, namely, hinged-hinged, fixed-hinged and fixed-fixed. Furthermore, for each of these support conditions, the effects of slenderness ratios on the post-buckling response were analyzed by considering the slenderness ratios of 50,125 and 200. Based on the numerical data presented in this thesis, the following conclusions can be made.  The unrestrained columns under mechanical loads do not exhibit any significant post-buckling strength.  Restrained Columns subjected to thermal loading undergo significantly smaller deformations in contrast to unrestrained columns, where deformations are relatively larger as the loads are increased only slightly above their critical levels.  The mechanical post-buckling response does not seem to depend on the slenderness ratios of the columns ;whereas the thermal post-buckling response depends on the slenderness ratios of the columns with the relative deformation decreasing with slenderness ratio at a given temperature ratio.  Post buckling behavior of columns subjected to mechanical loadings does not seem to change when the rotational restraints are added whereas in case of columns subjected to thermal loading, the post-buckling response depends on the rotational restraints at the ends of the column. o For a constant slenderness ratio, the deflection ratio was found out to be the smallest for the hinged-hinged column and largest for the fixed-fixed column subjected to thermal loads at a given temperature ratio.

京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第19513号 / 理博第4173号 / 新制||理||1599(附属図書館) / 32549 / 京都大学大学院理学研究科化学専攻 / (主査)教授 丸岡 啓二, 教授 大須賀 篤弘, 教授 依光 英樹 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DGAM

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Thesis (MScEng (Civil Engineering))--Stellenbosch University, 2008. / Doubly symmetric I-section columns are often utilised in portal frame construction. The sheeting (or cladding) is carried by sheeting rails connected to the outer flange of these columns. Although it is common practice to include the sheeting rails in the longitudinal bracing system, by connecting the sheeting rail to the cross-bracing, designers must be wary because the connection between column and sheeting rail will not prevent twisting of the columns cross-section. It has been shown ([11], [12], [17]), that by including this eccentric restraint into the bracing of the column, that a torsional-flexural buckling mode of failure can occur when the column is subjected to axial load only. It was seen that this phenomenon is provided for in BS 5950 [18], but is not present in many other design codes of practice, in spite of this phenomenon being relatively well known. In some cases the compression resistance of a column can be significantly reduced when compared to that of a flexural buckled configuration. Previous work performed by Helwig and Yura [15] proposed specific column to sheeting rail connections which would allow for the sheeting rails to be used as elastic torsional braces and effectively rigid lateral braces. However, it is the objective of this investigation to determine if it is possible to include the eccentric sheeting rails into the bracing system, even when using a relatively simple cleat connection with only two bolts onto the sheeting rail. The objective of the research was investigated by conducting experimental tests coupled with a series of detailed finite element analyses. The purpose of the experimental set-up was to investigate the behaviour of a column laterally supported on one flange by a continuous sheeting rail and to compare it to the behaviour of a column laterally supported on both flanges by means of fly-braces (“kneebraces”). The behaviour of the columns, as determined by the experimental tests, was validated by the finite element analyses. The evident conclusion that can be drawn is that, for the case of a continuous sheeting rail, connected to column simply by two bolts and a cleat, that sufficient torsional restraint is provided to the column to prevent torsional-flexural buckling from being critical. This result is helpful, as it means that the buckling capacity of a column can be increased four-fold by enforcing the second flexural buckling mode instead of the first mode through utilising a continuous sheeting rail connected to a cross-bracing system as longitudinal bracing on the columns. This can be achieved without the need to provide any specific detailing to the column to sheeting rail connection. It is however, recommended that further experimental work be conducted on varying lengths of column in order to further validate the results of this work.

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