Описание: Abstract: A great deal of research work has been focussed on the theoretical and experimental studies of mechanical manipulators in recent years. Almost all of these works are related to open-loop serial-link mechanisms, but only a few have dealt with multi-degree-of-f reedom parallel manipulators such as the Stewart platform or similar mechanisms . A new type of two-degree-of -freedom Rotary-Linear (R-L) actuator was adapted in this work. Several possible configurations of parallel six-degree-of-f reedom manipulators with ground-mounted actuators have been synthesized. With parallel configuration of the manipulators, the computations can be performed simultaneously. Therefore, the computation time will be significantly reduced. Workspace analysis of a six-degree-of -freedom parallel manipulator has been presented by determining the shapes and boundaries of the subworkspace and root regions in the subworkspace. The workspace of the manipulator is obtained as the common reachable region of the subworkspaces determined by the corresponding subchains. The orientation and the rotatability of the platform are also investigated. Finally, mechanical error analysis of the manipulator, due to the minor inaccuracies in displacements of the actuators, is studied by using the theory of screws. Dissertation Discovery Company and University of Florida are dedicated to making scholarly works more discoverable and accessible throughout the world. This dissertation, "Kinematics of Parallel Manipulators With Ground-mounted Actuators" by Tzu-Chen Weng, was obtained from University of Florida and is being sold with permission from the author. A digital copy of this work may also be found in the university's institutional repository, IR@UF. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation.
Автор: Weng, Lin (kyushu Univ, Japan) Название: Zeta functions of reductive groups and their zeros ISBN: 9813231521 ISBN-13(EAN): 9789813231528 Издательство: World Scientific Publishing Рейтинг: Цена: 29304.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology theory, and the analytic one, from Langlands' theory of Eisenstein systems and some techniques used in trace formula, respectively. Apparently different, they are unified via a Lafforgue type relation between Arthur's analytic truncations and parabolic reductions of Harder-Narasimhan and Atiyah-Bott. Dominated by the stability condition and/or the Lie structures embedded in, these zeta functions have a standard form of the functional equation, admit much more refined symmetric structures, and most surprisingly, satisfy a weak Riemann hypothesis. In addition, two levels of the distributions for their zeros are exposed, i.e. a classical one giving the Dirac symbol, and a secondary one conjecturally related to GUE.
This book is written not only for experts, but for graduate students as well. For example, it offers a summary of basic theories on Eisenstein series and stability of lattices and arithmetic principal torsors. The second part on rank two zeta functions can be used as an introduction course, containing a Siegel type treatment of cusps and fundamental domains, and an elementary approach to the trace formula involved. Being in the junctions of several branches and advanced topics of mathematics, these works are very complicated, the results are fundamental, and the theory exposes a fertile area for further research.
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