Geometric characteristics

This thesis derives closed form equations to describe electromagnetic device characteristics for a toroid, solenoid and a case study induction machine. By considering stored magnetic field energy, this approach allows the relationship between electrical, magnetic and kinetic energy to be quantified and analyzed in ways that allows improved accuracy compared with conventional magnetic circuit modeling methods. This thesis also provides insights into how geometric parameters impact energy transfer and operational characteristics of electromagnetic devices.

112p runthenight04 02-02-2023 16 2   Download

This thesis aims to develop finite element models for studying vibration of the 2D-FGM beam. These models require high reliability, good convergence speed and be able to evaluate the influence of material parameters, geometric parameters as well as being able to simulate the effect of shear deformation on vibration characteristics and dynamic responses of the 2D-FGM beam.

27p xacxuoc4321 08-07-2019 64 8   Download

We prove the strong Macdonald conjecture of Hanlon and Feigin for reductive groups G. In a geometric reformulation, we show that the Dolbeault cohomology H q (X; Ωp ) of the loop Grassmannian X is freely generated by de Rham’s forms on the disk coupled to the indecomposables of H • (BG). Equating the two Euler characteristics gives an identity, independently known to Macdonald [M], which generalises Ramanujan’s 1 ψ1 sum. For simply laced root systems at level 1, we also find a ‘strong form’ of Bailey’s 4 ψ4 sum. ...

47p dontetvui 17-01-2013 63 7   Download

We describe a Schubert induction theorem, a tool for analyzing intersections on a Grassmannian over an arbitrary base ring. The key ingredient in the proof is the Geometric Littlewood-Richardson rule of [V2]. As applications, we show that all Schubert problems for all Grassmannians are enumerative over the real numbers, and sufficiently large finite fields. We prove a generic smoothness theorem as a substitute for the Kleiman-Bertini theorem in positive characteristic.

25p noel_noel 17-01-2013 52 6   Download

We devise a new criterion for linear independence over function fields. Using this tool in the setting of dual t-motives, we find that all algebraic relations among special values of the geometric Γ-function over Fq [T ] are explained by the standard functional equations. Contents 1. Introduction 2. Notation and terminology 3. A linear independence criterion 4. Tools from (non)commutative algebra

78p tuanloccuoi 04-01-2013 56 6   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: On the Geometrical Characteristics of Three-Dimensional Wireless Ad Hoc Networks and Their Applications

10p sting11 09-03-2012 54 4   Download

Geometry is a branch of mathematics related research space. Using experience, or perhaps by intuition, it is recognized by the space fundamental characteristics, the geometric axioms called the system. Axiomatic system including the original concept is not defined and the axioms (also known as the proposition) does not prove a relationship defined between the concepts.

12p phalinh14 07-08-2011 47 3   Download