Computer aided correct mathematical models of electrodynamical processes in open waveguide resonators

Author(s):  
I.E. Pochanina ◽  
N.P. Yashina
1984 ◽  
Vol 106 (4) ◽  
pp. 313-324 ◽  
Author(s):  
L. H. Chen ◽  
S. M. Wu

The geometric characteristics of nine representative Multifacet Drills (MFD’s) are summarized. Mathematical models of the various component surfaces are derived and analyzed using coordinate transformations. The mathematical models of the geometric elements are used to deduce appropriate grinding methods. Computer plots of MFD’s are also presented to check the mathematical models and to lay a foundation for future work on computer-aided design (CAD) of MFD’s.


Author(s):  
Y. S. Liu ◽  
S. M. Gao

In most present CAD systems, the accurate geometry representation of a part is given but the tolerance is just a text attribute without semantics. It hampers the integration of CAD/CAM. In last two decades, much research has been conducted on computer aided tolerancing. And many approaches to generation of variational geometry for various kinds of features have been given. However how to generate the variational geometry of a pattern of holes (POH) is not well studied yet although a POH is one of the most widely-used features in mechanical design. Based on DOF, an approach is proposed for generating variational geometry of a POH with composite positional tolerance in this paper. First, the limitation conditions for variations of a POH are given. Second, the mathematical models of translational and rotational variations are systematically derived. Then the algorithm for generating variational geometry of a POH is given. At last the proposed approach has been implemented with Visual C++ based on the geometric modeling kernel ACIS5.0.


Author(s):  
А. М. Шахновський ◽  
О. О. Квітка ◽  
В. О. Овсянкіна

Improving the process of initial design data preparation at the stage of preliminary design of sustainable indusrtrial water networks (including natural water and wastewater treatment networks, water usage networks, as well as waste collection & disposal networks). An effective synthesis of optimal chemical-engineering systems based on the process integration paradigm requires, first of all, the proper quality of the initial data for the design. Evidence-based principles for the collection and processing of input data based on methods of mathematical statistics were proposed. Procedures for the preparation of initial grassroot/retrofit design data were developed. The purpose of procedures developed was compilation of water balances, parametric identification of mathematical models of water users, water treatment units and other units of the water management networks, etc. The problem of collecting and processing the initial data for the industrial water economy networks design (including water usage networks, wastewater collection, disposal and treatment networks as well as water conditioning and purification networks) in the absence of a systematic accumulation of such data at the enterprise was raised. The proposed systematic scientific approach was based on the methods of mathematical statistics. The proposed approach provides the formalization of knowledge for creating computer-aided systems of water economy sustainable design. In order to support decision-making at the preliminary design research stage, the specialized software was developed. The developed software was a component of a computer-aided system of water networks design based on the principles of process integration in accordance with the sustainable development paradigm. The proposed concepts of a priori analysis at the preliminary design stage was illustrated by an industrial case study. As an example, the identification of mathematical models of a pharmaceutical enterprise water usage units was presented.


2011 ◽  
Vol 80-81 ◽  
pp. 1118-1122
Author(s):  
Ai Qin An ◽  
Ming Hua Pang ◽  
Lian Feng Zhang ◽  
Yong Fang Nie

Logix gear is a new gear based on new tooth profile theory. On the primary, the forming principle of the logix gear tooth profile is analysed. Then the tooth profile curve equations of logix gear are derived, and their center coordinate equations of base circle are given. According these equations, their curves are simulated using Matlab, which are corresponded to practical tests. The study lays a foundation of computer aided design of the logix gears. And the study can be used to perfect mathematical models and to optimize manufacturing methods.


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