An Investigation Into Mathematical Models of Optimal Tolerancing Supporting Concurrent Engineering

Author(s):  
Genbao Zhang ◽  
Michel Porchet

Abstract This paper presents a new tolerance design theory — simultaneous tolerancing which works in the concurrent engineering context. After the necessity to develop a simultaneous tolerancing theory is stated, by showing the shortcomings of conventional tolerancing technique, the concept of simultaneous tolerancing is given, and its elements are briefly presented. Then we focus our attention on the development of a general mathematical model of optimal tolerancing supporting concurrent engineering. Two commonly used models, worst-case and statistical, are discussed in detail. Next, a method of “interim tolerances”, which help to determine an appropriate machining process without using functional tolerances, is proposed. The simultaneous tolerancing theory presented in this paper permits of determining directly optimal machining tolerances in product design, reducing the manufacturing cost and improving the quality of products.

The Cutting process used in milling is one of the most common type of industrial machining methods. Similar to traditional milling spindles, the motor driven spindles are fitted with an integrated motor, thereby eliminating belts and gears for the transmission of power from the motor to the cutting tools. The innovative machine tools should be highly characterized systems in order to retain the necessary precision, efficiency and reliability. To satisfy their end user's reliability and availability requirements, both the spindle system (Tool/Tool-Holder/ Spindle) and motor tool system need to be configured for their usability and output results. However, the quality of a control device in industrial practice is greatly affected by the spindle cutting output and its reliability. The motor spindles are nothing but the rotating drive shafts which acts as axes for cutting force tools or in machining process for holding cutting instrument. Hence the spindles are one of the important factor in machining tool process and productivity, as these are used to produce parts as well as machines that produce components, which in turn have a significant impact on production levels and quality of products.


Author(s):  
P. M. Martino ◽  
G. A. Gabriele

Abstract The proper selection of tolerances is an important part of mechanical design that can have a significant impact on the cost and quality of the final product. Yet, despite their importance, current techniques for tolerance design are rather primitive and often based on experience and trial and error. Better tolerance design methods have been proposed but are seldom used because of the difficulty in formulating the necessary design equations for practical problems. In this paper we propose a technique for the automatic formulation of the design equations, or design functions, which is based on the use of solid models and variational geometry. A prototype system has been developed which can model conventional and statistical tolernaces, and a limited set of geometric tolerances. The prototype system is limited to the modeling of single parts, but can perform both a worst case analysis and a statistical analysis. Results on several simple parts with known characteristics are presented which demonstrate the accuracy of the system and the types of analysis it can perform. The paper concludes with a discussion of extensions to the prototype system to a broader range of geometry and the handling of assemblies.


2010 ◽  
Vol 139-141 ◽  
pp. 1206-1210 ◽  
Author(s):  
Chi Bing Hu ◽  
Fang Yong Tian ◽  
Yan Cang Jiang

Based on the design theory of non-circular gears, using Visual Basic 6.0 Programming language secondary developed SolidWorks software, a system of elliptical gears parametric design and motion simulation was developed. 3D parametric modeling and motion simulation of elliptical gears can be achieved by this system. The development process of system is introduced in detail, and an example which designed a transmission with two identical three rank elliptical gears was given to illustrate the system operation process in detail. Using elliptical gears pair ratio cyclical curves acquired, compared with theoretical transmission ratio can verify design whether meet the requirements. Complex design and calculation and difficult 3D modeling problems of elliptical gears are solved, and this system can also improve design precision, shorten the development cycle, and guarantee the quality of products.


2020 ◽  
Vol 14 (3) ◽  
pp. 265-272
Author(s):  
Živko Kondić ◽  
Đuro Tunjić ◽  
Leon Maglić ◽  
Amalija Horvatić Novak

The determination of tolerances has a huge impact on the price and quality of products. The objective of tolerance analysis is to provide the widest possible tolerance range of parts, without disturbing the functionality of the assembly. Tolerance analysis should be performed during the design process because then there is still the possibility for change. For the purpose of carrying out the analysis, three methods will be used: Worst Case method, Root Sum Square method and Monte Carlo Simulation. Methods are explained through simple examples and applied on the one-way clutch.


Author(s):  
M. G. Galkin ◽  
A. S. Smagin ◽  
A. S. Poupyreva

In the process of multivariate design of machining technology, one of the important tasks is to select the optimal cutting conditions at the final transitions of the forming process, providing a given quality of the surfaces on the workpiece made of the appropriate material. At the same time, to describe most of the design procedures of the machining process, there are problems associated with the algorithm for choosing the solution method, the response function and the range of acceptable solutions at all stages of processing. In this paper, as an algorithm for solving the problem, we propose the use of the known method of extreme planning of the experiment, which allows to obtain a mathematical model of the investigated multifactorial process with incomplete knowledge of its optimization mechanism. In the process of implementation of this algorithm in real production conditions on the basis of a priori information, the research area was chosen and the main levels of factors and intervals of their variation in this area were established. Then a full factorial experiment was carried out and its results were processed on the basis of a linear polynomial taking into account linear effects and interaction effects. As a result of testing the polynomial confidence intervals were determined for all regression coefficients by four parallel experiments at the same values of factors. In the second phase, were evaluated the adequacy of most mathematical models of the Fisher test. In the end, the transition from the coded values of the factors in the mathematical model to their natural values was carried out. Using the final model with natural values of the factors, a numerical experiment was conducted, which determined the optimum region with the most unfavorable treatment mode. Such a study allows to simplify the procedure for assigning the processing mode of the workpiece at the final stage in the conditions of the current production, while ensuring the specified quality of the machined surfaces and maintaining the productivity of the forming process. This technique is the subject of consideration in this work.


2018 ◽  
Vol 20 (91) ◽  
pp. 38-41
Author(s):  
B. Kozij ◽  
O. Stepanjuk

Livestock products that is supplied to the consumers must meet the certain standards of quality. Quality is estimated on the size of some indexes. The proper values of these indexes of quality are provided at the products manufacture in agricultural enterprises. Livestock products of corresponding quality can be got only from healthy animals at maintenance of that the proper level of welfare is provided. As on a animals `health, and, thus, on quality of products from it, the various factors of environment influence, there is a necessity of creation of methodology taking into account of total effect of such influence. A mathematical model is proposed by means of that it is possible to estimate influence of various ecological, technological, hygienical factors on quality of animals products is offered in this article. Such influence can be estimated by means of some coefficient of decline of products quality of animal in comparison maximally possible quality that takes place at comfort for an animal terms of maintenance. The groups of factors, that influence on welfare of animals, are certain, the scale of estimation of their influence is offered on the productivity of animals, the algorithm of determination of size of decline of stock quality of livestock coefficient of products and method of it realization are worked out by facilities of tabular processor. The offered methodology of determination of coefficient of quality decline of products of animals gives an opportunity to estimate influence of separate groups of factors on some index of quality, that is qualificatory for this type of products. It, in turn, allows to educe those defects in the system of retaining of animals, supervision upon them that most substantially influence on welfare of animals, and, thus, on quality of products from them. Application of the offered methodology of determination of quality coefficient of products of animals provides possibility of receipt of quantitative estimation of influence of various factors on quality of animals products, that, in turn, allows on the stage of planning, the production on the stage of designing agricultural livestock complexes to provide and minimize negative influences of separate factors.


Author(s):  
S.B. Kudryashev ◽  
◽  
N.S. Assev ◽  
R.D. Belashov ◽  
V.A. Naumenko ◽  
...  

The article is devoted to solving one of the most important problems of the development of the sugar industry in Russia – the modernization of sugar production processes. Today, sugar production is actively being modernized, shifting most of its processes to the path of avomatization and optimization to improve the quality of products. This article describes one of the main ways to obtain information about the concentration of sucrose in syrup in the production of sugar.


2018 ◽  
Author(s):  
C. Coy ◽  
A.V. Shuravilin ◽  
O.A. Zakharova

Приведены результаты исследований по изучению влияния промышленной технологии возделывания картофеля на развитие, урожайность и качество продукции. Выявлена положительная реакция растений на подкормку K2SO4 в период посадки. Корреляционно-регрессионный анализ урожайности и качества клубней выявил высокую степень достоверности результатов опыта. Содержание нитратов и тяжелых металлов в клубнях было ниже допустимых величин.The results of studies on the impact of industrial technology of potato cultivation on growth, yield and quality of products. There was a positive response of plants to fertilizer K2SO4 in the period of planting. Correlation and regression analysis of yield and quality of tubers revealed a high degree of reliability of the results of experience. The contents of nitrates and heavy metals in tubers was below the permissible values.


2019 ◽  
Vol 7 (2) ◽  
Author(s):  
Widodo Widodo ◽  
Marshelly Chandra Kumala

<em>The objective of this is research was conducted to find out how the influence of the price and quality of products against customer loyalty at PT. Alakasa Extrusindo Jakarta. This research was conducted in Alakasa Extrusindo PT by doing data collection, through the primary data and secondary data.  The research results showed that the simultaneous price variables  and product quality  has a positive and significant effect against the variable customer loyalty. partially showed that price variables has a positive and significant influence towards customer loyalty. And partially showed that product quality variables  has a positive and significant influence towards customer loyalty</em>


2020 ◽  
pp. 12-18
Author(s):  
F.A. Urazbahtin ◽  
A.YU. Urazbahtina

A multifactor mathematical model of the welding process of products from aluminum-magnesium alloys, consisting of 71 indicators that assess the quality of the weld, the welding process, costs, equipment operation and quality of the welded material. The model can be used to control and optimize the welding process of products from aluminum-magnesium alloys. Keywords welding, products, aluminum-magnesium alloy, indicators, process parameters, welding equipment, welding materials, electrode sharpening, lining [email protected]


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