A mathematician is one who knows how to find analogies between statements; the best mathematician is the one who establishes analogies of proofs; the stronger mathematician is the one who notices the analogies of theories; but one can also imagine someone who sees analogies between analogies.

Polish scientist S. Banach (1892 - 1945)

Nomogram systems for solving engineering problems

The process of scientific and technical creativity is characterized by the search for a solution in conditions of uncertainty, lack of information, the way out of which is to analyze the data and make a decision. Intuition plays an important role in the decision-making process, perhaps in part being the experience of a lot of analytical work. This is rather a result than a beginning, notes the French psychologist A. Spier. How many varieties of brainstorming alone exist as a variant of intensive analytical work: individual, reverse, pair and mass, two-stage, with an assessment of ideas, a “conference of ideas”, with an additional collection of proposals, etc. There are whole concepts that determine the approach to solving scientific and technical problems of varying complexity. For example, below is a table, which shows the stages of the creative process depending on the level of inventive problems. But ... if your experience did not lead to any discovery, then the decision made, the developed methodology will probably allow you to move forward in its accomplishment "later". An "unsolvable" problem is often solved due to the action of the "relay" mechanism. We need to organize the data.
It seems important to accumulate relevant experience in solving technical problems in the form of a base of graphical analytical systems (graphical analytical calculations) with the possibility of conducting computational experiments on their basis. - modeling of processes and operation of technical systems.

The solution of a problem of any complexity can be represented as a system of interconnected nomograms (graph-analytical system)

PROGRAMS FOR GRAPHANALYTICAL CALCULATION

Presenting data as an organized system is an excellent way to visually present calculation methods, process characteristics, or plant capabilities, which allows you to evaluate the interaction and dynamics of parameter changes.

With the help of interconnected systems of nomograms, the choice of the optimal set of parameter values is carried out by operative manipulation of data fields (ranges) with the possibility of conducting a computational experiment.

A separate computer program has been developed for each level:
✅ for works of the first level on the site there is a program for working on-line (work with individual formulas - contains a calculator of formulas, an on-screen keyboard). To run the program, you need to connect to the browser to run the java applet. The results are formatted as a text file, which can be copied to the clipboard and, further, to any text editor. If it is necessary to correct the calculation, this text file can be returned to the program;
✅ for works of the second level, a stand-alone program (C++) is intended, which allows you to work with a calculation method that includes separate calculation blocks, cycles, conditions, etc. The methodology, calculation results, and completed nomogram systems are entered into the MS ACCESS database and can be promptly corrected. For this level, the computing capabilities of a PC are important, since when building an excessively large field of options, it can take several days (further, work with the finished results base (field of options) occurs quickly);
✅ to illustrate the third level of work with data (modeling of processes, operation of a technical system), an example of a computational experiment is given on the site.

❉ Creation of a base of graph-analytical calculations will allow to quickly solve various engineering and other problems.

We propose to share the nomogram systems you have received with the public and post them on our website with the copyright preserved.

Currently, the site provides examples of solving well-known technical problems, simple in execution, & nbsp; - selection of design parameters of springs, bearings, gears, calculations of beams and pipes for strength, flow parameters in a coil channel, capillary through a throttle washer (throttle); solving problems of heat transfer, heat transfer, calculation of electrical systems, etc. For convenience, the site is supplemented with reference information.

To create more complex integrated systems, new solutions and techniques, an inventive, creative approach is needed. Below is a table of levels and stages of technical creativity, proposed by A.V.Chus and V.N.Danchenko in the book "Fundamentals of Technical Creativity".

Table - Levels of technical creativity and its stages

Levels of inventive problems	Stages of the creative process
	A	B	C	D	E	F
	Task selection	Choice of search concept	Collection of information	Finding a Solution Idea	Development of an idea into a design	Implementation
5	Found a new problem	Found a new method	Received data related to the problem	Found a new principle	Created new design principles	Changed the whole system, which included a new design
4	New task found	Found a new search concept	Received data related to the task	Found a new solution	Created a new design	Design applied in a new way
3	Changed the original task	The search concept has been changed in relation to the conditions of the task	The collected information has been changed in relation to the conditions of the task	Known solution changed	Changed the original design	New design introduced
2	One of several tasks selected	One search concept out of several was used	Collected information from several sources	Selected one solution from several	One of several designs selected	Implemented modification of the finished design
1	Prepared task used	Used ready-made search concept	Available information used	Ready solution used	Prefabricated design used	Finished design implemented

The development of technical systems using the graphical-analytical method will help you save time, and the process of finding a solution will become less routine and more analytical.

Since theory must be supported by practice, the issues of design, construction, manufacture and supply are raised on the site "Your pilot production" (trest.com.ua)

Thematic sections of calculations (GaS)

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E-mail: nomogramka@gmail.com

graphic-analytical systems