The main Parts Gas Chart of nomograms  Reference information

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)


      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.  


     The main ideas of this project are:
1) development of a methodology for the implementation of design work using the graphic-analytical method;
2) organization of engineering calculations using nomogram systems (NS) built on-line (or using an offline program for more complex calculations);
3) creation of a base for graphic-analytical calculations (graphic-analytical systems - GaS);
4) visualization of calculation results (computational experiment, modeling of processes) based on a complex of nomogram systems.

     The site presents a calculation method that includes three levels of work with data:
1 - performance of graphic-analytical calculation and construction of systems of nomograms for a component of a technical system;
2 - performing graphic-analytical calculation and building a set of NS for each process of a technical system, in which several of its components are involved (calculation of a complex technical system);
3 - visualization of the operation of the technical system, taking into account the choice of values of the parameters of the technical system using a set (or one) of nomogram systems (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







Task selection

Choice of search concept

Collection of information

Finding a Solution Idea

Development of an idea into a design



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


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


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


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


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" (


Thematic sections of calculations (GaS)



 graphic-analytical systems

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