Start Date: 2012-04-02 End Date: 2014-04-07
Builders and car makers well know an important aid for precise strength calculation and strength calculation quality assessment called Technical and Theoretical Aid with Strength Calculation Program (TTASCP), or briefly TTAP. With a sufficient number of TTAP’s on hand design departments can diversify and upgrade their work. Director of the present project N.Khomasuridze took active part in the development of one of such TTAP’s, which was created at the Design Department of Tbilisi Machine-Tool Building Plant. Besides N.Khomasuridze participated in the creation of such TTAP’s as a member of a team engaged in the solution of some problems of national economy. Among such problems there was an important and urgent problem of mathematical stimulation of stress/strain state of a wheel rim with a bandage in a train carriage wheel couple. This problem was a subject of intensive studies both in the former Soviet Union and many other countries.
Besides the above-mentioned urgency of TTAP creation is determined by the appearance of new sophisticated gadgets and devices in precision engineering and by recently noticeable modernization of building materials, such as concrete, composite materials, multilayer structures, etc. and units made of them. Indeed, creation of sophisticated instruments and gadgets and new building materials with complex inner structures and manufacturing technology require creation of more perfect and precise methods for their calculation. Hence necessity arises for the improvement of existing TTAP’ and creation of new updated aids.
The final purpose of this project is to create TTAP for units and details of buildings and machines widely used in construction and machine-building. In this proposal these important elements are:
1) multilayer rectangular parallelepiped (MRP),
2) multilayer cylindrical bodies (MCB), or multilayer bodies bounded by coordinate surfaces of the circular cylindrical system of coordinates,
3) multilayer spherical bodies (MSB), or multilayer bodies bounded by coordinate surfaces of the spherical system of coordinates.
The members of the project team will find static thermoelastic stress/strain state of MRP, MCB and MSB for varying thermal and surface disturbances. Each layer will represent classical elastic medium, or elastic incompressible medium (India rubber, technical rubber).
The solution of these boundary value and boundary value contact problems will be found both for nonclassical and classical case. Nonclassical statement of the problem implies that in addition to classical boundary and contact conditions, some extra conditions on the boundary or inside the body should be also satisfied.
Now we must give a definition of TTAP, which is the desired product of our project. It should represent a large article or monograph with a full program attached. TTAP consists of several ingredients. The first ingredient is its technical part; construction of a simplified physical model of the object under consideration. The second ingredient is selection of respective thermoelasticity equations and statement of nonclassical and classic boundary and contact conditions, i.e. statement of both nonclassical and classical boundary value contact problem of thermoelasticity. The third ingredient is analytical solution of the stated problem. The fourth ingredient is a full program for stress/strain state determination of MRP, MCB and MSB, which is made on the basis of the analytical solution of the related problems.
One of the possible applications of the results of the project can be calculation of stress/strain state of a runway deck of an aircraft carrier consisting of three layers: metal – technical rubber – concrete.
The majority of problems within the project have been solved for the first time. As for the above-mentioned nonclassical thermoelasticity problems, the authors of the proposal have been the first to give both their statement and analytical solution .
After the accomplishment of the project its potential customers may become both home and international markets. The competitive edge of the final product of this project is based on the scientific novelty of its theoretical base and innovative character of the problems stated and solved within the project.
The members of the project team hope that the results obtained within the project will contribute to the growth of the scientific and technical level of design departments of related companies and plants.
In the long run development and continuation of the work planned under the project seems to be extension of the TTAP to the cases of multilayer elastic bodies, bounded by coordinate surfaces of generalized cylindrical systems of coordinates, porous bodies, dynamic problems, etc.