Parametric tolerance synthesis as multiple inverse problem of providing complex engineering system operability
Keywords:
tolerances, parametric synthesis, operability, inverse problemAbstract
The paper considers the current state of the problem of parametric tolerances synthesis for complex technical systems. Given the shortcomings of the existing methods to search the area of efficiency, using the Monte Carlo method, in particular a significant amount of computation required and the lack of information on patterns of random processes, variations of system parameters. A formalization of parametric synthesis of tolerances as the inverse ensure efficiency of complex technical systems. This task should be carried out with the use of modern approaches to the solution of inverse problems in general and the particular parametric synthesis. Requested to provide tolerances as hyper parallelepiped. To construct the field of technical efficiency of the system suggested to solve the problem of incorporating sound tolerances as hyper parallelepiped to performance using criterion value, solving vector optimization problems with constraints. The requirement for a minimum cost of manufacturing the product replaced in some sense equivalent to the requirement of maximizing all tolerances. Based recommendations on the choice of the optimization method. It is shown that the approximation to clarify the area of efficiency field tolerances effectively use irregular grids as a modification of the method of matrix test and parametric synthesis method according to the criterion of efficiency of stock. Introduced in the approach to the parametric synthesis of tolerances provides a region of system performance at lower cost and is not limited to the normal distribution changes the output parameters.
References
Nazarov, D.A. (2009). An algorithm for constructing the field performance with detailed quantization search area. Proceedings of the International Symposium "The reliability and quality", T. 2, 18-22. (in Russian)
Abramov, O.V. (1992). Parametric synthesis of stochastic systems with regard to the requirements of reliability. Moscow. Nauka, 176p. (in Russian)
Antushev, G.S. (1989). Methods of parametric synthesis of complex technical systems. Moscow, Nauka, 89p. (in Russian)
Inshakov, A.N., Inshakov, S.A. Tolerable analysis in the design of complex technical systems. Science in Education: Electronic scientific editions. E number of PS 77 - 48211. The state registration №0421200025. ISSN 1994-0408. Mode of access to the journal: http://www.technomag.edu.ru/doc/45563.html
Abramov, O.V. Katueva, Y.V., Nazarov, D.A. (2007.). Optimal parametric synthesis by the criterion of efficiency of stock. Problems of control, №. 6, 64-69 (in Russian)
Digo G.B., Digo N.B. (2009). Search for the optimal values of the internal parameters of the technical system on the criterion of efficiency of stock. Proceedings of the International Symposium "The reliability and quality", 52-54. (in Russian)
Shiloh, G.N., Kovalenko, D.A., Gaponenko, N.P. (2009). Calculation of normal tolerances given deviation coefficients of external influences. Technology and design of electronic equipment, 15-18. (in Russian)
Royzman, V., Goroshko, A. (2012). Multiple inverse problem. Journal оf Vibroengineering. Volume 14, Issue 3. ISSN 1392-8716. 1417-1424
Goroshko, A.V., Royzman V.P., Bubulis A., Juzėnas K. (2014). Methods for testing and optimizing composite ceramics-compound joints by solving inverse problems of mechanics. Journal оf Vibroengineering. Vol. 16, Issue 5, 2014, 2178-2187
Bogdanovich, Z.P., Yukhimenko, A.I. (1971). Adoption complex multicriteria decision in economic systems. Kyiv. Ukrainian Academy of Sciences. Institute of Cybernetics, 11 p. (in Russian)
Gutkin, L.S. (1972). On the synthesis of the radio on several quality indicators. Moscow. Radio technology, №9. 62-65. (in Russian)
Sobol, I.M., Statnikov, R.B. (1981). Selection of optimal parameters in problems with many criteria. Moscow. Nauka, 110 p. (in Russian)
Establishment of the optimization program for solving nonlinear mathematical programming: Report on the host. Related №615. GSU. I.N. Kalinin. Gorky, 1980. -100 p. (in Russian)
Saaty, T.L. (1977). A scaling method for priorities in hierarchical structures. Journal of mathematical psychology, V. 15, №. 3. 234-281.
Digo, G.B., Digo, N.B. (2008). Using ellipsoids to describe the field of Health. Informatics and control systems, №1 (15), 22-28. (in Russian)
Nazarov, D.A. (2010). Binary multilevel detailing elements of the grid representation of the field performance. Proceedings of the International Symposium "The reliability and quality", T. 1. 337-341. (in Russian)
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