ON DEFINITION OF BEAMS INHOMOGENEOUS RHEOLOGICAL PROPERTIES
Abstract
The problem solution of the definition of the beams inhomogeneous rheological properties on the basis of the acoustic method and the analysis of amplitude-frequency dependences is presented. The operator equations linking required and prescribed functions are presented. The iterative process is constructed, computational experiments results of the definition of the beams inhomogeneous rheological properties for various laws of distribution of required features are presented.
About the Authors
Tatyana A. ANIKINA
Don State Technical University
Russian Federation
Russian Federation
Ivan V. BOGACHEV
South Federal University
Russian Federation
Russian Federation
Alexander O. VATULYAN
South Federal University
Russian Federation
Russian Federation
References
1. Kristensen R. Vvedenie v mehaniku kompozitov R. Kristensen. – M.: Mir, 1974. – 338 s. – In Russian.
2. Jarkan M. Uprugie konstanty trehmernogo tela transversal'no-armirovannogo sloistogo kompozicionnogo materiala / M. Jarkan // Vopr. proektirovaniya i pr-va konstrukcii letat. apparatov: sb. nauch. tr. Nac. aerokosm. un-ta im. N.E. Jukovskogo «HAI». – 2009. – Vyp.2(58), T.H. – S.16-24. – In Russian.
3. Bardzokaz D.I. Matematicheskoe modelirovanie fizicheskih processov v kompozicionnyh materialah periodicheskoi struktury / D.I. Bardzokaz, A.I. Zlobin. – M.: Editorial URSS, 2003. – 376 s. – In Russian.
4. Vatul'yan A.O. Obratnye zadachi v mehanike deformiruemogo tverdogo tela / A.O. Vatul'yan. – M.: Fizmatlit, 2007. – 223 s. – In Russian.
5. Filippov A.P. Kolebaniya deformiruemyh sistem / A.P. Filippov. – M.: Mashinostroenie, 1970. – 736 s. – In Russian.
6. Anikina T.A. Akusticheskie metody kontrolya regeneracii kostnoi tkani / T.A. Anikina, A.O. Vatul'yan // Ekol. vestn. nauch. centrov ChES. – 2007. – №3. – S.10-17. – In Russian.
7. Bahvalov N.S. Chislennye metody / N.S. Bahvalov. – M.: Laboratoriya bazovyh znanii, 2002. – 632 s. – In Russian.
8. Vatul'yan A.O. Integral'nye uravneniya v obratnyh zadachah opredeleniya koefficientov differencial'nyh operatorov teorii uprugosti / A.O. Vatul'yan //Dokl. Ros. akad. nauk. – 2005. – T.405(3). – S.343-345. – In Russian.
9. Mihlin S.G. Variacionnye metody v matematicheskoi fizike / S.G. Mihlin. – M.: Izd-vo Mosk. un-ta, 1970. – 512 s. – In Russian.
10. Tihonov A.N. Metody resheniya nekorrektnyh zadach / A.N. Tihonov, V.Ya. Arsenin. – M.: Nauka, 1979. – 288 s. – In Russian.
11. Baranov I.V. Ob odnom geneticheskom algoritme i ego primenenii v obratnyh zadachah identifikacii uprugih sred / I.V. Baranov, A.O. Vatul'yan, A.N. Solov'ev // Vychisl. tehnologii. – 2006. – №3. – S.14-26. – In Russian.
12. Anikina T.A. Ob identifikacii harakteristik kostnoi tkani na osnove akusticheskih metodov / T.A. Anikina, I.V. Bogachev, A.O. Vatul'yan // X vseros. konf. po biomehanike «Biomehanika – 2010». – Saratov, 2010. – S.24-25. – In Russian.
Review
For citations:
ANIKINA T., BOGACHEV I., VATULYAN A. ON DEFINITION OF BEAMS INHOMOGENEOUS RHEOLOGICAL PROPERTIES. Vestnik of Don State Technical University. 2010;10(7):1016-1023. (In Russ.)
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