Evaluation of stress-strain state of stiffened cylindrical and conical elements
DOI:
https://doi.org/10.15587/2313-8416.2016.72566Keywords:
theory of elasticity, strain, R-functions, modeling, simulation experiment, structural models, errorsAbstract
The problems associated with evaluation of stress-strain state of stiffened finite cylindrical and conical bodies are considered. The analytical solutions based on the application of R-function theory, computer models and simulation experiment for determining the stress-strain state of the bodies, stiffened by one, two and three ribs are given.
The analysis of the strain dependence on the amount of ribs on the elements and influence of geometric elements and physical parameters on the operation modes for each structural element are analyzed
References
Timoshenko, S. P. (1972). Kurs teorii uprugosti. Kiev: Nauk. dumka, 502.
Parton, V. Z., Perlin, P. I. (1981). Metody matematicheskoj teorii uprugosti. Moscow: Nauka, 688.
Zenkevich, O. (1975). Metod konechnyh jelementov v tehnike. Moscow: Mir, 349.
Saharov, A. S., Al'tenbah, I. (Eds.) (1982). Metod konechnyh jelementov v mehanike tverdyh tel. Kiev: Vishha shkola; Lejpcig: Feb Fahbuhferlag, 420.
Molchanov, I. N., Nikolenko, L. D. (1989). Osnovy metoda konechnyh jelementov. Kiev: Naukova Dumka, 272.
Bogojavlenskij, K. N., Sorokov, E. I. (1975). Shtampovka polyh detalej jelastichnoj zhidkost'ju. Izgotovlenie detalej plasticheskim deformirovaniem. Leningrad: Mashinostroenie, 332–354.
Rvachev, V. L. (1982). Teorija R-funkcij i nekotorye ee prilozhenija. Kiev: Nauk. dumka, 552.
Kravchenko, V. F., Rvachev, V. L. (2006). Algebra logiki, atomarnye funkcii i vejvlety. Moscow: Fizmatlit, 416.
Rvachev, V. L., Shevchenko, A. N. (1988). Programmno-orientirovannye jazyki i sistemy dlja inzhenernyh raschetov. Kiev: Tehnika, 197.
Ulitko, A. F. (1979). Metod sobstvennyh vektornyh funkcij v prostranstvennyh zadachah teorii uprugosti. Kiev: Nauk. dumka, 294.
Sizova, N. D. (1986). Aposteriornye ocenki pogreshnosti variacionno-strukturnyh reshenij kraevyh zadach. Mat. metody analiza dinamicheskih system, 8, 38–42.
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