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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-701de4ca-c199-4eab-9c60-3d6a16618cd6

Czasopismo

ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes

Tytuł artykułu

Construction of integral equations describing limit equilibrium of cylindrical shell with a longitudinal crack under time-varying load

Autorzy Makhorkin, M.  Nykolyshyn, M 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
Abstrakty
EN The problem on limit equilibrium of a closed infinite cylindrical shell with a longitudinal crack under the action of time-varying load by the exponential law has been considered. According to presented conditions the expressions for the field of the stress-free deformations along the crack are presented in the form [wzory] are the operators identical to those given in [7] for the case of static load [wzory] and , are the operators that take into account the dependence of load on time. Using the same transformations that in the case of static load [7, 11], the key functions [wzory] are determined, and the clarification of the shell's stress-state is reduced to solving the system of singular integral equations (SIE). Its general form is similar to the same system constructed for static load [7], and the kernels of SIE have the form [wzory], where is a singular part [wzory], is a regular part in which the component [wzory] takes into account the time dependence of load [wzory], are described by the expressions similar to the same given in [7].
Słowa kluczowe
EN cylindrical shell   crack   exponential time dependence   varying load   system of singular integral equations  
Wydawca Polish Academy of Sciences, Branch in Lublin
Czasopismo ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Rocznik 2016
Tom Vol. 5, No 3
Strony 141--146
Opis fizyczny Bibliogr. 20 poz., wz.
Twórcy
autor Makhorkin, M.
  • Lviv National Agrarian University, mahorkin@ukr.net
  • Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine
autor Nykolyshyn, M
  • Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine
Bibliografia
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11. Osadchuk, V.A. (1985). Stress-Strain State and Limit Equilibrium of Shellwith Cuts. Naukova dumka, Kiev, 224 (in Russian).
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17. Roytman А., Titova О. 2002. Analitical approach to determining dynamic characteristics of a cylinder shell with closing cracks. Journal of Sound and Vibration. 254(2), 379-386.
18. Savruk M. P. 2003. New method for the solution of dynamic problems of the theory of elasticity and fracture mechanics. Mat. Sc., 39, No. 4, 465–471.
19. Titova O.A., Lanko V.P. 2012. Analysis of the elastic vibrations of cylindrical shells with longidutional cracks. Collection of scientific works "Visnyk of Zaporizhzhya National University. Physical and mathematical Sciences". №1, 161-166. (in Ukrainian).
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Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
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