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A successive approximation method for thermo-elasto-plastic analysis of a reinforced functionally graded rotating disc

100%

Kholdi M. , Saeedi S. , Moradi S. A. Z. , Loghman A. , Arefi M.

tom Vol. 22, no. 1

art. no e2, 2022

Thermo-elasto-plastic analysis of a rotating disc made of Functionally Graded Materials (FGMs) is studied in this paper using Successive Approximation Method (SAM). The plane stress condition is assumed for formulation of the problem. After computation of effective material properties based on modified mixture rule, the governing equations are derived analytically and then is solved using the Differential Quadratic Method (DQM). After obtaining the displacements and stresses, the yield conditions are calculated by von-Mises failure criteria. The rotating disc is made of an Aluminum–Silicon Carbide functionally graded material. The plastic behavior of Aluminum is considered as strain hardening one. The effects of angular speed, percentage of ceramic particles, particle reinforcement power, and boundary conditions such as temperature gradient on the radial and tangential thermo-elasto-plastic strains, stresses, and equivalent stresses is investigated. The results show that the radial stresses through the disc are significantly less than tangential stresses, therefor the tangential stresses has a significant effect on the equivalent stress and yield conditions.

Investigation of G-networks with restart at a non-stationary mode and their application

70%

Matalytski M. , Naumenko V. , Kopats D.

tom Vol. 18, nr 2

41--51

This article discusses the question of restarting the script, when restart is used by many users of the information network, which can be modelled as a G-network. Negative claims simulate the crash of the script and the re-sending of the request. Investigation of an open queuing network (QN) with several types of positive customers with the phase type of distribution of their service time and one type of negative customers have been carried out. Negative customers are signals whose effect is to restart one customers in a queue. A technique is proposed for finding the probability of states. It is based on the use of a modified method of successive approximations, combined with the method of a series. The successive approximations converge with time to a stationary distribution of state probabilities, the form of which is indicated in the article, and the sequence of approximations converges to the solution of the difference-differential equations (DDE) system. The uniqueness of this solution is proved. Any successive approximation is representable in the form of a convergent power series with an infinite radius of convergence, the coefficients of which satisfy recurrence relations, which is convenient for computer calculations. A model example illustrating the finding of time-dependent probabilities of network states using the proposed technique is also presented.