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Date submitted2021-03-31
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Date accepted2021-09-29
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Date published2021-10-21
Methodology of modeling nonlinear geomechanical processes in blocky and layered rock masses on models made of equivalent materials
- Authors:
- Boris Yu. Zuev
The research purpose is to develop a methodology that increases the reliability of reproduction and research on models made of equivalent materials of complex nonlinear processes of deformation and destruction of structured rock masses under the influence of underground mining operations to provide a more accurate prediction of the occurrence of dangerous phenomena and assessment of their consequences. New approaches to similarity criterion based on the fundamental laws of thermodynamics; new types of equivalent materials that meet these criteria; systems for the formation of various initial and boundary conditions regulated by specially developed computer programs; new technical means for more reliable determination of stresses in models; new methods for solving inverse geomechanical problems in the absence of the necessary initial field data have been developed. Using the developed methodology, a number of complex nonlinear problems have been solved related to estimates of the oscillatory nature of changes in the bearing pressure during dynamic roof collapse processes; ranges of changes in the frequency of processes during deformation and destruction of rock mass elements, ranges of changes in their accelerations; parameters of shifts with a violation of the continuity of the rock mass under the influence of mining: secant cracks, delaminations, gaping voids, accounting for which is necessary to assess the danger of the formation of continuous water supply canals in the water-protection layer.
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Date submitted2014-10-02
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Date accepted2014-12-08
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Date published2015-08-25
Assessment of complicated systems quality on the basis of stochastic similarity methods
- Authors:
- D. A. Pervukhin
- A. A. Klavdiev
Modern development of technology is characterized by sharp complication of the tasks solved at production of products, high requirements to their reliability, short deadlines of creation and introduction in operation, aspiration to reduce costs of development of a product at satisfaction of the set conditions. The existing methods of an assessment and quality control of a product by results of tests are often inefficient in the conditions of the determined experiment or the diverse volume-limited statistical information on results of physical modeling, prototyping and tests of a small number of samples available. One of the solutions of the problem of ensuring quality and reliability at a design stage and production of products is an application of the theory of similarity and modeling. In the article the direction of development of the stochastic similarity theory for the effective solution of problems of an assessment and quality control of complicated systems in the course of their creation and operation is offered. The main theorems of similarity are formulated, the criterion of stochastic similarity in the form of the relation of functions of distribution of parameters (characteristics) of systems is theoretically reasonable and experimentally confirmed. Examples of the solution of applied tasks are given. Further development of the theory of stochastic similarity will allow us to advance in the research of non-limiting distributions which are a little described in classical probability theory and mathematical statistics, especially in that their part which will give the chance to manipulate selections of a small volume and censored selections obtaining maximum information from them.