Stochastic models for ensuring parametric reliability of the construction machines

Authors

DOI:

https://doi.org/10.32347/2410-2547.2021.106.262-273

Keywords:

reliability, simulation modeling, construction machines, forecasting, hydraulic drive, distribution function, density, statistical research

Abstract

The solution of technical problems to ensure the working capacity is largely determined by the effectiveness of theoretical and applied developments in an area of estimation and prediction of their reliability indicators. An effective approach to the analysis of failures and the development of operability and parametric reliability models provides an opportunity to obtain more adequate models of reliability of hydraulic drives of machines, as they more fully take into account the specifics of the structure and functioning of the hydro drive elements of construction machines, their relationships and features of the formation of parameters failures. And this will allow to get more real and accurate results of estimation of reliability indicators of hydraulic drives of both construction and other hydraulic machines. They do not exhaust all possible variants of models that can take place when analyzing the reliability of hydraulic drives of machines, but at the same time they to a certain extent extend and refine the set of known reliability models.

Specific in terms of formation of parametrical failures are such consistently connected in terms of the layout of hydraulic elements, as working sections of hydraulic distributors and hydraulic cylinders, which are part of the subsystems of GPs and form the so-called functional areas (FA). Reaching the FA limit is a compatible result of the combined random process of evolution of the volumetric efficiency JCUA  these elements, and the technical condition of the FA is estimated to be generalized by the JCUA, which equals the product of the JCUA of consecutively connected elements: .

In this case, the probability of maintaining the capacity of the FA will be: .

The processing of diagnostic information and the study of the reliability of GPs in real conditions of their operation showed that the distribution of JCUD hydraulic elements with a sufficient degree of consistency can be described under several theoretical laws. It is considered when the JCUA sections of the hydraulic distributor and hydraulic cylinder are distributed by gamma distribution and exponential distribution.

The use of the general methodological approach to the analysis of failures and the construction of models of operability and parametric reliability provides an opportunity to obtain more adequate models of reliability of hydraulic drives of machines, as they more fully take into account the specifics of the structure and functioning of the hydraulic drive elements, They don't exhaust all possible models that can take place when analyzing the reliability of hydraulic drives, but at the same time they are to some extent expanding and refining the range of already known models of reliability.

Author Biographies

Galyna Getun, Kyiv National University of Construction and Architecture

Candidate of Technical Sciences, Professor of the Department of Architectural Constructions

Vitalii Les'ko, Kyiv National University of Construction and Architecture

Associate Professor of Machinery and Equipment of Technological Processes

Iryna Bezklubenko, Kyiv National University of Construction and Architecture

Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Information Technology Design and Applied Mathematics

Olena Balina, Kyiv National University of Construction and Architecture

Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Information Technologies, Design and Applied Mathematics

Yurii Butsenko, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Candidate of Physical and Mathematical Science, Associate Professor of the Department of Mathematical Analysis and Probability Theory

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Published

2021-05-24

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