Reliability Modeling and Calculation of Balanced Systems with Multiple Failures
The reliability theory originated in the 1930s,and the reliability problem was emphasized before and after the Second World War.With the development of society,the performance of military equipment has been greatly enhanced,but the increase in complexity has also increased the failure rate.Driven by actual demand,since the 1950s,the application of reliability has gradually expanded from the field of military technology to many fields such as national economy and people's livelihood.In the fields of new energy storage,aerospace,machin-ery manufacturing,etc.,balance characteristics are the basic requirements for the normal operation of many key systems,and based on the system perspective,such systems are usually called balanced systems.If they have performance imbalance or failure,it will accelerate system degradation or directly lead to system damage,resul-ting in serious consequences.The study of system reliability can effectively prevent or reduce the occurrence of system failures and accidents.Reliability modeling and related index calculation of equilibrium system is one of the research hot spots in reliability theory and engineering field.For the series balance system composed of multiple components,it is assumed that each component gradually degrades under the environmental impact and presents multiple states.The performance balance of the system depends on the state of the components and their arrangement position,that is,when the parts of the system whose degradation degree exceeds a certain threshold are distributed in a certain area,the system will lose the performance balance.Considering single component failure leading to system failure and three types of system performance imbalance leading to system failure and four types of failure behaviors,when the number of continu-ous components with sparse dl that are greater than or equal to a certain state threshold is greater than or equal to bl,the system will lose performance balance.When the number of continuous components that are greater than or equal to a certain status threshold is greater than or equal to b,,the system will lose performance balance.When the cumulative number of components greater than or equal to a certain state threshold is greater than or equal to bw,the system will lose performance balance,so a balanced system reliability model considering multiple failure behaviors is constructed.Through the two-step finite Markov chain embedding method,the survival probability of the component in any state is obtained first,and then the reliability of the performance balance system is obtained according to the survival probability analytic formula of the single component.Hydraulic support is an important part of fully mechanized coal mining equipment,widely used in coal seam mining face roof support,and the running state of hydraulic support is an important indicator of the safety of the whole face operation.After the impact of the hydraulic support system,because each component is damaged to different degrees,according to the different placement of the damaged parts,the system is at different levels of operation.If one of the brackets fails,the entire system will fail.Therefore,it is very important to study the reliability of the engineering equipment.The research object of this paper is the system composed of multi-state components,which is composed of multiple components.If the arrangement position of the components exceeding the threshold value is concentrated on a certain range or the failure of a single component leads to the failure of the system,the reliability model will be constructed and the reliability of the system solved.The research shows that the greater the value in an impact environment,the stronger the bearing capacity of the components,and the higher the reliability of the system.The effectiveness of the proposed model and method is verified.
balanced systemshock environmentfinite Markov chain embedding methodreliabilityvariety of statesfailure of competition
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