STOCHASTIC MODEL OF OPERATION PROCESS FOR MACHINERY OF INTERMITTENT DUTY

Abstract

Stochastic character of the proper operation of several machinery prevents the variation with time of the developing mechanical characteristics from being described by a deterministic functional relationship. In this study a stochastic model of the rpm and torque process in a simple mechanical system will be described, assuming cycle periods of the operation process repetitions to be independent random variables of identical distribution function. With the knowledge of the characteristic curves of driving and braking torques, and of the cycle time distribution function, the stationary limit distribution functions of the operation process will be determined.