Linear Mathematical Theory of Accelerated Life Testing

Abstract

Problems of accelerated life testing are formulated and the basic definitions are given. The notion of the so-called acceleration function is introduced. Using this notion, we define the integral time distribution function of no-failure operation of a piece of equipment. The linearity criterion is formulated for the acceleration function. Using the obtained relation, which is a generalization of the Palmgren–Miner rule, we work out the accelerated testing method for determining the reliability with the load increasing continuously or stepwise.