Abstract

Incomplete probability information makes it impossible to determine the probability distribution of a random variable accurately. Such a lack of probability information is manifested by the fact that the reliability index of engineering products can only be estimated qualitatively and approximately based on the readily available data. In this paper, the sealing reliability of the piston–cylinder bore friction pair in a hydraulic pump is designed and its sensitivity is analyzed under incomplete probability information. A reliability design model that incorporates both the motion and load effects is established. A method for designing the sealing reliability and for analyzing its sensitivity under incomplete probability information is proposed for the piston–cylinder bore friction pair, and the trends of the change in the reliability with the design parameters are determined by a simulation. The influence of the changes in the design parameters on the reliability is clarified. The reliability design problem of the piston–cylinder bore friction pair under the dual effects of motion and load is solved using the available probability information. The reliability of the piston–cylinder bore friction pair is designed and its sensitivity is analyzed using limited probability information through a computer program.

摘要

不完整的概率信息使得无法准确确定随机变量的概率分布。这种概率信息的缺乏体现在以下事实上：工程产品的可靠性指标只能基于现有数据进行定性和近似估计。本文设计了液压泵中活塞-缸孔摩擦副的密封可靠性，并在不完全概率信息下分析了其敏感性。建立了同时包含运动和载荷效应的可靠性设计模型。针对活塞-缸孔摩擦副，提出了一种在不完全概率信息下设计密封可靠性并分析其灵敏度的方法，通过仿真确定可靠性随设计参数的变化趋势。澄清了设计参数的变化对可靠性的影响。使用可用的概率信息解决了在运动和载荷双重作用下的活塞-缸孔摩擦副的可靠性设计问题。设计了活塞-缸孔摩擦副的可靠性，并通过计算机程序使用有限的概率信息来分析其灵敏度。