Condition and statistical property of exponentially distributed product life and constant failure rate

XIE Liyang; JIANG Chao

doi:DOI：10.16579/j.issn.1001.9669.2025.09.003

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Condition and statistical property of exponentially distributed product life and constant failure rate

更新时间：2025-09-22

- Condition and statistical property of exponentially distributed product life and constant failure rate
- Journal of Mechanical Strength Vol. 47, Issue 9, Pages: 50-53(2025)
- 作者机构：
  
  1.东北大学机械工程与自动化学院，沈阳 110819
  2.中国北方发动机研究所，天津 300400
- 作者简介：
  
  XIE Liyang, E-mail: lyxie@neu.edu.cn
- 基金信息：
  
  National Science and Technology Major Project(J2019-IV-0002-0069)
- DOI：DOI：10.16579/j.issn.1001.9669.2025.09.003
  CLC：
- Received：15 June 2025，
  
  Published：15 September 2025
- 稿件说明：
移动端阅览
谢里阳，江超. 产品寿命服从指数分布/失效率为常数的条件与统计特性［J］. 机械强度，2025，47（9）：50-53.

XIE Liyang，JIANG Chao. Condition and statistical property of exponentially distributed product life and constant failure rate［J］. Journal of Mechanical Strength，2025，47（9）：50-53.
谢里阳，江超. 产品寿命服从指数分布/失效率为常数的条件与统计特性［J］. 机械强度，2025，47（9）：50-53. DOI： DOI：10.16579/j.issn.1001.9669.2025.09.003.

XIE Liyang，JIANG Chao. Condition and statistical property of exponentially distributed product life and constant failure rate［J］. Journal of Mechanical Strength，2025，47（9）：50-53. DOI： DOI：10.16579/j.issn.1001.9669.2025.09.003.

摘要

可靠性工程中，时常采用指数分布来描述产品（零部件或设备）寿命；相应的，产品的失效率为常数（不随产品服役时间变化）。然而，只有某些具有特定性能的产品或在特定的载荷环境中寿命才会服从指数分布，失效率才会是常数。在零部件寿命不服从指数分布的情况下，假设寿命服从指数分布会导致可靠性及失效率分析结果严重偏离真实情况；在零部件寿命服从指数分布的场合，随意假设零部件独立失效，会错误地估计设备（由零部件构成的系统）的可靠性。从产品性能和服役载荷环境两个方面分析、推断产品失效率的属性（是否随产品服役时间变化），进而揭示产品寿命服从指数分布的条件，阐释在零部件寿命服从指数分布的条件下，系统中零部件失效的独立性/相关性问题。

Abstract

Exponential distribution is widely applied to describe product life in reliability engineering. Correspondingly

product failure rate is a constant (not changing with the service time of the product). Nevertheless

only the products with special property or under particular load condition have exponentially distributed life and constant failure rate. Unrealistic hypothesis of exponentially distributed life will lead to serious error in reliability and failure rate analysis results. In the situations that component life follows exponential distribution

to assume component failures being independent of each other will mislead system reliability evaluation. The the property of product failure rate was analyzed and inferred from the aspects of product strength performance and load environment.The conditions for product failure rate to follow exponential distribution were revealed

and product failure dependency issues in condition of life following exponential distribution were explained.

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references

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