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Condition and statistical property of exponentially distributed product life and constant failure rate
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Liyang XIE1, Chao JIANG2
Journal of Mechanical Strength | 2025, 47(9) : 50 - 53
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Journal of Mechanical Strength | 2025, 47(9): 50-53
Condition and statistical property of exponentially distributed product life and constant failure rate
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Liyang XIE1, Chao JIANG2
Affiliations
  • 1.School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
  • 2.China North Engine Research Institute, Tianjin 300400, China
Published: 2025-09-15 doi: 10.16579/j.issn.1001.9669.2025.09.003
Outline
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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.

Life distribution  /  Failure rate  /  Exponential distribution  /  Component failure dependence  /  System reliability
Liyang XIE, Chao JIANG. Condition and statistical property of exponentially distributed product life and constant failure rate[J]. Journal of Mechanical Strength, 2025 , 47 (9) : 50 -53 . DOI: 10.16579/j.issn.1001.9669.2025.09.003
  • National Science and Technology Major Project(J2019-IV-0002-0069)
Year 2025 volume 47 Issue 9
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Article Info
doi: 10.16579/j.issn.1001.9669.2025.09.003
  • Receive Date:2025-06-15
  • Online Date:2026-03-20
  • Published:2025-09-15
Article Data
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History
  • Received:2025-06-15
Funding
National Science and Technology Major Project(J2019-IV-0002-0069)
Affiliations
    1.School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
    2.China North Engine Research Institute, Tianjin 300400, China

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XIE Liyang, E-mail:
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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