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Reliability analysis of random vibration transmission path systems. (English) Zbl 1406.90030

Math. Probl. Eng. 2017, Article ID 6814547, 6 p. (2017); expression of concern ibid. 2019, Article ID 1803123, 1 p. (2019).
Summary: The vibration transmission path systems are generally composed of the vibration source, the vibration transfer path, and the vibration receiving structure. The transfer path is the medium of the vibration transmission. Moreover, the randomness of transfer path influences the transfer reliability greatly. In this paper, based on the matrix calculus, the generalized second moment technique, and the stochastic finite element theory, the effective approach for the transfer reliability of vibration transfer path systems was provided. The transfer reliability of vibration transfer path system with uncertain path parameters including path mass and path stiffness was analyzed theoretically and computed numerically, and the correlated mathematical expressions were derived. Thus, it provides the theoretical foundation for the dynamic design of vibration systems in practical project, so that most random path parameters can be considered to solve the random problems for vibration transfer path systems, which can avoid the system resonance failure.

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research
74P10 Optimization of other properties in solid mechanics
62P30 Applications of statistics in engineering and industry; control charts
62N05 Reliability and life testing
74H50 Random vibrations in dynamical problems in solid mechanics
Full Text: DOI

References:

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