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Dynamic analysis and reliability assessment of structures with uncertain-but-bounded parameters under stochastic process excitations

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  • Do, Duy Minh
  • Gao, Wei
  • Song, Chongmin
  • Tangaramvong, Sawekchai

Abstract

This paper presents the non-deterministic dynamic analysis and reliability assessment of structures with uncertain-but-bounded parameters under stochastic process excitations. Random ground acceleration from earthquake motion is adopted to illustrate the stochastic process force. The exact change ranges of natural frequencies, random vibration displacement and stress responses of structures are investigated under the interval analysis framework. Formulations for structural reliability are developed considering the safe boundary and structural random vibration responses as interval parameters. An improved particle swarm optimization algorithm, namely randomised lower sequence initialized high-order nonlinear particle swarm optimization algorithm, is employed to capture the better bounds of structural dynamic characteristics, random vibration responses and reliability. Three numerical examples are used to demonstrate the presented method for interval random vibration analysis and reliability assessment of structures. The accuracy of the results obtained by the presented method is verified by the randomised Quasi-Monte Carlo simulation method (QMCSM) and direct Monte Carlo simulation method (MCSM).

Suggested Citation

  • Do, Duy Minh & Gao, Wei & Song, Chongmin & Tangaramvong, Sawekchai, 2014. "Dynamic analysis and reliability assessment of structures with uncertain-but-bounded parameters under stochastic process excitations," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 46-59.
    • Handle: RePEc:eee:reensy:v:132:y:2014:i:c:p:46-59
    DOI: 10.1016/j.ress.2014.07.002
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    References listed on IDEAS

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    1. John J. Coleman, 1959. "Reliability of Aircraft Structures in Resisting Chance Failure," Operations Research, INFORMS, vol. 7(5), pages 639-645, October.
    2. Zio, E., 2009. "Reliability engineering: Old problems and new challenges," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 125-141.
    3. J W Chinneck & K Ramadan, 2000. "Linear programming with interval coefficients," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(2), pages 209-220, February.
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    Cited by:

    1. Liu, Jie & Hu, Yifeng & Xu, Can & Jiang, Chao & Han, Xu, 2016. "Probability assessments of identified parameters for stochastic structures using point estimation method," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 51-58.
    2. Pang, Rui & Zai, Dezhi & Xu, Bin & Liu, Jun & Zhao, Chunfeng & Fan, Qunying & Chen, Yuting, 2023. "Stochastic dynamic and reliability analysis of AP1000 nuclear power plants via DPIM subjected to mainshock-aftershock sequences," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    3. Van Huynh, Thu & Tangaramvong, Sawekchai & Do, Bach & Gao, Wei & Limkatanyu, Suchart, 2023. "Sequential most probable point update combining Gaussian process and comprehensive learning PSO for structural reliability-based design optimization," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    4. Lu, Yaohui & Zheng, Heyan & Zeng, Jing & Chen, Tianli & Wu, Pingbo, 2019. "Fatigue life reliability evaluation in a high-speed train bogie frame using accelerated life and numerical test," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 221-232.

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