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Reliability and sensitivity analysis of an axially moving beam

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Abstract

The reliability and sensitivity analysis of an axially moving beam with simply supported boundary conditions are carried out. The equation of motion of the axially moving beam is established by applying the assumed mode method and Hamilton’s principle. The critical divergence moving velocity is obtained from analyzing the stability of the kinetic equation of the beam. The uncertainties of the moving velocity, and the structural and material parameters of the beam are taken into account. The probability distribution function of the state function indicating the stability of the beam is approximated by the Edgeworth series, from which the reliability and sensitivity of the beam are obtained. The effects of the mean values and standard variances of the moving velocity, and the structural and the material parameters of the beam on the reliability and sensitivity are conducted. From the results, it can be seen that the reliability decreases with the moving velocity increasing. The reliability of the system decreases with increasing length, and increases with increasing thickness of the beam. The reliability is more sensitive to the thickness than to the length of the beam. The reliability of the beam decreases with increasing mass density, and increases with increasing elastic modulus, showing that the beam with higher specific rigidity and less weight exhibits more stable.

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Acknowledgments

This research is supported by the National Natural Science Foundation of China (51135003, U1234208), the National Basic Research Program of China (2014CB046303) and the Key National Science and Technology Special Project of China (2013ZX04011011).

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Guo Yao & Yimin Zhang

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  1. Guo Yao
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  2. Yimin Zhang
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Correspondence to Yimin Zhang.

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Yao, G., Zhang, Y. Reliability and sensitivity analysis of an axially moving beam. Meccanica 51, 491–499 (2016). https://doi.org/10.1007/s11012-015-0232-y

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  • DOI: https://doi.org/10.1007/s11012-015-0232-y

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