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Concurrent numerical implementation of vibration correlation technique for fast buckling load prediction of cylindrical shells under combined loading conditions

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Abstract

As a non-destructive buckling experimental technique, the vibration correlation technique (VCT) is extensively applied in buckling load prediction of columns, plates and shells under axial compression load. Following the experimental steps of VCT, the VCT can be numerically implemented and used as a numerical prediction method for buckling load. The effectiveness and efficiency of the numerical-based VCT in buckling load prediction of cylindrical shells under combined loading conditions are studied. Firstly, VCT formulas are presented for cylindrical shells under combined loading conditions. Then, a concurrent computing framework is established for the numerical implementation of VCT, which is able to improve the repeated eigenvalue analysis efficiency in VCT. Three illustrative examples are carried out to verify the effectiveness of the concurrent VCT, including the cylindrical shell under external pressure and axial compression, the cylindrical shell under internal pressure and axial compression, and the cylindrical shell under torque and axial compression. Compared with results of buckling tests, explicit dynamic method and Riks method, the proposed concurrent VCT is verified to have high computational efficiency and prediction accuracy. In conclusion, the concurrent VCT is verified to be an efficient and promising numerical method for buckling analysis of cylindrical shells under combined loading conditions.

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Acknowledgements

This paper is supported by the National Natural Science Foundation of China [Nos.11902065, 11825202 and 11772078] and The Fundamental Research Funds for the Central Universities [Nos. DUT21RC(3)013 and DUT20ZD104].

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Correspondence to Bo Wang.

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Tian, K., Huang, L., Yang, M. et al. Concurrent numerical implementation of vibration correlation technique for fast buckling load prediction of cylindrical shells under combined loading conditions. Engineering with Computers 38 (Suppl 4), 3269–3281 (2022). https://doi.org/10.1007/s00366-021-01458-9

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