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Fluid–structure coupling modelling and parameter optimization of a direct-acting relief valve for underwater application

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Abstract

Direct-acting relief valve is widely applied in pumps for control of pump pressure; when it is applied by underwater equipment, its dynamic stability is challenged by the varied hydraulic pressure due to the variation of its underwater penetration; specifically, sudden jumps of pump pressure can be triggered, which brings harmful influence on the normal working condition of underwater equipment. In order to fully understand this phenomenon, a two-degree-of-freedom fluid–structure coupling model is developed by considering both the axial and longitudinal vibro-impacts between the valve element and the valve seat, whose external excitation comes from the flowing fuel which has been accelerated to a high speed in the narrow channel of relief valve. Based on the developed mathematical model, the predicted errors about the water depth for appearance of the sudden jump of pressure are verified within 5% when compared with the corresponding experimental results. Moreover, the axial vibro-impact oscillation of the valve element is demonstrated as the origin of such drastic fluctuation of pump pressure. In order to further control the sudden jumps of pressure, parameter optimization with reliability analysis is carried out via an optimization closed loop which consists of design of experiment algorithm, Monte Carlo algorithm and six sigma algorithm. Based on the optimized combination of parameters, the pressure stability of the direct-acting relief valve is secured within its working water depth as [0 m, 300 m], and the differential pressure at the valve port remains a linear variation without sudden jump, and the maximal change of the differential pressure is around 3.6 MPa, which is determined by the variation of water depth.

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Data availability

The datasets generated and analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This paper is supported by National Natural Science Foundation of China (No. 51904018), Natural Science Foundation of Beijing Municipality (No. 3204049) and Interdisciplinary Research Project for Young Teachers of USTB (Fundamental Research Funds for the Central Universities) (No. FRF-IDRY-19-006).

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Authors and Affiliations

  1. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Maolin Liao, Yang Zheng & Zhiying Gao

  2. China Shipbuilding Industry Corporation 705 Research Institute, Xi’an, 710075, China

    Wen Song

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  1. Maolin Liao
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Correspondence to Maolin Liao.

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Liao, M., Zheng, Y., Gao, Z. et al. Fluid–structure coupling modelling and parameter optimization of a direct-acting relief valve for underwater application. Nonlinear Dyn 105, 2935–2958 (2021). https://doi.org/10.1007/s11071-021-06740-5

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