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Dynamic modeling and experimental verification of clamp–pipeline system with soft nonlinearity

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Abstract

The metal rubber clamp, serving as a crucial supporting component, often generates non-linear forces and brings complex dynamics to the pipeline system. However, the nonlinearity of metal rubber clamp in pipeline system has been rarely incorporated in open research. Therefore, a novel nonlinear clamp model with four degrees of freedom is proposed based on the genetic algorithm and the finite element method. The nonlinear parameters are identified by the genetic algorithm, where the objective function is defined as the error between experiment and simulation. The proposed nonlinear clamp–pipeline model is verified through modal tests and vibration response experiments conducted under various boundary conditions. Furthermore, the pipeline response tests of different clamp types are conducted to evaluate the supporting performance. The results show that when the excitation amplitude increases from 0.5 g to 3 g, the resonance frequency offsets of the three clamp types are different from each other. The frequency offset of the metal rubber clamp is 8.2 Hz, the copper clamp has a frequency offset of 5.5 Hz, and the clamp without metal rubber exhibits a frequency offset of 5 Hz. The soft nonlinearity of the metal rubber clamp is most obvious, followed by the copper clamp. The clamp without metal rubber exhibits the weakest level of soft nonlinearity. The numerical results are basically consistent with the experimental data. The proposed model effectively simulates the nonlinear effects of the pipeline system under different clamps, enabling more accurate prediction of vibration responses.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author upon reasonable request.

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Acknowledgements

This project is supported by the National Natural Science Foundation (Grant No. 11972112), the Fundamental Research Funds for the Central Universities (Grant Nos. N2103024), the National Science and Technology Major Project (Grant No. J2019-I-0008-0008).

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, Liaoning, People’s Republic of China

    Yiming Cao, Weijiao Chen, Hui Ma, Hui Li & Qingkai Han

  2. Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education, Northeastern University, Shenyang, 110819, Liaoning, People’s Republic of China

    Hui Ma

  3. Dalian Mengyu Machinery Co. LTD, Dalian, 116317, Liaoning, People’s Republic of China

    Bing Wang

  4. AVIC Shenyang Engine Design Institute, Shenyang, 110013, Liaoning, People’s Republic of China

    Li Tan & Xin Wang

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  1. Yiming Cao
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Correspondence to Hui Ma.

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Cao, Y., Chen, W., Ma, H. et al. Dynamic modeling and experimental verification of clamp–pipeline system with soft nonlinearity. Nonlinear Dyn 111, 17725–17748 (2023). https://doi.org/10.1007/s11071-023-08814-y

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