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Modeling and dynamics analysis of helical spring under compression using a curved beam element with consideration on contact between its coils

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Abstract

Helical springs are indispensable elements in mechanical engineering. This paper investigates helical springs subjected to axial loads under different dynamic conditions. The mechanical system, composed of a helical spring and two blocks, is considered and analyzed. Multibody system dynamics theory is applied to model the system, where the spring is modeled by Euler–Bernoulli curved beam elements based on an absolute nodal coordinate formulation. Compared with previous studies, contact between the coils of spring is considered here. A three-dimensional beam-to-beam contact model is presented to describe the interaction between the spring coils. Numerical analysis provides details such as spring stiffness, static and dynamic stress for helical spring under compression. All these results are available in design of helical springs.

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Acknowledgements

Grant support from the China Postdoctoral Science Foundation (2013M542290) for this work is highly appreciated. This work was also supported by the Key Research Fund of Xihua University (Z1020212) and by the Research Fund of Key Laboratory of Manufacturing and Automation of Sichuan Province (SZjj2011-016). The authors would also like to thank anonymous editors and reviewers for their constructive and detailed comments on improving this paper.

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Authors and Affiliations

  1. Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu, 610031, China

    C. J. Yang & W. H. Zhang

  2. Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing, 100084, China

    C. J. Yang & G. X. Ren

  3. Department of Mechanical Engineering & Automation, Xihua University, Chengdu, 610039, China

    X. Y. Liu

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  1. C. J. Yang
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  2. W. H. Zhang
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Correspondence to C. J. Yang.

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Yang, C.J., Zhang, W.H., Ren, G.X. et al. Modeling and dynamics analysis of helical spring under compression using a curved beam element with consideration on contact between its coils. Meccanica 49, 907–917 (2014). https://doi.org/10.1007/s11012-013-9837-1

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