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In-plane forced vibration of curved pipe conveying fluid by Green function method

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Abstract

The Green function method (GFM) is utilized to analyze the in-plane forced vibration of curved pipe conveying fluid, where the randomicity and distribution of the external excitation and the added mass and damping ratio are considered. The Laplace transform is used, and the Green functions with various boundary conditions are obtained subsequently. Numerical calculations are performed to validate the present solutions, and the effects of some key parameters on both tangential and radial displacements are further investigated. The forced vibration problems with linear and nonlinear motion constraints are also discussed briefly. The method can be radiated to study other forms of forced vibration problems related with pipes or more extensive issues.

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Acknowledgements

The authors want to thank the anonymous referees for their valuable suggestions and comments.

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Authors and Affiliations

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

    Qianli Zhao & Zhili Sun

Authors
  1. Qianli Zhao
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  2. Zhili Sun
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Correspondence to Qianli Zhao.

Additional information

Project supported by the National Science and Technology Major Project (NMP) of China (No. 2013ZX04011-011)

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Zhao, Q., Sun, Z. In-plane forced vibration of curved pipe conveying fluid by Green function method. Appl. Math. Mech.-Engl. Ed. 38, 1397–1414 (2017). https://doi.org/10.1007/s10483-017-2246-6

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  • DOI: https://doi.org/10.1007/s10483-017-2246-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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