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Forced Vibrations with Internal Resonance of a Pipe Conveying Fluid Under External Periodic Excitation

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Abstract

Applying the multidimensional Lindstedt-Poincaré (MDLP) method, we study the forced vibrations with internal resonance of a clamped-clamped pipe conveying fluid under external periodic excitation. The frequency-amplitude response curves of the first-mode resonance with internal resonance are obtained and its characteristics are discussed; moreover, the motions of the first two modes are also analyzed in detail. The present results reveal rich and complex dynamic behaviors caused by internal resonance and that some of the internal resonances are decided by the excitation amplitude. The MDLP method is also proved to be a simple and efficient technique to deal with nonlinear dynamics.

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Authors and Affiliations

  1. College of Mechanical Engineering, Shenyang University of Chemical Technology, Shenyang, 110142, China

    Feng Liang

  2. School of Mechanical Engineering & Automation, Northeastern University, Shenyang, 110004, China

    Bangchun Wen

Authors
  1. Feng Liang
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  2. Bangchun Wen
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Correspondence to Feng Liang.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10702045 and 10872135), the Aerospace Foundation of China (No. 2009ZA018) and the Natural Science Foundation of Liaoning Province (No. 2009A572).

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Liang, F., Wen, B. Forced Vibrations with Internal Resonance of a Pipe Conveying Fluid Under External Periodic Excitation. Acta Mech. Solida Sin. 24, 477–483 (2011). https://doi.org/10.1016/S0894-9166(11)60047-5

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  • DOI: https://doi.org/10.1016/S0894-9166(11)60047-5

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