Acta Mechanica Solida Sinica

, Volume 24, Issue 6, pp 477–483 | Cite as

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

Article

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.

Key words

pipe conveying fluid forced vibration internal resonance multidimensional Lindstedt-Poincaré method 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2011

Authors and Affiliations

  1. 1.College of Mechanical EngineeringShenyang University of Chemical TechnologyShenyangChina
  2. 2.School of Mechanical Engineering & AutomationNortheastern UniversityShenyangChina

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