Acta Mechanica Solida Sinica

, Volume 21, Issue 2, pp 170–176 | Cite as

Nonlinear Responses of a Fluid-Conveying Pipe Embedded in Nonlinear Elastic Foundations

Article

Abstract

The nonlinear responses of planar motions of a fluid-conveying pipe embedded in nonlinear elastic foundations are investigated via the differential quadrature method discretization (DQMD) of the governing partial differential equation. For the analytical model, the effect of the nonlinear elastic foundation is modeled by a nonlinear restraining force. By using an iterative algorithm, a set of ordinary differential dynamical equations derived from the equation of motion of the system are solved numerically and then the bifurcations are analyzed. The numerical results, in which the existence of chaos is demonstrated, are presented in the form of phase portraits of the oscillations. The intermittency transition to chaos has been found to arise.

Key words

fluid-conveying pipe nonlinear elastic foundation chaotic motion bifurcation differential quadrature method discretization (DQMD) 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2008

Authors and Affiliations

  1. 1.Department of MechanicsHuazhong University of Science and TechnologyWuhanChina

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