Threedimensional dynamics of supported pipes conveying fluid  
期刊名称  Acta Mechanica Sinica  作者  L. Wang; T. L. Jiang; H. L. Dai  栏目  SOLID MECHANICS  摘要  This paper deals with the threedimensional dynamics and postbuckling behavior of flexible supported pipes conveying fluid, considering flow velocities lower and higher than the critical value at which the buckling instability occurs. In the case of low flow velocity, the pipe is stable with a straight equilibrium position and the dynamics of the system can be examined using linear theory. When the flow velocity is beyond the critical value, any motions of the pipe could be around the postbuckling configuration (nonzero equilibrium position) rather than the straight equilibrium position, so nonlinear theory is required. The nonlinear equations of perturbed motions around the postbuckling configuration are derived and solved with the aid of Galerkin discretization. It is found, for a given flow velocity, that the firstmode frequency for inplane motions is quite different from that for outofplane motions. However, the secondor thirdmode frequencies for inplane motions are approximately equal to their counterparts for outofplane motions, keeping almost constant values with increasing flow velocity. Moreover, the orientation angle of the postbuckling configuration plane for a buckled pipe can be significantly affected by initial conditions, displaying new features which have not been observed in the same pipe system factitiously supposed to deform in a single plane.  英文栏目名称  SOLID MECHANICS  关键词  Pipe conveying fluid;Threedimensional dynamics;Instability;Natural frequency;Postbuckling configuration  参考文献  1. Engelstad, R.L.:Vibration and stability of vertical tubes conveying fluid subjected to planar excitation.[Ph.D. Thesis], Department of Engineering Mechanics, University of WisconsinMadison, USA (1988) 2. 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