Non-Linear Active Vibration Control of a Cantilever Pipe Conveying Fluid

ISSN： 0022-460X

Source： Journal of Sound and Vibration, Vol.202, Iss.4, 1997-04, pp. : 477-490

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Abstract

Active vibration suppression of a fluid conveying cantilever pipe with geometric non-linearity due to post-critical flow speed is examined. The non-linear characteristics of the system is described using the fictitious load approach and the dynamic responses can be obtained using successive co-ordinate transformations, which only require the solution of linear differential equations, without the need to deal with the complex non-linear strain-displacement relationships. An instantaneous optimal closed loop control approach by minimizing an objective function at each time instant is developed using the Newmark method for solution of the linear equations of motion. The effect of actuator location on the performance of the control system is described. It is demonstrated that the control design is also applicable for vibration suppression of the fluid conveying cantilever pipe subjected to random base excitations.