【摘 要】
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This paper considers the global stability problem of the system comprising a pipe conveying fluid and a nonlinear energy sink (PCF-NES) system.First,a quadratic form model containing a gradient term of a convex function is obtained from a high-order parti
【机 构】
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Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Educa
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This paper considers the global stability problem of the system comprising a pipe conveying fluid and a nonlinear energy sink (PCF-NES) system.First,a quadratic form model containing a gradient term of a convex function is obtained from a high-order partial-differential-equation model of the PCF-NES system using the Galerkin approximation approach.Energy and disturbance functionals are then established based on this model.Second,a Lyapunov function is constructed based on the first-order characteristic of the convexity and energy disturbance technique to prove the global exponential stability of the approximated PCF-NES system.Finally,theoretical results are verified using numerical simulations and the positive effect of the NES on the vibration control of the entire PCF is discussed.
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