含非线性能量汇的简支输液管非线性振动控制研究

论文建立了一个含有非线性能量汇(NES)装置并输运脉动内流的简支输液管道理论模型, 研究了NES装置对管道的非线性动力学特性与振动控制的影响. 利用Galerkin和龙格库塔法, 得到了在含NES和不含NES装置时管道动力学响应的数值结果. 研究表明, NES装置能有效地抑制管道振动. 通过对比可知, NES对管道系统的稳定性和非线性振动控制有着明显的影响. 此外, 本文还详细讨论了NES装置相关参数对系统的动力学影响. 结果表明, 增大NES的弹簧刚度、阻尼和质量比有利于管道减振, 且最佳安装位置在管道中点. 此外, 增大阻尼?能缩小失稳激励频率区域, 而其他参数的变化对失稳激励频率区域影响较小.

Nonlinear Vibration Control of a Simply supported Pipe Conveying Fluid with Nonlinear Energy Sink

Pipes conveying fluid are widely applied in heat exchanger systems, nuclear power plants, chemical process plants, marine risers, etc. However, the excessive piping vibration can cause leaks, fatigue failures and noises. Thus, investigations on the vibration suppression of pipes are of theoretical and practical significance. In this study, we construct a theoretical model to investigate the nonlinear dynamics of a simply-supported pipe conveying pulsating fluid equipped with a nonlinear energy sink (NES). By taking the deflection-dependent axial force into consideration, the nonlinear governing equations of the system are obtained. Based on the Galerkin method and the Runge-Kutta