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弹性支撑输流管路的边界惯容减振器减振
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Abstract:
本文研究边界惯容减振器对输流管路横向振动的减振作用。基于广义Hamilton原理建立边界耦合惯容减振器的弹性支撑输流管路系统的动力学方程，应用Galerkin方法对偏微分方程进行离散处理，结合谐波平衡法与伪弧长算法得到系统的稳态响应，最后采用Runge-Kutta方法进行数值验证。通过对比有无边界惯容减振器的弹性支撑输流管路的稳态响应和传递率，展示了边界惯容减振器的减振效果。此外本文还讨论了边界惯容减振器各项参数变化对管路系统稳态响应和传递率的影响。
This paper investigates the vibration reduction of boundary inertia capacitance dampers on the transverse vibration of conveyance pipelines. Based on the generalized Hamilton principle, the dynamic equations of an elastic supported conveyance pipeline system with boundary inertia capacitance dampers are established. The Galerkin method is applied to discretize the partial differential equations, and the system’s steady state response is obtained by combining the harmonic balance method with the pseudo arc length algorithm. Finally, numerical verification is carried out using the Runge-Kutta method. By comparing the steady state response and transmissibility of elastic-supported pipelines with and without boundary inertia capacitance dampers, the vibration reduction effect of boundary inertia capacitance dampers is demonstrated. In addition, this paper also discusses the impact of variations in various parameters of the boundary inertia capacitance dampers on the steady-state response and transmissibility of the pipeline system.
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