基于增量谐波平衡法的输流管道非线性振动分析(英文)

Nonlinear Model for Vibration Analysis of Fluid-conveying Pipes via the Incremental Harmonic Balance Method

考虑内、外流体的影响,利用Kane方法和拉格朗日应变理论建立了输流管道的二维非线性动力学模型。将动力学模型在平衡位置附近线性化,进行输流管道的线性稳定性分析。采用增量谐波平衡法求解包含三次非线性项动力学模型的稳态周期解。探讨了不同参数影响下输流管道的非线性动力响应以及内流流速的大小对管道动力特性的影响。

A new nonlinear model of a fluid-conveying pipe is presented. Considering the effect of the internal fluid and excitation, the nonlinear differential equations are derived based on Kane＇s equation in combination with a Ritz method by using non-linear Lagrange strain theory.The equations of motion are linearized in the neighborhood of the equilibrium position to carry on the muhimode linear stability analysis.In addition, the time histories for the displacements are obtained by using the Incremental Harmonic Balance （IHB） method. The validity of the new model is substantiated by comparing the model and results with those proposed by Paadoussis （1998）.