| 基于增量谐波平衡法的输流管道非线性振动分析 |
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| 引用本文： | 孟丹,陈亮.基于增量谐波平衡法的输流管道非线性振动分析[J].船舶力学,2011,15(12). |
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| 作者姓名： | 孟丹 陈亮 |
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| 作者单位： | 青岛理工大学土木工程学院,山东青岛,266033;青岛理工大学建筑学院,山东青岛266033;青岛理工大学建筑设计研究院,山东青岛266033 |
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| 摘 要： | 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.
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| 关 键 词： | 非线性模型 Kane方法 振动分析 增量谐波平衡法 |
Nonlinear Model for Vibration Analysis of Fluid-conveying Pipes via the Incremental Harmonic Balance Method |
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| MENG Dan,CHEN Liang.Nonlinear Model for Vibration Analysis of Fluid-conveying Pipes via the Incremental Harmonic Balance Method[J].Journal of Ship Mechanics,2011,15(12). |
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| Authors: | MENG Dan CHEN Liang |
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| Abstract: | 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 multimode 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 Pa(i)doussis (1998). |
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| Keywords: | nonlinear model Kane's method vibration analysis Incremental Harmonic Balance (IHB) method |
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