Analysis of Coupled-Mode Flutter of Pipes Conveying Fluid on the Elastic Foundation
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摘要: 推导出了弹性地基输流管道的固-液耦合振动微分方程,用幂级数法计算了Winkler模型地基和双参数模型地基输流管道的临界流速和复频率,分析了弹性地基对输流管道静力稳定性与动力稳定性的影响.结果表明,与不考虑弹性地基的情况相比较,弹性地基的作用可使管道发生静力失稳和动力失稳的临界流速增大,并且增大弹性地基参数可提高静力失稳和动力失稳的临界流速,从而推迟发散与颤振的发生.当质量比β较大时,管道会在某个地基参数组合下,在发生静力失稳后,会在较高流速下出现再稳定和再发散现象,然后发生耦合模态颤振.Abstract: The governing equation of solid-liquid couple vibration of pipe conveying fluid on the elastic foundation was derived. The critical velocity and complex frequency of pipe conveying fluid on Winkler elastic foundation and two-parameter foundation were calculated by power series method. Compared with pipe without considering elastic foundation, the numerical results show that elastic foundation can increase the critical flow velocity of static instability and dynamic instability of pipe. And the increase of foundation parameters may increase the critical flow velocity of static instability and dynamic instability of pipe, thereby delays the occurrence of divergence and flutter instability of pipe. For higher mass ratio β, in the combination of certain foundation parameters, pipe behaves the phenomenon of restabilization and redivergence after the occurrence of static instability, and then coupled-mode flutter takes place.
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Key words:
- elastic foundation /
- pipe conveying fluid /
- coupled-mode flutter /
- stability /
- power series method
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[1] Sugiyama Y,Tanaka Y,Kishi T,et al.E ffect of a spring support on the stability of pipe conveying fluid[J].Journal of Sound and Vibration,1985,100(2):257-270. [2] CUI Hong-wu,TANI Jun-ji.Effect of boundary conditions on the stability of a cantilever pipe discharging and aspirating fluid[J].JSME International Journal,Series C,1996,39(1):20-22. [3] Pramila A,Laukkanen J.Dynamics and stability of short fluid-conveying Timoshenko element pipes[J].Journal of Sound and Vibration,1991,144(3):421-425. [4] 王本利,王世忠,安为民,等.用有限元法分析导管固液耦合振动[J].哈尔滨工业大学学报,1985,17(2):8-13. [5] 王世忠,王茹.三维管道固液耦合振动分析[J].哈尔滨工业大 学学报,1992,24(4):43-49. [6] 梁波,唐家祥.输液管道动力特性与动力稳定性的有限元分析[J].固体力学学报,1993,14(2):167-170. [7] 张悉德,杜涛,张文,等.输送流体管道Housner方程的修正[J].应用数学和力学,1993,14(2):147-149. [8] 陈正翔,张维衡.简单输液管系的稳定性分析[J].振动工程学报,1998,11(1):38-45. [9] 冯振宇,王忠民,赵凤群.考虑转动惯量时输流管道动力特性的有 限差分法[J].西安公路交通大学学报,1998,18(2):39-43. [10] 冯振宇,赵凤群,王忠民.考虑剪切变形时的输流管道动力特性分析[J].西北纺织工学院学报,1998,12(1):34-38. [11] 冯振宇,赵凤群,王忠民.非保守力对输流管道振动特性的影响[J].西安公路交通大学学报,1998,18(增A):14-17. [12] 王世忠,刘玉兰,黄文虎.输送流体管道的固-液耦合动力学研究[J].应用数学和力学,1998,19(11):987-993. [13] Chen S S(美).圆柱结构的流动诱发振动[M].冯振宇,张希农译.北京:石油工业出版社,1993. [14] 丁文镜.工程中的自激振动[M].长春:吉林教育出版社,1988. [15] Selvadurai A P S(加).土与基础相互作用的弹性分析[M].范文田,何广汉,张式深,等译.北京:中国铁道出版社,1984. -
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