微分求积法分析弹性支承输流管道的稳定性

微分求积法是一种用于求解边值/初值问题的有效方法,与其他数值方法相比,具有原理简单、计算量少、易于编程实现、精度令人满意等特点.将此算法推广到具有弹性支承输流管道的稳定性分析,通过算例的分析对比说明DQM用于分析流固耦合输流管道的动力特性具有独特的优点.在此基础上,研究了一般端部条件下输流管的稳定性问题,分析了弹性支承系数对管道稳定性的影响,得到了对输流管道的设计及可靠性分析具有工程参考价值的若干初步结论.

Differential Quadrature Method to Analyze Stability of Elastically-Supported Fluid Conveying Pipelines

The differential quadrature method(DQM) is an efficient numerical one to solve the boundary/initial value problems because of its mathematical simplicity,decreased amount of computation,easy programming and high precision.The method is extended to the stability analysis of elastically-supported fluid conveying pipelines.The numerical computation results showed that DQM has a unique merit to the dynamic analysis of the characteristics of the fluid conveying pipelines concerning with the fluid structures interaction(FSI).Discusses the stability of such pipelines under common end constraining conditions and the effects of both torque spring and linear spring coefficients on the pipelines' stability.Some preliminary conclusions are thus drawn involving the design of such pipelines and relevant reliability analysis,which are available for technological reference.