摘要
Winding number积分方法是一种用于求解复特征值问题的有效方法。在用传递矩阵法分析输流管道的稳定性时,最终需要求解临界流速的特征方程。该特征方程属于复特征值问题,可应用Winding number积分方法来很好的处理。本文以输流直管为例,阐述了该方法的基本思想和计算的方法及步骤,并对典型边界条件下的特征方程进行求解,验证了Winding number积分方法在求解复数方程根时的有效性。最后,在此基础上研究了弹性支撑的刚度系数对输流管道稳定性的影响。
Winding number integral method is an effective method for solving the complex eigenvalue problem. When analyzing the stability of pipes conveying fluid by using the transfer matrix method, the eigenvalue equation on critical velocity needs to be solved. It is a complex eigenvalue problem,and Winding number integral method can deal with it well. In this paper, the principle and procedure of the method are introduced. Then,the method is applied to solve the eigenvalue equation of typical boundary conditions of straight pipes conveying fluid, and it was found to work well. Finally, the influence of rigidity coefficient of the elastic support on the stability is discussed.
出处
《舰船科学技术》
2011年第2期37-40,60,共5页
Ship Science and Technology
