摘要
研究弹性地基上输液管的稳定性。首先推导出该类管的控制方程。借助初参数法的思路,建立管两端位移、内力向量间的关系。由传递矩阵法得到中间有任意弹性支承输液管的特征方程,解此方程就可求得管的临界流速。由于特征方程为二阶矩阵方程,数值算例表明本文方法计算量小、精度高。通过计算还得到了地基刚性系数对临界流速的影响规律。
This paper investigates the stability of pipes conveying fluid on elastic foundation. The governing equations of the pipes are derived. Based on the initial parameter method, a concise relation between displacement vector and force vector at both ends of the pipe is obtained. For a pipe conveying fluid with arbitrary intermediate spring supports, a transfer matrix method is used to determine the characteristic equation, from which the critical velocity is calculated. Several numerical examples show that the present method may save computer time and achieve good accuracy since the characteristic equation is a two-order one. The influence of rigidity coefficient of the foundation on the critical velocity is discussed in detail.
出处
《工程力学》
EI
CSCD
北大核心
2004年第4期194-198,共5页
Engineering Mechanics
基金
国家自然科学基金资助项目(19872025)
关键词
输液管
弹性地基
临界流速
初参数法
传递矩阵法
pipe conveying fluid
elastic foundation
critical velocity
initial parameter method
transfer matrix method
