基于绝对节点坐标法的输流管道非线性动力学分析

基于绝对节点坐标法，建立一种新的一维二节点输流管道单元。应用Irschik提出的适用于含非材料体系统的Lagrange方程推导输流管道单元的运动方程。采用Euler梁来模拟管道，并完全采用非线性Green应变张量和第二Piola Kirchhoff应力张量，没有任何量级近似，也没有假设悬臂输流管道的轴线不可伸长，并考虑材料的泊松效应对流速的影响，因此通过该方法得到的运动方程比传统的通过量级近似得到的输流管道的运动方程更合理。通过数值计算，分析不同边界条件下的输流管道非线性行为，并与经典输流管道运动方程的计算结果比较，结果表明本文中的方法更合理

Analysis of nonlinear dynamic behavior of pipe conveying fluid based on absolute nodal coordinate formulation

Based on absolute nodal coordinate formulation(ANCF),a new finite element of pipe conveying fluid was presented.An extended version of Lagrange's equations,written for the system containing non-material volumes by Irschik,was used to obtain the equations of the finite elements of pipe conveying fluid.The pipe was modeled as Bernoulli Euler beam and the fully nonlinear Green stain tensor and second Piola Kirchhoff stress tensor were adopted.The influences of the lateral contraction resulted from axial elonga...