基于能量有限元法的损伤充液管道振动分析

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (21) : 31-36.

论文

基于能量有限元法的损伤充液管道振动分析

尚保佑 1，2，3 ，朱翔1，2, 3，李天匀 1，2, 3 ，梁孝天1，2, 3

作者信息 +

Vibration analysis of a damaged fluid-filled pipeline based on energy finite element method

SHANG Baoyou1,2,3，ZHU Xiang1,2,3，LI Tianyun1,2,3，LIANG Xiaotian1,2,3，

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文章历史 +

摘要

管道结构在服役期间会出现各种形式的损伤，其结构动力学参数和能量传播形式也会随之产生一定的变化，根据充液管道的动力学方程，推导得到了充液管道振动的能量平衡方程和能量有限元方程。分别采用能量有限元法和有限元法对充液管道的能量密度进行了计算和对比，验证了能量有限元法求解充液管道振动响应的准确性。在此基础上建立了基于能量密度变化和能量流变化的两个损伤指标，讨论了单元受损后的刚度变化和阻尼变化对能量流指标的影响，算例表明基于能量流变化的指标能够有效地识别充液管道结构的损伤部位。研究为基于能量有限元法预报充液管道的振动和基于该方法识别输流管道的损伤提供了理论基础。

Abstract

Damage often appears in fluid-filled pipelines during their service period with a certain change of their structural dynamic parameters and energy transmission form.Here, energy balance equation and energy finite element equation of a fluid-filled pipeline’s vibration were established according to its dynamic equation.The energy finite element method and the finite element method were used, respectively to compute and compare the fluid-filled pipeline’s energy density.The correctness of the energy finite element method used to solve vibration response of the fluid-filled pipeline was verified.Then, two damage indexes based on energy density variation and energy flow variation were established, respectively.The effects of damaged element’s stiffness and damping variations on the energy flow index were discussed.Examples showed that the index based on energy flow variation can be used to effectively identify the damage position of a fluid-filled pipeline structure; the study results provide a theoretical foundation for predicting a fluid-filled pipeline’s vibration and identifying its damage based on the energy finite element method.

导出引用

尚保佑 1，2，3,朱翔1，2, 3，李天匀 1，2, 3,梁孝天1，2, 3. 基于能量有限元法的损伤充液管道振动分析[J]. 振动与冲击, 2019, 38(21): 31-36

SHANG Baoyou1,2,3，ZHU Xiang1,2,3，LI Tianyun1,2,3，LIANG Xiaotian1,2,3，. Vibration analysis of a damaged fluid-filled pipeline based on energy finite element method[J]. Journal of Vibration and Shock, 2019, 38(21): 31-36

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