| 刘颖,郭长青.粘弹性悬臂输流管道在激励力下的稳态响应分析[J].南华大学学报(自然科学版),2021,(1):43~48.[LIU Ying,GUO Changqing.Analysis of Steady Reponse of Viscoelastic Cantilever Fluid-conveying Pipes Under Excitation Force[J].Journal of University of South China(Science and Technology),2021,(1):43~48.] |
| 粘弹性悬臂输流管道在激励力下的稳态响应分析 |
| Analysis of Steady Reponse of Viscoelastic Cantilever Fluid-conveying Pipes Under Excitation Force |
| 投稿时间：2020-12-19 |
| DOI：10. 19431/ j. cnki. 1673-0062. 2021. 01. 006 |
| 中文关键词: 输流管道 强迫振动 Green函数 粘弹性系数 稳态响应 |
| 英文关键词:fluid-conveying pipe forced vibration Green function viscoelastic coefficient steady response |
| 基金项目:国家自然科学基金项目(51678286) |
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| 中文摘要: |
| 以Bernoulli-Euler梁模型为基础,建立了粘弹性输流管道的动力学方程。运用Laplace变换对输流管道的运动微分方程进行求解,得到了输流管道在强迫振动下的Green函数解。研究了系统参数对悬臂输流管道自由端稳态响应的影响。结果表明:激励点位置对一阶共振幅值影响较大;随着粘弹性系数的增加,一阶共振频率会持续降低,当粘弹性系数增加到一定程度后,一阶和二阶共振频率开始逐渐融合;质量比对一阶共振幅值影响较大。 |
| 英文摘要: |
| Based on Bernoulli-Euler beam model, the dynamic equation of viscoelastic fluid-conveying pipes was established. The Laplace transformation was employed to solve the differential equation of motion of fluid-conveying pipes, and the Green function solution was obtained for fluid-conveying pipes under forced vibration. The influences of system parameters on the steady response of the free end of a cantilever pipeline were studied. Results show that:the position of the excitation has a great effect on the first-order resonance amplitude; as the viscoelastic coefficient increases, the first-order resonance frequency will decrease continuously; when the coefficient increases to a certain level, the first-order and the second-order resonance frequencies begin to merge gradually; mass-ratio has great influence on the first-order resonance amplitude. |
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