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简谐激励下输流管道的非线性运动方程
The Nonlinear Equations of Motion of Pipeline Conveying Fluid Under The Simple Harmonic Excitation
【摘要】 本文推导了两端受扭转弹簧约束的简支输流管道在其支承简谐运动激励下的运动微分方程,并利用Galerkin方法对其进行了离散化处理。另外,针对于扭转弹簧刚度的两种极限情形①K1=0, K2=0(两端简支)和②K1→∞,KZ→∞、(两端固定)进行了讨论,还将运动方程进行了简化。
【Abstract】 The nonlinear equations of motion of simple - supported pipline conveying fluid with torque springs at both ends, excited by the simple periodic motion of its supporting base in the direction of being normal to the pipeline span, were derived. And the epuations were simplified for two special cases; ①K1 = 0, K2 =0 (simple- supported pipe) and②K1→∞, K2→∞ (clamped-clamped pipe).
【关键词】 非线性方程;
输流管道;
扭转弹簧;
简谐激励;
【Key words】 nonlinear equations; pipeline conveying fluid; simple harmonic excitation;
【Key words】 nonlinear equations; pipeline conveying fluid; simple harmonic excitation;
- 【文献出处】 沈阳航空工业学院学报 ,JOURNAL OF SHENYANG INSTITUTE OF AERONAUTCAL ENGINEERING , 编辑部邮箱 ,2000年01期
- 【分类号】O32
- 【被引频次】10
- 【下载频次】167