考虑内流压力时输流曲管的混沌运动及其抑制模型

考虑内部流体压力因素的影响,研究了具有非线性运动约束输流曲管的混沌运动及其抑制模型.首先,在输流曲管的运动微分方程中计入流体压力作用项,并采用微分求积法对此方程进行离散化处理.然后,通过数值迭代计算,分析了在流体压力这一参数区域内曲管的多种运动形态(包括混沌运动).研究表明,流体压力因素对曲管的动力响应有较大的影响,在实际工程中应给予充分考虑.在此基础之上,提出了一种曲管的混沌抑制模型,有效的消除了系统的混沌运动.

Chaotic vibration and suppression of a fluid conveying curved pipe by considering the effect of internal fluid pressure

Taking into account the effect of internal fluid pressure, the chaotic vibration and suppression of a fluid-conveying curved pipe subjected to motion-limiting constraint were investigated. With a fluid-pressure term added, the equation of motion for the fluid-conveying curved pipe was discretized by differential quadrature method. In the parameter region of fluid pressure, several motions (include chaotic vibration) were detected via numerical iterative calculations. It is shown that the fluid pressure factor greatly influences the dynamic responses of the pipe, which should be considered adequately in practical applications. Based on this, to suppress the chaotic vibration, a modified curved pipe model was undertaken, which can eliminate the chaotic vibration effectively.