Dynamical Responses of a Valveless Fluid Loop Excited by the Impact of a Compression Actuator

無閥流體驅動現象廣泛存在於工程系統中與生物體內，且為其中工作流體輸送之重要助力、甚或主力。在先前研究中，我們曾以一由兩條硬管連結兩個可延展流體儲存槽所組成之封閉無閥流體迴路為模擬標的，建構了一套分段線性之總括參數數學模型，並用以釐清擠壓致動器衝擊效應對無閥流體驅動系統動態表現的影響。該研究所獲得之漸近分析結果與初步數值計算結果指出，擠壓頻率以及其他系統參數對於致動器與受壓槽間的交互作用具有重要的影響，進而使得系統動態行為甚為豐富多樣。在本文中我們針對前述數學模型進行更為完整的數值參數探討，並且有系統地討論計算結果，從而歸納出系統動態響應之可能類型，以及各類型響應所對應之系統參數範圍。同時，藉由追蹤若干特徵相位角（例如在一擠壓週期中，致動器與受壓槽脫離或碰撞時的相位角）隨擠壓頻率變動之趨勢，我們也明確地指認各類型系統動態響應的關連性與演進過程。

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並列摘要

Valveless pumping assists in fluid transport in various organisms and engineering systems. In a previous work, to study the actuator impact effects on valveless pumping, we constructed a piecewise-linear lumped-parameter model for a closed-loop system, which consists of two distensible fluid reservoirs connected by two rigid tubes. The preliminary asymptotic and numerical results of that work indicated that the system dynamics is rather rich and complex, and strongly depends upon the driving frequency of the actuator (which periodically compresses one of the distensible reservoirs) and other system parameters. Here, a more comprehensive numerical study on the aforementioned model is carried out, so as to clarify how many different types of system responses can be excited, and to locate the parameter boundaries within which each type exists. Moreover, by examining the driving-frequency dependences of a number of characteristic phases (such as the phase of the compression cycle at which the actuator collides with or separates from the distensible reservoir it acts upon), the interrelations between different types of system responses are identified.

並列關鍵字

valveless pumping ； Liebau effect ； actuator impact ； nonlinear dynamics

國際替代計量

Dynamical Responses of a Valveless Fluid Loop Excited by the Impact of a Compression Actuator

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