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題名 | Orientation Control of Particles and Fibers for Polymeric Liquids and Fiber Reinforced Materials=高分子流體及纖維加強材料中粒子及纖維的方位控制 |
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作者 | 劉進賢; | 書刊名 | 中國工程學刊 |
卷期 | 20:4 1997.07[民86.07] |
頁次 | 頁443-456 |
分類號 | 440.137 |
關鍵詞 | 方位; 形狀因子; 啞鈴模式; 纖維加強材料; 高分子流體; 允許集; 可控性; Orientation; Shape factor; Strong flow criterion; Fiber-reinforced materials; Polymeric liquids; Allowable set; Control-lability; |
語文 | 英文(English) |
中文摘要 | 本文將高分子流體的懸浮粒子及纖維加強材料的纖維,以黏彈性啞鈴模式或橢球 模式模擬。文中提出一種新的數學方法將描述稀薄懸浮粒子方位演化的非線性控制微分方程 轉換成線性的時變微分方程系統,因此找出方位演化的正確解變得相當容易。在此推導過程我 們引進一個狀態變量z,發現要找出閉合解完全仰賴於z之求解,它並扮演強性流體之判準。 本文根據正確解推導出在工業上非常有應用價值的方位控制理論,利用流體的參數調整可達 到特定方位的定向控制,這對製造高性能纖維加強材料的製程選擇,無疑提供一種可供纖維 方位定向的控制方法。文中推導出方位可控性的允許集,並說明如何選擇適當的流體控制參 數,以保證絕大部份的纖維可在短時間內達到特定方位的取向。 |
英文摘要 | Molecules in polymeric liquids and fibers in fiber-reinforced materials are modelled using the spheroidal model or the dumbbell model of the Kelvin type. A method is developed to transform the nonlinear governing equation of orientation for dilute suspensions to a system of time-varying linear differential equations. Thereby the finding of the exact solution becomes much easier than before, where the introduced scalar variable z plays a key role both in the finding of the solution and in the formulation of the criterion of strong flow. Moreover, by utilizing the results of the exact solution, the technologically important problem of fiber (or particle) orientation control is further analyzed; hence, the criterion of controllability for a target orientation is established and the allowable set in the space of parameters is identified. The procedures to choose suitable parameters to perform specific orientation alignment are suggested and demonstrated, and guarantee that the most fibers (or particles) can be controlled to the preferred orientation within a finite time with desired precision. |
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