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題 名 | Dynamic Modeling of Flexible Four-Bar Systems=撓性四連桿系統的動態建模 |
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作 者 | 賴新一; | 書刊名 | 中國機械工程學刊 |
卷 期 | 18:1 1997.02[民86.02] |
頁 次 | 頁31-42 |
分類號 | 446.11 |
關鍵詞 | 撓性四連桿系統; 動態特性行為; Flexible four-bar systems; Modified lagrange equations; Gyroscopic effect; Rotary inertia; Coriolis forces; |
語 文 | 英文(English) |
中文摘要 | 本文提出一套描述撓性四連桿系統動態特性行為的新方法。在這個方法裡,系統 的動態方程式可經由一套改良型的拉格朗日方程模組推演而得,並透過以局部座標所描繪的 位移函數的有限元素法來求解。這個方法節省了每個元素矩陣需要被從局部座標轉換到總體 座標的作業步驟與計算時間,從而使係統的動態響應的計算更快速而準確。本文所提出的這 套理論考慮了傳統模型未曾考慮的撓性桿件的動迴旋慣量與轉動慣量,並以三個精簡的質量 矩陣來代達。桿件間的接合銷所構成的物理拘束條件,及其在有限元素模型中的組合步驟, 均已在文中詳加推導。本文最後透過幾個實際的數值模擬案例,證實了本文所提出的這套描 述撓性四連桿系統動態特性行為的新方法,確實享有較高的準度與效率。 |
英文摘要 | This paper presents a new approach to characterize the dynamic behavior of rotating four-bar systems made of flexible members. In this approach, the system equations of motion is derived based on a modified constrained Lagrange formulation. The finite element procedure is employed to solve system equations where all displacements are prescribed in the local coordinate system as opposed to the global coordinate system. In the formulation, both of the gyroscopic and rotary inertia of elastic links are considered. The inertia terms are presented in terms of three elemental mass matrices. The proposed approach eliminates the need to transform element matrices from the local to the global coordinate systems. The physical constraints of pin joints and the assembly in finite element models are detailed. Several numerical simulations are presented to show the efficiency and accuracy of the proposed method. The result indicates that the proposed method is capable of characterizing the dynamic responses of flexible four-bar systems rotating at various speeds with high efficiency and accuracy. |
本系統中英文摘要資訊取自各篇刊載內容。