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題 名 | Theoretical Analysis and Optimal Design of Impact of Laminated Composite Plates=複合材料板件的衝擊理論分析與最佳化設計 |
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作 者 | 賴峰民; | 書刊名 | 樹德學報 |
卷 期 | 25 2000.03[民89.03] |
頁 次 | 頁123-137 |
分類號 | 440.34 |
關鍵詞 | 衝擊; 複合材料板件; 接觸定律; 接觸力; 非線性; 最佳化設計; Impact; Laminated composite plate; Von karman-mindlin plate theory; Contact law; Nonlinear analysis; Contact force; Optimal layups; |
語 文 | 英文(English) |
中文摘要 | 本文在非線性的板理論中,採用von Karman平板理論來分析複合材料板件受到低 速衝擊的動態反應,並且利用虛功法推導衝擊頭及積層板的動態方程式,同時配合一階剪變 形有限單元法求解複合材料板件受到衝擊作用時的接觸力大小。在接觸力的計算過程中採用 複合材料板三階段接觸定律來進行衝擊問題模擬,依線性與非線性的板理論來探討其結果。 在例題中,考慮不同厚度與角度疊層方式的複合材料板,受到衝擊物以不同速度撞擊下的力 學行為,並將理論分析結果與實際衝擊實驗值作一比較。最後,利用全域極小值最佳化設計 方法來研究複合材料板件受衝擊時的最佳疊層角度,使得複合材料板件的動態位移達到最 小。 |
英文摘要 | The dynamic response of nonlinear laminated composite plates subject to low-speed impact is studied using the von Karman-Mindlin plate theory. The equations of motion of the impactor and the plate are derived via a virtual work approach. The impact problem is solved via the use of Newmark's integration scheme and Newton- Raphson method. The proposed method is then used to evaluate the contact force of the plates during impact. The contact force between the impactor and the plate is calculated by using an experimentally established contact law. The discrepancies between the results predicted by the linear and nonlinear plate theories are investigated. The experimental and theoretical methods are presented to study the contact force of laminated composite plates with different length-to-thickness ratios, fiber angles and number of layer groups. Results obtained via various theories are compared with experimental results. Optimal layups of laminates for minimizing dynamic response via the present method and a global optimization technique are presented. |
本系統中英文摘要資訊取自各篇刊載內容。