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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/38145

    Title: 邊界限制有缺陷複合層板承受衝擊負荷之動態分析
    Other Titles: Dynamic Analysis of Initial Imperfection, Laminated Composite Plates with Edge Restraints Subjected to Impact
    Authors: 蔡慧駿;葉豐輝
    Contributors: 淡江大學機械與機電工程學系
    Keywords: 複合材料;機械性質;赫茲接觸定律;廣義雙重傅利葉級數法;Composite;Mechanical Property;Hertzian Contact Law;Generalized Double Fourier Series Method
    Date: 1997-10
    Issue Date: 2010-01-11 14:45:29 (UTC+8)
    Abstract: 本文係研究有缺陷複合層板承受平面應力及非同平面邊界為旋轉彈性支撐於大變形情況下承受衝擊負荷之暫態反應。研究中採用簡單高階剪變形理論,配合Von Karman大變形理論,並利用廣義雙重傅利葉級數法(The generalized double fourier series method)將位移函數假設成滿足邊界條件之傅利葉級數,對複合層板之能量加以分析,而推導出一組非線性代數方程組,再利用阮吉-庫達-費爾堡方法(Runge- kutta-fehlberg method)來逐步求解此方程組,以期了解複合層板在承受撞擊時整個接觸過程之行為。 在數值分析的過程中,利用赫茲接觸定律(Hertzian contact law)來決定接觸力與凹陷量的關係式,並描述衝擊物與複合層板之間的接觸行為,了解複合層板承受橫向衝擊負荷時的暫態反應,包括位移、速度、凹陷量與接觸力於不同時間之變化。 最後,文中以各種不同的衝擊速度、板之厚度、長寬比、缺陷量、初始應力、彈性係數、疊層角度與層數等情形來進行分析,探討於各種條件下對複合層板性質所產生的變化與衝擊行為對於複合層板所造成之接觸力、位移、速度與接觸時間長短的影響。
    The dynamic response of an initially imperfect and moderately thick laminated composite plate with inplane loadings and edge restrains subjected to impact is investigated in this study. The expression of the total energy of such a plate is developed first with the use of a simple higher-order non-linear plate theory and the von Karman large deflection theory. This expression is then used to derive the equations of motion and boundary conditions using Hamilton's principle. With the application of the generalized double Fourier series method, displacement functions which satisfy the boundary conditions are assumed. Thereafter, a set of nonlinear algebra equations which can be solved by Runge-Kutta- Fehlberg method is derived, and the contact behavior of the laminated composite plate subjected to impact is studied. In this study, the contact force and the dynamic behavior between the laminated composite plate and the impactor are described by Hertzian contact law. The transient response of the laminated composite plate subjected to transverse impact can then be examined. The displacement, velocity, indentation and contact force of the plate at various time are detailly described. Finally, the effects of impact velocity, plate thickness, aspect ratio. ply orientation, numbers of layers, material properties, elastic restrains, inplane forces on the impact behavior of the laminated composite plate are studied.
    Relation: 一九九七年尖端材料及製造科技學術研討會論文集=Proceedings of the 1997 Conference on the Advanced Materials and Process Engineering Technologies,頁51-56
    Appears in Collections:[Graduate Institute & Department of Mechanical and Electro-Mechanical Engineering] Proceeding

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