• 作者： 劉英偉; 林見昌
• 作者服務機構： 屏東技術學院土木工程技術系暨研究所; 中興大學應用數學研究所
• 中文摘要： 本文提出一個用於分析複材層疊板的新協調式板彎矩有限單元，此單元係利用位移法推導而成，且包含了橫向剪力變形之效應。每個板單元是由四個節點所組成之四邊形平板，每一個節點擁有八個運動自由度，即（方程式無法摘錄）（方程式無法摘錄）構成總共三十二個自由度之複合材料層疊厚板有限單元。橫向位移是以Reddy之高階位移理論來表示，其滿足了板單元之頂端和底端無橫向剪應力邊界條件，同時不需任何剪力修正係數。為了驗證本研究之正確性，文中之數值範例均附有正解及三維彈性理論解或其他數值解之比較，結果顯示本文所建立之複材層疊厚板有限單元，可做為複材層疊板分析之另一途徑。
• 英文摘要： A multilayered anisotropic flat plate element which includes the effects of transverse shear defor-mation is developed by using a displacement formulation. The proposed rectangular plate element haseight degrees-of-freedom (DOF) at each nodal point, (方程式無法摘錄) resultingin a total of 32 DOF. The element formulation is based on Reddy’s higher-order theory, which satisfiesthe zero transverse shear stress boundary conditions on the top and bottom faces of the plate and withoutrequiring shear correction coefficients. In order to demonstrate the accuracy of the developed finite element,numerical results compared with available closed-form solutions, 3-D linear elasticity theory results, andother numerical results are given. Test cases show that the element developed here is a reliable 32 DOFthin or thick multilayer laminated plate element.
• 中文關鍵字： mulilayer laminated plate; conforming element; higher-order finite element model
• 英文關鍵字： --