1、計算機輔助工程分析計算機輔助工程分析內(nèi)容內(nèi)容2 有限元法的直接剛度法有限元法的直接剛度法 2.1 直梁的有限元分析直梁的有限元分析要求要求 了解：了解：單元、節(jié)點單元、節(jié)點的概念的概念 理解：梁單元理解：梁單元節(jié)點內(nèi)力、節(jié)點載荷節(jié)點內(nèi)力、節(jié)點載荷的概念的概念 梁梁單元剛度矩陣單元剛度矩陣的概念的概念 掌握：梁單元剛度矩陣的建立辦法掌握：梁單元剛度矩陣的建立辦法 利用利用節(jié)點平衡節(jié)點平衡組裝整體剛度組裝整體剛度作業(yè)作業(yè) 超靜定懸臂梁的有限元分析超靜定懸臂梁的有限元分析上節(jié)回顧上節(jié)回顧整體離散單元組裝上節(jié)回顧上節(jié)回顧本節(jié)提要一個例題：MDCBAZ212343ZM4321ZM4321M4321ijq

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5、lllmM4321Z1M1m11q11Z4M4m43q43Z2M2m22q22q21m21Z3M3m33q33q32m32Z1M1m11q1100YM111112231221111223212612626462EIZqflfllEIMmlfllfll00YM1222211223223331222222112232222333212612621261262626426462EIZqqflfllEIflfllEIMmmlfllfllEIlfllfllZ2M2m22q22q21m21Z4M4m43q43Z3M3m33q33q32m32 11223344,TQZ M ZMZ MZM QK Q 1122

6、3344,Tffff K 222222322222212612600006462000012612 126 612600626 6 44620020012612 66 36300626 3 42300006363000033 2llllllllllllllllllEIKlllllllllllllllllll 對稱，稀疏，奇異，主對角元恒正 QK122122222233222234412612600006462000012612 12661260062664462002000126126636300062634230000636300000ZllMllllZZllllMMllllllllEIZl

7、llllMllllllllZllM1122334224000332ffffllll122122222233222234412612600006462000012612 12661260062664462002000126126636300062634230000636300000ZllMllllZZllllMMllllllllEIZlllllMllllllllZllM1122334224000332ffffllll22223322232242401260086202012618330623600032fZlmlllEIfllllllllllll 對稱，稀疏，非奇異，主對角元恒正 22223322232242401260086202012618330623600032fZlmlllEIfllllllllllll 11223344,Tffff本節(jié)課小結(jié)第一步，對直梁進行離散化，劃分為有限個單元。第二步，對各結(jié)點和單元進行編碼。第三步，