有限元程序設(shè)計(jì)--第八章三維問(wèn)題的有限元方法(2)-文庫(kù)吧資料
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【正文】 t node 6displ a c e m e nt c om pon e nts a t node 7displ a c e m e nt c om pon e nts a t node 8111 ( 1 , 2 , , 8 ) eiuviw????????????d1 7 5 8 6 4 2 0 z y x 3 0 fsz fsy fsx ? ?87654321 NNNNNNNNN ?)8,2,1( 000000????????????? iNNNiiiiN湖南大學(xué)機(jī)械與運(yùn)載工程學(xué)院 College of Mechanical amp。 Vehicle Engineering, Hunan University 2021/11/12 四面體常應(yīng)變單元 Jacobian: ??????????????????????????????????????????????zyxzyxzyxJ243121413131213121413131216 0 0 ]d e t [ ??????????????????Vzyyyyyyxxxxxx???????????J111000d d e t d d deTTeVV? ? ? ? ???? ? ? ?m N N N N [ J ]1 1 1 2 1 3 1 4111 2 1 2 2 2 3 2 420003 1 3 2 3 3 3 44 1 4 2 4 3 4 46 d d dee V ? ?? ? ? ????????????????N N N NN N N NmN N N NN N N N湖南大學(xué)機(jī)械與運(yùn)載工程學(xué)院 College of Mechanical amp。 Vehicle Engineering, Hunan University 2021/11/12 ? 求單元質(zhì)量陣的另類方法 –特殊的自然坐標(biāo)系統(tǒng) z x z =Z y i j l k 1 = 4 = 2 = 3 = ? =0 ? =1 ? =1 ? =constant P Q 四面體常應(yīng)變單元 z x z =Z y i j l k 1 = 4 = 2 = 3 = ? =0 ? =0 ? =1 ? =constant P z x z =Z y i j l k 1 = 4 = 2 = 3 = ? =1 ? =1 ? =1 ? =0 ? = constant P Q R 湖南大學(xué)機(jī)械與運(yùn)載工程學(xué)院 College of Mechanical amp。 Vehicle Engineering, Hunan University 2021/11/12 四面體常應(yīng)變單元 ? 剛度和質(zhì)量陣 eTTeeV d V V???k B c B B c B1 1 1 2 1 3 1 42 1 2 2 2 3 2 43 1 3 2 3 3 3 44 1 4 2 4 3 4 4ddeeTeVVVV??????????????N N N NN N N Nm N NN N N NN N N N???????????jijijiijNNNNNN000000N湖南大學(xué)機(jī)械與運(yùn)載工程學(xué)院 College of Mechanical amp。 Vehicle Engineering, Hunan University 2021/11/12 四面體常應(yīng)變單元 ? 形函數(shù) ??????????????lkjilkjilkjizzzzyyyyxxxxV 1111 d e t61 四面體體積 )(6 1 zdycxbaVLN iiiiii ?????湖南大學(xué)機(jī)械與運(yùn)載工程學(xué)院 College of Mechanical amp。 Vehicle Engineering, Hunan University 2021/11/12 四面體常應(yīng)變單元 ? 形函數(shù) ????j k liLi n o d e s r e m o t e t h ea t t h e 0 n o d e h o m e a t t h e 1443322114433221144332211 zLzLzLzLzyLyLyLyLyxLxLxLxLx????????????(Delta 條件 ) 1 4321 ???? LLLL?????????????????????
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