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[工學(xué)]彈塑性力學(xué)第七章軸的扭轉(zhuǎn)-展示頁(yè)

2025-01-28 11:19本頁(yè)面
  

【正文】 uxvxy ???????zvywyz ???????xwzuzx ???????0?xy?0?x?pzy GIMx??0?y?0?z?pzx GIMy???2. 位移分量: ),(1 zyfu ?),(2 xzfv ?),(3 yxfw ?0),(),( 12 ?????? y zyfx xzfpGIMxzxzfyyxf ?????? ),(),( 23pGIMyxyxfzzyf ??????? ),(),( 31pGIMxzxzfyyxf ?????? ),(),( 23pGIMyxyxfzzyf ??????? ),(),( 310),( 232??? y yxf0),( 232??? x yxfxycycxccyxf 32103 ),( ????zxbxbzbbxzf 32102 ),( ????yzazayaazyf 32101 ),( ????0),(),( 12 ?????? y zyfx xzf0)( 3321 ???? zbabapGIMxxcbcb ???? )(3321pGIMyyacac ????? )(33210 ,0 3321 ???? babapGIMcbcb ????3321 ,0 pGIMacac ?????3321 ,0ppGIMGIMbaccacbba??????????3331221210yzzcybazyfu pGI M????? 1201 ),(ycxccyxfw 2103 ),( ????zxxbzcbxzfv pGI M????? 2202 ),(xyz ccbwcvbua ??? ??????? 212022000 ,????????????????yxwwzxxzvvyzzyuuxyGIMzxGIMyzpp??????000位移分量: 位移條件: ( 1)坐標(biāo)原點(diǎn)固定: ( 2)原點(diǎn)的單元固定: x y z o M t r 0000 ??? wvu????????????????yxwwzxxzvvyzzyuuxyGIMzxGIMyzpp??????000位移分量: ( 1)坐標(biāo)原點(diǎn)固定: 0??? xyz ??? ( 2)原點(diǎn)的單元固定: ? 過(guò)原點(diǎn)沿 z 向的線段在 xoz、 zoy 面內(nèi)不轉(zhuǎn)動(dòng): 0?????? zvzu? 過(guò)原點(diǎn)沿 x 向的線段在 xoy面內(nèi)不轉(zhuǎn)動(dòng): 0???xv剛體位移為零。 rzzGIMrup?? ??0?ru? r x y xytg ??xytg ???A 167。 邊界條件: 0??? zxyxx nml tt?0??? zyyxy nml t?t0??? zyzxz nml ?tt側(cè)面: 0, ???? ndsdxmdsdyl x o dy dx N ds 0?????? xdsdxydsdy ??0?dsd? 1Cs ??xyzyzx????????t?t0?s?側(cè)面邊界條件: 0?s?多連域: 0?es? c o n s tis ??端面: 1,0,0 ???? nml0, ???????????? zzyyzxx FxFyF ?t?t0??Ax dAFx y o y x ? R r Fx Fy M dx dy MdAxFyFAyx ??? )(0??Ay dAF0????Ad xd yy?A B ??? ?????BAAdyydxdxdyy ?? BAdx??? ? ?? ?? dxAB ?????? ??????? dxdyxxdxdyyyM ??dyyydxdxdyyyBA???? ????? ?? ?dydxBA??? ? ? ?????? ?? ?? dyydx BABA ?????? dxdy???? d x dyM ?2二、 應(yīng)變分量: 0???? xyzyx t???? ?? ?xzyy E ????? ??? 1? ?? ?yxzz E ????? ??? 1xyxyxy EG t?t? )1(2 ???? ?? ?zyxx E ????? ??? 1???????????yzyzyz EG t?t? )1(2 ???zxzxzx EG t?t? )1(2 ???0?xy?0?x????????????xGGzyzy ????? ?t? 10?y?0?z?yGGzxzx ???? ?t? 1xyzyzx????????t?txux ????yvy ????zwz ????yuxvxy ???????zvywyz ???????xwzuzx ???????0?xy?0?x?0?y?0?z?三、位移分量: xGzy ???? ?? 1yGzx ??? ?? 1? 不計(jì)剛體位移 ? 為 單位長(zhǎng)度的相對(duì)扭轉(zhuǎn)角 zxvyzu?????rzu ?? ?0?ruzuyGxw???????? ?1zvxGyw????????? ?1w zuyGxw???????? ?1zvxGyw????????? ?1zxvyzu??????? ??????? 222 1 yGyx w?? ???????? 222 1 xGyx w??? Gyx 22222 ????????? G22 ??? C?? ?2?GC 2??GC2???解題步驟: ( 1)確定扭轉(zhuǎn)應(yīng)力函數(shù): ( 2)確定
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