一個(gè)固體力學(xué)的仿真計(jì)算

潑墨

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Two metallic beams a  and  c are fixed to a block as shown below. Both beam a  and beam  c  remain perpendicular
: r% L& S$ J0 \/ {6 W3 Oto block  b  at the connecting points. Beam  a  is attached to a wall and it remains perpendicular to the wall at the
, B) Y4 i4 C1 X% @/ jother end. Beam c is passed through a hole in the wall. Direction of the hole is perpendicular to the wall surface.   
5 [1 O9 j" O% K( c8 x( C3 ~; ]7 ~! J. MRelated dimensions are shown on the diagram. The diagram is in millimeter. Beams  a  and c  have a circular
cross-section with a diameter of 0.7mm. The Young’s modulus is 70 GPa. Both beam a  and beam  c  are initially
$ T5 e# O4 g! @' e6 g9 ?  C- y0 P" }straight.  
7 [1 v' i, O# J+ MNeglect gravity. Assume a perfect linear relationship between stress  and strain for beams  a  and c . Neglect axial
) d: ^7 c6 }" v5 Q: m0 e, X+ kelongation or compression of beams  a  and  c .  
" u* q$ b; W. z; {) _1 T3 \  `: _Using elliptic integrals, derive relevant entities to predict the final shapes of beams a  and  c  when beam c  is pulled
for 10 mm in the indicated direction.   
; R, @/ H3 t9 Y7 Q% QUse Matlab to implement your derivations and plot the deflected shapes of beams a  and  c  in a figure. You should
, K. j2 c1 k* A' H7 K5 ralso plot block  b at the desired position. Please make sure your plot has a correct X-Y scale so that the figure
looks realistic.
: y( i- r: }7 K% d3 gPlease also compare how close the deflected shapes of beams  a  and  c  are to circular arcs, by drawing circular arcs
# g/ X8 @! f- o/ Gwhich pass through the two ends of beams a  and c . The circular arcs should also be perpendicular to the wall
6 V2 a0 d3 `9 Y; I4 h* z( `: E+ R( asurface at one end.
, U* H2 D8 ~: U

潑墨

大概有10個(gè)以上的未知數(shù)和方程，但是含有數(shù)個(gè)超越方程，用matlab做仿真一直沒出來
有大俠有好的方法么。。。。。

茉莉素馨

這個(gè)沒有人會(huì)回的，樓主放棄吧

wolalala12

茉莉素馨 發(fā)表于 2013-12-19 20:42
: N' m# x% o3 X' z4 n4 x1 b1 P% G6 h這個(gè)沒有人會(huì)回的，樓主放棄吧

同馬克
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成形極限

樓主這是在國(guó)外深造啊？

成形極限

老實(shí)說，我不會(huì)做，看了下題目，估計(jì)了下，估摸著是這種形狀，哈哈

2 R0 G1 ?9 x; |3 D應(yīng)該B的重力影響比較大吧
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liushaobo1989

求變形嗎？可以使用有限元？

16443

B看成剛性體
或略a和c的軸向變形
% E! y8 J# n( Y根據(jù)撓度方程聯(lián)列a和c的變形方程