一個(gè)固體力學(xué)的仿真計(jì)算

潑墨

. E1 S/ b& u/ g6 {& i! Y8 W' a% {% ]Two metallic beams a  and  c are fixed to a block as shown below. Both beam a  and beam  c  remain perpendicular
to block  b  at the connecting points. Beam  a  is attached to a wall and it remains perpendicular to the wall at the
other end. Beam c is passed through a hole in the wall. Direction of the hole is perpendicular to the wall surface.   
Related 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
0 B+ h/ u/ ?  a" M% hstraight.  
! h3 K1 S$ o9 ?Neglect gravity. Assume a perfect linear relationship between stress  and strain for beams  a  and c . Neglect axial
" V: _  N0 J, f# ~+ T6 Relongation or compression of beams  a  and  c .  
6 I* R- u: `! VUsing 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.   
Use Matlab to implement your derivations and plot the deflected shapes of beams a  and  c  in a figure. You should
9 v) k) i9 `1 G# m, b3 l2 m% G2 Ialso plot block  b at the desired position. Please make sure your plot has a correct X-Y scale so that the figure
5 g" d; h; h+ N: \% Ilooks realistic.
: [, P) A: ?% G9 o9 T) FPlease also compare how close the deflected shapes of beams  a  and  c  are to circular arcs, by drawing circular arcs
$ y* G; L1 `" l" A, zwhich pass through the two ends of beams a  and c . The circular arcs should also be perpendicular to the wall
surface at one end.

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(méi)出來(lái)
) O% V# S( `$ X/ U% s有大俠有好的方法么。。,。,。。

茉莉素馨

這個(gè)沒(méi)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
這個(gè)沒(méi)有人會(huì)回的,，樓主放棄吧

同馬克

成形極限

樓主這是在國(guó)外深造�,。�

成形極限

老實(shí)說(shuō),，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

應(yīng)該B的重力影響比較大吧

liushaobo1989

求變形嗎,？可以使用有限元？

16443

B看成剛性體
) r# q/ Z) |! V% t或略a和c的軸向變形
根據(jù)撓度方程聯(lián)列a和c的變形方程