一個固體力學的仿真計算

潑墨

Two metallic beams a  and  c are fixed to a block as shown below. Both beam a  and beam  c  remain perpendicular
2 j  i6 m% K6 G! Bto 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.   
# U- |5 B- l& M" c4 i. p2 d3 i  oRelated 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
straight.  
( \' O& u4 ~2 K% w( c& l2 j' K+ kNeglect gravity. Assume a perfect linear relationship between stress  and strain for beams  a  and c . Neglect axial
& s( P$ i/ K. P4 ~; Melongation or compression of beams  a  and  c .  
Using elliptic integrals, derive relevant entities to predict the final shapes of beams a  and  c  when beam c  is pulled
2 |4 Q4 v- v7 T' L5 Sfor 10 mm in the indicated direction.   
& A: T  R7 i; ?Use Matlab to implement your derivations and plot the deflected shapes of beams a  and  c  in a figure. You should
also plot block  b at the desired position. Please make sure your plot has a correct X-Y scale so that the figure
; H4 A3 T. a9 Q; {+ A" xlooks realistic.
5 f1 E( {4 C" @% OPlease also compare how close the deflected shapes of beams  a  and  c  are to circular arcs, by drawing circular arcs
which 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個以上的未知數和方程，但是含有數個超越方程，用matlab做仿真一直沒出來
9 I7 }1 N! J& A) }% X6 Q" J0 u有大俠有好的方法么。。。。。

茉莉素馨

這個沒有人會回的，樓主放棄吧

wolalala12

茉莉素馨 發表于 2013-12-19 20:42
這個沒有人會回的，樓主放棄吧

同馬克
- Z+ `/ A4 @% G7 t# p

成形極限

樓主這是在國外深造啊？

成形極限

老實說，我不會做，看了下題目，估計了下，估摸著是這種形狀，哈哈

4 _( v; \$ f- d; _應該B的重力影響比較大吧

* G3 j# p5 f& [7 E

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
, p9 _1 ?; Z) j1 ~6 [1 S( c) v根據撓度方程聯列a和c的變形方程