一个固体力学的仿真计算

泼墨

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
0 ^( t$ n0 U: O: C, w* d% zcross-section with a diameter of 0.7mm. The Young’s modulus is 70 GPa. Both beam a  and beam  c  are initially
straight.  
Neglect gravity. Assume a perfect linear relationship between stress  and strain for beams  a  and c . Neglect axial
" S' j; h" S8 a) O% Helongation or compression of beams  a  and  c .  
( b6 M4 Q) a6 n- A5 \7 }Using elliptic integrals, derive relevant entities to predict the final shapes of beams a  and  c  when beam c  is pulled
  [$ g( N! P+ {* pfor 10 mm in the indicated direction.   
5 D" d8 z3 [5 _6 y% DUse 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
' ~* N! T' [! Blooks realistic.
Please also compare how close the deflected shapes of beams  a  and  c  are to circular arcs, by drawing circular arcs
8 u: ]' @0 d. G: z& O8 gwhich pass through the two ends of beams a  and c . The circular arcs should also be perpendicular to the wall
surface at one end.

16443

B看成刚性体
) A9 I: r# I" F% M或略a和c的轴向变形
! ?3 U1 ^" |) M; l# {根据挠度方程联列a和c的变形方程

liushaobo1989

求变形吗？可以使用有限元？

成形极限

老实说，我不会做，看了下题目，估计了下，估摸着是这种形状，哈哈

5 \) g+ y: {, g6 X. R$ z应该B的重力影响比较大吧

成形极限

楼主这是在国外深造啊？

wolalala12

茉莉素馨 发表于 2013-12-19 20:42
* M2 L8 u$ d) ]- b; B+ Z3 V这个没有人会回的，楼主放弃吧

同马克
' A( ^+ E7 w/ ]* @" S

茉莉素馨

这个没有人会回的，楼主放弃吧

泼墨

大概有10个以上的未知数和方程，但是含有数个超越方程，用matlab做仿真一直没出来
4 Z5 G; C& G) u有大侠有好的方法么。。。。。