* S1 V5 Q" u. W5 c, u# mTwo metallic beams a and c are fixed to a block as shown below. Both beam a and beam c remain perpendicular 1 ?3 `2 B' e1 ?7 R7 z6 q8 Z7 pto block b at the connecting points. Beam a is attached to a wall and it remains perpendicular to the wall at the 2 X9 x8 O6 y- @' Y+ C
other end. Beam c is passed through a hole in the wall. Direction of the hole is perpendicular to the wall surface. 5 c6 t R+ _0 i
Related dimensions are shown on the diagram. The diagram is in millimeter. Beams a and c have a circular 6 [" k: J. |4 E+ [" Q0 lcross-section with a diameter of 0.7mm. The Young’s modulus is 70 GPa. Both beam a and beam c are initially ) E# w3 M' \9 [8 J- j( R2 wstraight. 6 K- j: C; k- s# M4 ^
Neglect gravity. Assume a perfect linear relationship between stress and strain for beams a and c . Neglect axial - t* r0 ?7 K4 _( Q t! d* R1 D
elongation or compression of beams a and c . ) R! _$ ^7 w7 x- x% k
Using elliptic integrals, derive relevant entities to predict the final shapes of beams a and c when beam c is pulled - N7 C" Y1 r$ Z- O3 j8 [
for 10 mm in the indicated direction. 3 s( [5 E D; NUse Matlab to implement your derivations and plot the deflected shapes of beams a and c in a figure. You should - l; Y8 c$ ^' Y0 k" @" i9 X# u
also plot block b at the desired position. Please make sure your plot has a correct X-Y scale so that the figure : R( ^; K! a" o6 olooks realistic. ' Z3 u2 g; [: [( W+ z8 Q$ Q9 t8 UPlease also compare how close the deflected shapes of beams a and c are to circular arcs, by drawing circular arcs 1 P W2 X' p# j0 F+ W7 [which pass through the two ends of beams a and c . The circular arcs should also be perpendicular to the wall 4 M( H/ m! I% L( T# msurface at one end. s* i9 C* q" f0 l! g* A3 M" p[attach]306825[/attach]作者: 泼墨 时间: 2013-12-19 19:25
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( v( T6 @) J8 r, ?! j4 B* U
有大侠有好的方法么。。。。。作者: 茉莉素馨 时间: 2013-12-19 20:42
这个没有人会回的，楼主放弃吧作者: wolalala12 时间: 2013-12-19 21:08
茉莉素馨 发表于 2013-12-19 20:42 ) ?. w. T5 T: S' \% q+ J这个没有人会回的，楼主放弃吧
