標(biāo)題: 一個固體力學(xué)的仿真計算 [打印本頁] 作者: 潑墨 時間: 2013-12-19 19:22 標(biāo)題: 一個固體力學(xué)的仿真計算 本帖最后由 潑墨 于 2013-12-19 19:24 編輯 / V, j0 t3 B" n4 i) q. I / z' C7 A# D& O0 Y! f8 E) \, ]& ?Two metallic beams a and c are fixed to a block as shown below. Both beam a and beam c remain perpendicular 5 B* I* L- o5 q; M% f% jto block b at the connecting points. Beam a is attached to a wall and it remains perpendicular to the wall at the 5 E9 C# l0 s! t! G. g
other end. Beam c is passed through a hole in the wall. Direction of the hole is perpendicular to the wall surface. ; j J( t" F+ W% A: W8 j0 x* ~# F
Related dimensions are shown on the diagram. The diagram is in millimeter. Beams a and c have a circular ( R/ \5 O2 Y) }, Y# k2 D# h
cross-section with a diameter of 0.7mm. The Young’s modulus is 70 GPa. Both beam a and beam c are initially 2 B, l( l) {( S n+ J: R$ h
straight. ( `- V, Y2 m/ o, y7 H7 k
Neglect gravity. Assume a perfect linear relationship between stress and strain for beams a and c . Neglect axial # W5 l H$ y/ k6 eelongation or compression of beams a and c . ) P9 Z: o, f" j4 m4 A. \. a! Q
Using elliptic integrals, derive relevant entities to predict the final shapes of beams a and c when beam c is pulled * d* r, F4 E. z; X' o- Z8 j
for 10 mm in the indicated direction. 1 E5 C( ~, E8 M# ~) O8 p/ b3 B# o7 YUse Matlab to implement your derivations and plot the deflected shapes of beams a and c in a figure. You should 3 i+ z+ a* h, z7 U+ Z$ a0 C
also plot block b at the desired position. Please make sure your plot has a correct X-Y scale so that the figure 2 E2 l6 n, Y& m$ Y) Y2 {
looks realistic. - a3 K( ~$ @# n# K! ~4 y; l5 gPlease also compare how close the deflected shapes of beams a and c are to circular arcs, by drawing circular arcs & ~4 ]% w2 _4 T: Q- G" y8 D+ r' V
which pass through the two ends of beams a and c . The circular arcs should also be perpendicular to the wall $ N* E! M8 w/ @" Q
surface at one end. - H: l. e) E* G9 v5 O+ @$ E
[attach]306825[/attach]作者: 潑墨 時間: 2013-12-19 19:25
大概有10個以上的未知數(shù)和方程，但是含有數(shù)個超越方程，用matlab做仿真一直沒出來 % j8 T4 t+ T7 U7 G4 a有大俠有好的方法么。。。。。作者: 茉莉素馨 時間: 2013-12-19 20:42
這個沒有人會回的，樓主放棄吧作者: wolalala12 時間: 2013-12-19 21:08
