Elasticity problem to find displacements

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ozgun sen
ozgun sen 2018-1-7
评论： ozgun sen 2018-1-7
Hello all I have an elasticity problem. Strains (ex ey ez ) are defined as symbolic below. And I have u v z which is the general displacement field depends on x y z like u(x y z)... according to elasticity strain and displacemnt relations; ex=diff(u,x), ey=diff(v,y) , ez=diff(w,z), exy=1/2(diff(u,y)+diff(v,x) exz=1/2(diff(u,z)+diff(w,x) , eyz=1/2(diff(y,z)+diff(w,z). So I need to find u v and w as symbolic from ex ey and ez, exy eyz exz. I tried dsolve but gave error
ez =
(g*ro*z)/E
>> ex=-(v*g*ro*z)/E
ex =
-(g*ro*v*z)/E
>> ey=ex
ey =
-(g*ro*v*z)/E
>> exy=0
exy =
0
eyz =
0
exz =
0
>> eq=[diff(u,x)==ex ; diff(v,y)==ey ; diff(w,z)==ez]
>> dsolve(eq) Error using symfun/subsref (line 141) Symbolic function expected 3 inputs and received 1.
  2 个评论
Tamir Suliman
Tamir Suliman 2018-1-7
Can you please format and explain your question to better help ? and if you could also provide the logic and the equations used.
ozgun sen
ozgun sen 2018-1-7
e=1/2(∇u+∇uT) So I have e and try to find u

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