4th order differential equation

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Ahmed Al Jasar
Ahmed Al Jasar il 31 Ott 2018
Commentato: madhan ravi il 31 Ott 2018
Hello, Can anyone help me with solving below?
EI(d^4v/dx^4) = w
Boundary conditions are
v(x=0) = 0 ; v(x=L)= 0; dv/dx(x=0) = 0 ; dv/dx(x=L) = 0
  2 Commenti
madhan ravi
madhan ravi il 31 Ott 2018
Modificato: madhan ravi il 31 Ott 2018
whats EI? upload the question in latex form
Stephan
Stephan il 31 Ott 2018
EI usually represents the stiffness matrix

Accedi per commentare.

Risposta accettata

madhan ravi
madhan ravi il 31 Ott 2018
Modificato: madhan ravi il 31 Ott 2018
syms y(x) w EI L
c1=y(0)==0
y1 = diff(y,x)
c2=y1(0)==0
c3=y(L)==0
c4=y1(L)==0
y(x)=dsolve(diff(y,x,4)==w/EI,c1,c2,c3,c4)

Più risposte (1)

Ahmed Al Jasar
Ahmed Al Jasar il 31 Ott 2018
y''''=w/EI, y(0)=0, y'(0)=0 ,y(L)=0, y'(L)=0
I am trying to find a deflection in a beam y(x), which is dependent on the load(w) and the stiffness (EI), E and I are constant so I guess I need to do all of them symbolic!

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