Varying Winkler foundation problem
Varying Winkler foundation problem
(OP)
Hi,
The following is the differential equation for a beam on a varying-stiffness elastic foundation. Essentially the beam sits on a cantilever, whose stiffness varies to the third power with length. Does anybody know how to solve such an equation as a closed form solution (if possible)?
E*I*y(x)''''+k*y(x)/x^3=0
where k is a constant.
The following is the differential equation for a beam on a varying-stiffness elastic foundation. Essentially the beam sits on a cantilever, whose stiffness varies to the third power with length. Does anybody know how to solve such an equation as a closed form solution (if possible)?
E*I*y(x)''''+k*y(x)/x^3=0
where k is a constant.





RE: Varying Winkler foundation problem
See thread507-321520: Help with differential equation in Structural Engineering forum.
RE: Varying Winkler foundation problem