Abstract
In this work, the Fredholm integral equation of the second kind with logarithmic kernel is established from dynamic elastic problem. Such problem appears, for example, when a stamp of length 2
a is impressed into the boundary of a strip
y=
h by a variable force
P(
t) with time
t∈[0,
T],
T<∞. Also the strip, without fraction, lies on a rigid elastic layer of thickness
H. The solution of the integral equation is obtained using Chebyshev polynomial. A numerical result is obtained for the problem.