ABSTRACT
Green's function wo for an unbounded plate on subgrade in the con ception of a dynamic influence function of the deflection for stationary time courses is the solution of the equation
K% K\ kdgh d2w0 1 6(r) c , λ _
where 6(r), 6(t) are Dirac's generalized functions. By using Hankel's integral transformation and Fourier's integral transformation we obtain Green's function in the form
w0(r, t) - 3 ( 1 - M 2 ) i
i«) J Hf\lir) - Hf\l2r) 2ΕΗΘ(1 +
i f 7 i ) 72, θ are given by the equations (6.5) — (6.7)
(8.2)
A non-linear deflection may be established by the solution of a differ ential equation of motion in the form
π 4 ~ Ki kaQh ρ(ήβ^' K*4 , V 4 w - - ^ V 2 w + — + — - = ^ - -=rw 3 . (8.3) D* D* D* dt2 D* D* v '
We suppose, then, a harmonically variable normal load with frequency
. Τ ι Μ 72 0 ω)
i f the integral is considered as a generalized function then equation (8.12) becomes
w = wL e'^' + ίωι( , Κ*46(1-μ2) f K ( 7 i r ) wJM
In the following iteration step equation (8.14) wil l be used and by substituting it into (8.10) the second approximation will be obtai ned.
