円形彈性板の強制振動 (第2報)
1955 年 1955 巻 77 号 p. 99-114
詳細
1955 年 1955 巻 77 号 p. 99-114
In this article, we investigated the forced vibrations of clamped elastic circular plates under any eccentric forces, and the behaviours of elastic shock waves transmitted in the plates due to any eccentric shocks.
We solved the problem by means of the forces or shocks expanded in the normal functions with the initial conditions; w=0, dw/dt=0 at t=0. As the particular cases, the distribution of forces or shocks were (i) uniform in the circle with radius a0 and eccentricity ε.
(ii) concentrated at the point having eccentricity ε.
and their time factor were
(i) t/β for 0≤t≤β, 2β-t/β for β≤t≤2β,
0 for t≥2β or t≤0 (single trigonometric shock)
(ii) e-ptsin(ωt-mk) for mk≤t≤mk+π/ω
0 for mk+π/ω≤t≤(m+1)k
(continous shock)
(iii) sinωt
Thus we had the deflection of the plate and the bending moment at any time.
