| Co-Investigator(Kenkyū-buntansha) |
SATO Sadao Tokyo Denki Univ., Facul.Sci. & Eng., Prof., 理工学部, 教授 (10170747)
HIRATA Masaki Tokyo Metropolitan Univ., Facul.Sci., Assist., 理学研究科, 助手 (70254141)
SUMI Naoya Tokyo Metropolitan Univ., Facul.Sci., Assist., 理学研究科, 助手 (50301411)
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| Research Abstract |
A half line bending beam is fixed by a structural end, what is represented by the 4-th order partial differential equation
θ_tu(t,x)=-θ^4_xu(t,x) t>0,x>0
θ^j_xu(t,0)=0 θ^k_xu(t,0) t>=0 t>0,
where (j,k) is taken from one of such combinations derived from structural ends at x=0 :
(j,k)=(0,1) ; The fixed end, (j,k)=(0,2) ; The pinned end,
(j,k)=(1,3) ; The side end, (j,k)=(2,3) ; The free end
For each (j,k), we constructed the diharmonic pseudo processes {X^<(jk)>(t)} which satisfies a stochastic boundary condition and corresponds to the above equation. Then, we investigated a precise motion of the bending beam, after analyzing behaviors of the corresponding {X^<(jk)>(t)} at the boundary.
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