剛性率の空間的不規則変動によるせん断梁の確率的応答

概要

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Stochastic response of a random shear beam with viscous damping is theoretically investigated by the use of a spatially random differential equation. First, a partial differential equation describing the spatial-temporal variation of the shear response of the beam is randomized by taking into account the spatially random variation of its shear modulus, which is mathematically modeled as a homogeneous random field. Next, its stationary solution with boundary conditions is formulated by introducing a random differential equation for a transfer matrix. Further, an approximate solution is derived by the use of a perturbation technique. Finally, probabilistic properties associated with the maximum response are numerically examined. The numerical result shows that the variance of the maximum response near the resonance frequency is reduced owing to the effect of random mode coupling.
一般社団法人日本機械学会の論文
2000-07-25