二つの流れを水平に仕切る弾性板に生ずる有限振幅波

概要

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Nonlinear waves on a thin elastic plate horizontally separating an upper flulid stream and a lower one are analysed theoretically. The lower stream is denser. The elastic plate is governed by the equation for large deflections including the in-plane forces due to the longitudinal deformations of the plate. Two fluid streams are assumed to be incompressible and inviscid, but on the elastic plate the balance of the normal component of force is expressed by taking the viscous stress into account. Some progressive waves of finite amplitude are found on the elastic thin plate. The nonlinear elevation of the elastic plate is obtained keeping up to the third order approximation in the wave amplitude. The unsteady amplitude of waves tend to a finite limit after a long time under the action of the viscosity of the fluid.
社団法人日本機械学会の論文
1985-07-25