无限水域中孤立悬臂板的自由振动

Natural Vibration of a Cantilever Plate in Infinite Water

本文内容包括：（１）把求解无限水域中孤立悬臂板的振动问题转化为求解水体对板振动的影响，给出了本征值与本征函数摄动量的表达式；（２）利用一个特殊变换求解了规定条件下的附加质量；（３）给出了非淹没板在不计及水面波动时正对称第一、二自振频率的计算结果。

in this peper the problem of natural vibration of a cantilever plate in infinite water is solved. Firstly,theProblem is transformed into researching the effect of water on the Plate vibration with Perturbation method,the Pelturbetionexptessions of eigenvaiues and modes are given Secibdkty,a transformation is utilized fot obtaining the representation ofadded mass correspollding to the fluid motion caused by plate vibration.At last, the resultS of a numerical example aredescrubed and compared wital the comaaed with that Of experiments.