弹性体与气体耦联振动的特征值

EIGENVALUE OF THE COUPLING VIBRATION OF ELASTIC BODY WITH GAS

讨论了弹性体与气体耦联振动的特征值问题，得到耦合问题的特征值摄动方程的相容性条件和单特征值的渐近展开式，并讨论了系统特征值对气体小密度参数的解析性，从而对特征值按小参数展开的合理性提供了依据。

This paper has investigated the coupling vibration eigenvalue problem of gas and elasticbody.The compatibility condition of the eigenvalue perturbation equation derived from thecoupling problem,and the asymptotic expansion of simple eigenvalue have been obtained.Inaddition,to give reasons for the perturbation expansion,the holomorphic property of thissystem with respect to gas density parameter has been discussed.