The governing equations of the free vibrations of spherical and cylindrical shellswith a regular singularity. are solved by Frobenius Series Method in the form ofmatrix. Considering the relationship of the roots of th...The governing equations of the free vibrations of spherical and cylindrical shellswith a regular singularity. are solved by Frobenius Series Method in the form ofmatrix. Considering the relationship of the roots of the indicial equation, we get somevarious expressions of solutions according to different cases. This work lays afoundation of solving certain elastic problems by analytical method.展开更多
文摘The governing equations of the free vibrations of spherical and cylindrical shellswith a regular singularity. are solved by Frobenius Series Method in the form ofmatrix. Considering the relationship of the roots of the indicial equation, we get somevarious expressions of solutions according to different cases. This work lays afoundation of solving certain elastic problems by analytical method.
