We analyze the in-plane natural vibration of a stepped disk by the FEM using 1-dimensional annular plate element of which the elementary mass matrix and stiffness matrix are derived, respectively, from the virtual work by effective forces and the virt...
We analyze the in-plane natural vibration of a stepped disk by the FEM using 1-dimensional annular plate element of which the elementary mass matrix and stiffness matrix are derived, respectively, from the virtual work by effective forces and the virtual strain energy by using the static deformation modes obtained from an integration of the differential equilibrium equations of the annular plate element as interpolation functions. The in-plane natural vibration characteristics of a full disk of two-step thickness are analysed. By comparing its results with the results obtained by utilizing 2-dimensional 8-node quadrilateral plane elements and cyclic symmetry of the disk, the efficiency and accuracy of the 1-dimensional annular plate element are verified.