Inverse Mode Problem in the Discrete Model of Circular Plate Axial Symmetry Vibration
Using the second-order center difference scheme, the difference discrete model of axial symmetry vibration of a circular plate with arbitrary supports was established. In this paper, the stiffness matrix of the discrete model is proved as a sign-oscillation matrix, obtaining the qualitative properties of the axial symmetry vibration of the system. Furthermore, the inverse mode problem was raised and solved. Three examples of the numerical computation were also given in the paper.
Shengyi Li, Yingchun Liu, Rongbo Zhu, Hongguang Li, Wensi Ding
Q. S. Wang et al., "Inverse Mode Problem in the Discrete Model of Circular Plate Axial Symmetry Vibration", Applied Mechanics and Materials, Vols. 34-35, pp. 71-78, 2010