A dynamic stiffness method is proposed for bending vibrations of completely free plates derived from improved Gorman superposition method. Instead of decomposing vibration modes into symmetry and anti-symmetry scenarios, only two building blocks are utilized to construct the general solutions for the dynamic responses of plates. The ensuing dynamic stiffness formulations are established by use of projection method. Natural frequencies and dynamic responses can be obtained by the proposed method and validated against the results available in the literature and the finite element analysis. It can be found that the proposed method possesses high efficiency and accurate performance.
Associate Professor, Rose-Hulman Institute of Technology
Professional interests include undergraduate engineering education, finite element modeling, ground-borne vibrations, vibrations of musical instruments, and dynamics of toys.
