Technical Paper
Medium and High-Frequency Vibration Analysis of Thin Plates by a Hybrid Distributed Transfer Function Method
2021-08-31
2021-01-1052
Vibrations of plates are widely seen in various applications of automobile, aerospace, mechanical and civil engineering. Vibration analysis of plates in medium and high-frequency regions plays an important role in optimal design and safe operation of machines and structures in these applications. Medium and high-frequency vibration analysis of plates is usually performed by using numerical methods. Proposed in this paper is a new analytical solution method for mid- and high-frequency analysis of thin rectangular plates modeled by the Kirchhoff-Love plate theory. In the development, analytical solutions for a class of thin plates are obtained based on a hybrid formulation that combines the Distributed Transfer Function Method (DTFM) and modal expansion. The proposed method, which is an extension of the DTFM for one-dimensional continua, is called the hybrid Distributed Transfer Function Method (hybrid DTFM).