Vibration Analysis of Plates by the Superposition Method (Series on Stability, Vibration and Control of Systems Series a, Volume 3)

The superposition method makes a highly attractive analytical procedure for obtaining accurate mathematical solutions to plate vibration problems. This textbook aims to provide a powerful analytical technique. It begins with a thorough introduction to the superposition method as it applies to free vibration of thin isotopic rectangular plates, and describes procedures for handling vast families of realistic practical plate vibration problems. These include orthotropic plates, point-supported plates and plates with in-plane forces. The reader is subsequently introduced to utilization of the superposition method for the analysis of thick Mindlin plates as well as transverse-sheer-deformable laminated plates. Particular emphasis is placed on plate free vibration analysis, with a list of pertinent publications attached to each chapter. The text aims to provide a comprehensive, illustrated description of the means of exploiting the superposition method and to provide readers with the ability to prepare their own computer schemes and analyze any plate vibration problem on interest.