Vibration Analysis of Plates by the Superposition Method (Series on Stability, Vibration & Control of Systems): 3 (Series On Stability, Vibration And Control Of Systems, Series A) - Hardcover

Gorman, Daniel J

Hardcover

ISBN 10: 9810236816 ISBN 13: 9789810236816

Publisher: World Scientific Publishing Co Pte Ltd, 1999

Synopsis

The elegance and logic of the superposition method have made it a highly attractive analytical procedure for obtaining accurate mathematical solutions to plate vibration problems. Its applicability to vast families of these problems, ranging from the dynamic behaviour of isotropic and orthotropic plates to laminated plate behaviour, is well demonstrated in the technical literature.Now, at last, a comprehensive book is made available to those who wish to use this powerful analytical technique. Beginning with a thorough and lucid introduction to the superposition method as it applies to free vibration of thin isotropic rectangular plates, with all combinations of classical boundary conditions, the book describes procedures for handling vast families of realistic practical plate vibration problems. These include orthotropic plates, point-supported plates, plates resting on elastic edge supports, plates with in-plane forces, buckling of plates, etc. The reader is subsequently introduced to utilization of the superposition method for the analysis of thick Mindlin plates as well as transverse-shear-deformable laminated plates. Particular emphasis is placed on plate free vibration analysis, with a list of pertinent publications attached to each chapter.The superposition method is unique in that all solutions obtained satisfy the governing differential equations exactly throughout the entire domain of the plate. The boundary conditions are satisfied to any desired degree of accuracy.Despite the attractive features of this analytical method, many researchers and designers have access only to published papers related to particular problems. With this new book, they have for the first time a comprehensive, illustrated description of the means of exploiting the superposition method. They will be able to prepare their own computer schemes and analyse any plate vibration problem of interest.

About this title

Review

"' definitely succeeds in its objective of making the 'method available to all potential users in the field of mechanical vibrations' and it is recommended for purchase by engineering libraries and all engineers who wish to use or evaluate the use of the superposition method." Appl. Mech. Rev., 2000

Synopsis

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.

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 1999
• Language: English
• ISBN 10: 9810236816
• ISBN 13: 9789810236816
• Binding: Hardcover
• Number of pages: 384