This is an introduction to the mathematical basis of finite element analysis as applied to vibrating systems. Finite element analysis is a technique that is very important in modeling the response of structures to dynamic loads. Although this book assumes no previous knowledge of finite element methods, those who do have knowledge will still find the book to be useful. It can be utilised by aeronautical, civil, mechanical, and structural engineers as well as naval architects. This second edition includes information on the many developments that have taken place over the last twenty years. Existing chapters have been expanded where necessary, and three new chapters have been included that discuss the vibration of shells and multi-layered elements and provide an introduction to the hierarchical finite element method.
Maurice Petyt is an Emeritus Professor of Structural Dynamics, Institute of Sound and Vibration Research, University of Southampton. He has also held appointments as a Research Professor at George Washington University and Visiting Professor at the University d'Aix-Marseille II, France, and the National University of Singapore. He is a Charted Mathematician, a Fellow of the Institute of Mathematics and its Applications, a Fellow of the International Institute of Acoustics and Vibration, and a Fellow of the Institute of Acoustics. Formerly European Editor and Editor-in-Chief, he is now Editor Emeritus of the Journal of Sound and Vibration.
1. Formulation of the equations of motion; 2. Element energy functions; 3. Introduction to the finite element displacement method; 4. In-plane vibration of plates; 5. Vibration of solids; 6. Flexural vibration of plates; 7. Vibration of stiffened plates and folded plate structures; 8. Vibration of shells; 9. Vibration of laminated plates and shells; 10. Hierarchical finite element method; 11. Analysis of free vibration; 12. Forced response; 13. Forced response II; 14. Computer analysis technique.