| Author | : Raymond David Mindlin |
| File Size | : 55,5 Mb |
| Publisher | : World Scientific |
| Language | : English |
| Release Date | : 19 May 2024 |
| ISBN | : 9789812703811 |
| Pages | : 211 pages |
An Introduction to the Mathematical Theory of Vibrations of Elastic Plates by Raymond David Mindlin Book PDF Summary
This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.