Vibrations in Heterogeneous Elastic Plates
Author | : Peng-Chih Yang |
Publisher | : |
Total Pages | : 93 |
Release | : 1962 |
Genre | : Elastic plates and shells |
ISBN | : |
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Author | : Peng-Chih Yang |
Publisher | : |
Total Pages | : 93 |
Release | : 1962 |
Genre | : Elastic plates and shells |
ISBN | : |
Author | : Peng-Chih Constance Yang |
Publisher | : |
Total Pages | : 93 |
Release | : 1962 |
Genre | : Elastic plates and shells |
ISBN | : |
A two-dimensional heterogeneous dynamic plate theory was deduced from the three-dimensional dynamic equations of elasticity. The heterogeneity of the material was considered to be only along the thickness coordinate of the plate. Approximations of shear deformations and of rotary inertia were included. A tenth order differential equation was derived. Five boundary conditions and proper initial conditions were obtained to insure an unique solution. It was recognized that the fact of coupling between stretching and bending in the heterogeneous plate led to this higher order (tenth) differential equation. The heterogeneous plate theory was specialized to cases of symmetrically laminated aeolotropic, orthotropic and isotropic plates respectively. A heterogeneous plate theory neglecting shear deformations was also deduced from the three-dimensional dynamic equation of elasticity. It was shown that the method of solving the forced vibration of a homogeneous plate of finite length could be extended to a heterogeneous plate. (Author).
Author | : Raymond David Mindlin |
Publisher | : World Scientific |
Total Pages | : 211 |
Release | : 2006 |
Genre | : Technology & Engineering |
ISBN | : 9812703810 |
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.
Author | : Arthur W. Leissa |
Publisher | : |
Total Pages | : 380 |
Release | : 1969 |
Genre | : Plates (Engineering) |
ISBN | : |
Author | : Yi-Yuan Yu |
Publisher | : Springer Science & Business Media |
Total Pages | : 234 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461223385 |
This book is based on my experiences as a teacher and as a researcher for more than four decades. When I started teaching in the early 1950s, I became interested in the vibrations of plates and shells. Soon after I joined the Polytechnic Institute of Brooklyn as a professor, I began working busily on my research in vibrations of sandwich and layered plates and shells, and then teaching a graduate course on the same subject. Although I tried to put together my lecture notes into a book, I never finished it. Many years later, I came to the New Jersey Institute of Technology as the dean of engineering. When I went back to teaching and looked for some research areas to work on, I came upon laminated composites and piezoelectric layers, which appeared to be natural extensions of sandwiches. Working on these for the last several years has brought me a great deal of joy, since I still am able to find my work relevant. At least I can claim that I still am pursuing life-long learning as it is advocated by educators all over the country. This book is based on the research results I accumulated during these two periods of my work, the first on vibrations and dynamical model ing of sandwiches, and the second on laminated composites and piezoelec tric layers.
Author | : Jiashi Yang |
Publisher | : World Scientific |
Total Pages | : 211 |
Release | : 2006-12-29 |
Genre | : Technology & Engineering |
ISBN | : 9814476544 |
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.
Author | : Girish Kumar Agrawal |
Publisher | : |
Total Pages | : 346 |
Release | : 1970 |
Genre | : Elasticity |
ISBN | : |
Author | : United States. National Aeronautics and Space Administration |
Publisher | : |
Total Pages | : 1556 |
Release | : 1962 |
Genre | : Aeronautics |
ISBN | : |
Author | : Herbert Kolsky |
Publisher | : Courier Corporation |
Total Pages | : 226 |
Release | : 1963-01-01 |
Genre | : Technology & Engineering |
ISBN | : 0486610985 |
The most readable survey of the theoretical core of current knowledge available. The author gives a concise account of the classical theory necessary to an understanding of the subject and considers how this theory has been extended to solids.
Author | : Sergey D. Algazin |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 234 |
Release | : 2014-12-11 |
Genre | : Science |
ISBN | : 3110338378 |
Back-action of aerodynamics onto structures such as wings cause vibrations and may resonantly couple to them, thus causing instabilities (flutter) and endangering the whole structure. By careful choices of geometry, materials and damping mechanisms, hazardous effects on wind engines, planes, turbines and cars can be avoided. Besides an introduction into the problem of flutter, new formulations of flutter problems are given as well as a treatise of supersonic flutter and of a whole range of mechanical effects. Numerical and analytical methods to study them are developed and applied to the analysis of new classes of flutter problems for plates and shallow shells of arbitrary plane form. Specific problems discussed in the book in the context of numerical simulations are supplemented by Fortran code examples (available on the website).