Vibrations Of Elastic Plates

Author : Yi-Yuan Yu
Publisher : Springer Science & Business Media
ISBN 13 : 1461223385
Total Pages : 234 pages
Book Rating : 4.82/5 ( download)

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Download or read book Vibrations of Elastic Plates written by Yi-Yuan Yu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Raymond David Mindlin
Publisher : World Scientific
ISBN 13 : 9812703810
Total Pages : 211 pages
Book Rating : 4.11/5 ( download)

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Download or read book An Introduction to the Mathematical Theory of Vibrations of Elastic Plates written by Raymond David Mindlin and published by World Scientific. This book was released on 2006 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Edward B. Magrab
Publisher : Springer Science & Business Media
ISBN 13 : 9400726716
Total Pages : 499 pages
Book Rating : 4.10/5 ( download)

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Download or read book Vibrations of Elastic Systems written by Edward B. Magrab and published by Springer Science & Business Media. This book was released on 2012-01-19 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a unified approach to the vibrations of elastic systems as applied to MEMS devices, mechanical components, and civil structures. Applications include atomic force microscopes, energy harvesters, and carbon nanotubes and consider such complicating effects as squeeze film damping, viscous fluid loading, in-plane forces, and proof mass interactions with their elastic supports. These effects are analyzed as single degree-of-freedom models and as more realistic elastic structures. The governing equations and boundary conditions for beams, plates, and shells with interior and boundary attachments are derived by applying variational calculus to an expression describing the energy of the system. The advantages of this approach regarding the generation of orthogonal functions and the Rayleigh-Ritz method are demonstrated. A large number of graphs and tables are given to show the impact of various factors on the systems’ natural frequencies, mode shapes, and responses.

Author : Arthur W. Leissa
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.53/5 ( download)

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Download or read book Vibration of Plates written by Arthur W. Leissa and published by . This book was released on 1969 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Werner Soedel
Publisher : CRC Press
ISBN 13 : 0203026306
Total Pages : 594 pages
Book Rating : 4.04/5 ( download)

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Download or read book Vibrations of Shells and Plates written by Werner Soedel and published by CRC Press. This book was released on 2004-08-11 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: With increasingly sophisticated structures involved in modern engineering, knowledge of the complex vibration behavior of plates, shells, curved membranes, rings, and other complex structures is essential for today‘s engineering students, since the behavior is fundamentally different than that of simple structures such as rods and beams. Now in its

Author : Raymond David Mindlin
Publisher : World Scientific
ISBN 13 : 9812772499
Total Pages : 211 pages
Book Rating : 4.97/5 ( download)

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Download or read book An Introduction to the Mathematical Theory of Vibrations of Elastic Plates written by Raymond David Mindlin and published by World Scientific. This book was released on 2006 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Sample Chapter(s). Chapter 1: Elements of the Linear Theory of Elasticity (416 KB). Contents: Elements of the Linear Theory of Elasticity; Solutions of the Three-Dimensional Equations; Infinite Power Series of Two-Dimensional Equations; Zero-Order Approximation; First-Order Approximation; Intermediate Approximations. Readership: Researchers in mechanics, civil and mechanical engineering and applied mathematics.

Author : Jiashi Yang
Publisher : World Scientific
ISBN 13 : 9814476544
Total Pages : 211 pages
Book Rating : 4.46/5 ( download)

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Download or read book Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An - By R D Mindlin written by Jiashi Yang and published by World Scientific. This book was released on 2006-12-29 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Henry Frank Tiersten
Publisher : Springer
ISBN 13 : 1489964533
Total Pages : 216 pages
Book Rating : 4.33/5 ( download)

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Download or read book Linear Piezoelectric Plate Vibrations written by Henry Frank Tiersten and published by Springer. This book was released on 2013-11-11 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mohamad Subhi Qatu
Publisher : Elsevier
ISBN 13 : 0080474764
Total Pages : 426 pages
Book Rating : 4.62/5 ( download)

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Download or read book Vibration of Laminated Shells and Plates written by Mohamad Subhi Qatu and published by Elsevier. This book was released on 2004-02-16 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vibrations drive many engineering designs in today’s engineering environment. There has been an enormous amount of research into this area of research over the last decade. This book documents some of the latest research in the field of vibration of composite shells and plates filling a much-needed gap in the market. Laminated composite shells have many engineering applications including aerospace, mechanical, marine and automotive engineering. This book makes an ideal reference for researchers and practicing engineers alike. The first book of its kind Documents 10 years of research in the field of composite shells Many Engineering applications

Author : Robert D. Blevins
Publisher : John Wiley & Sons
ISBN 13 : 1119038219
Total Pages : 464 pages
Book Rating : 4.14/5 ( download)

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Download or read book Formulas for Dynamics, Acoustics and Vibration written by Robert D. Blevins and published by John Wiley & Sons. This book was released on 2016-05-03 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: With Over 60 tables, most with graphic illustration, and over 1000 formulas, Formulas for Dynamics, Acoustics, and Vibration will provide an invaluable time-saving source of concise solutions for mechanical, civil, nuclear, petrochemical and aerospace engineers and designers. Marine engineers and service engineers will also find it useful for diagnosing their machines that can slosh, rattle, whistle, vibrate, and crack under dynamic loads.