Download or read book Equations of High Frequency Vibrations of Thermopiezoelectric Crystal Plates written by R. D. Mindlin and published by . This book was released on 1973 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: A system of two-dimensional equations is derived for high frequency motions of crystal plates accounting for coupling of mechanical, electrical and thermal fields. (Author).
Download or read book High Frequency Vibrations of Crystal Plates written by and published by . This book was released on 1960 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book High Frequency Vibrations of Thin Crystal Plates written by Raj K. Kaul and published by . This book was released on 1972 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations of motion of an anisotropic plate are rederived by using a new procedure which first determines the natural concomitants of the variational problem and then shows how the two-dimensional equations can be simplified by using these conditions. (Author).
Download or read book High Frequency Vibrations of Piezoelectric Crystal Plates written by R. D. Mindlin and published by . This book was released on 1972 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two dimensional equations of motion of piezoelectric crystal plates are obtained by retaining early terms of power series expansions of the mechanical displacement and electric potential in a variational principle for the three-dimensional equations of piezoelectricity. (Author).
Download or read book The Shock and Vibration Bulletin written by and published by . This book was released on 1983-05 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Forced Vibrations of Piezoelectric Crystal Plates written by Harry F. Tiersten and published by . This book was released on 1961 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extension is made of two-dimension l equations to include the piezoelectric relations and the electric field equations. The equations obtained are also extensions of previous equations in which the thickness-shear modes, the piezoelectric effect and the electric field equations were taken into account, but coupling with extensional modes was omitted. The ew equations are deduced from the t r e-dimensional, linear, piezoelectric equations by a procedure based on the series expansion methods of Cauchy and Poisson and the variational method of Kirchhoff. (Author).
Download or read book Analysis of Shells Plates and Beams written by Holm Altenbach and published by Springer Nature. This book was released on 2020-06-03 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Download or read book Plate Structures written by Victor Birman and published by Springer Science & Business Media. This book was released on 2011-07-20 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plate structures are used in almost every area of engineering, including aerospace and naval architecture, civil engineering, and electronics. These structures have diverse geometries and have to withstand a wide range of loading conditions. This book provides the theoretical foundations of the theories of plates manufactured from various materials, outlines and illustrates the methods used for the analysis of these structures, and emphasizes designs and solution techniques available to an engineer. The book is written for engineers working in industry, graduate students at aerospace, mechanical, civil engineering and naval architecture departments, and investigators interested in the development of the theory of plates and related subjects. While the mathematical modeling employed in the book is understandable to both engineers and graduate students, the book also provides insight into relevant phenomena and theories underlying plate structures. Thus, the reader is equipped with a thorough understanding of the problems and appropriate assumptions, even if the analysis is conducted using commercially available software codes. In addition, the book includes numerous analytical solutions that can confidently be used in the design of plate structures. The combination of theoretical insight and references to practical problems makes the book equally attractive to academia and industry.
Download or read book Analysis of Piezoelectric Semiconductor Structures written by Jiashi Yang and published by Springer Nature. This book was released on 2020-06-19 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mechanics of piezoelectric semiconductor structures where the main electromechanical coupling of interest is the interaction between mechanical fields and semiconduction. This volume stands as the first full book treatment of this multi-physical subject from the mechanics angle. The analysis of piezoelectric semiconductor structures and devices is an emerging and rapidly growing interdisciplinary area involving materials, electronics, and solid mechanics. It has direct applications in the new area of piezotronics and piezo-phototronics. The book is theoretical, beginning with a phenomenological framework and progressing to include solutions to problems fundamental to the theory and application. Dr. Yang illustrates how in piezoelectric semiconductors, mechanical fields interact with semiconduction through the piezoelectrically produced electric fields by mechanical loads. This provides the foundation of piezotronic and piezo-phototronic devices in which semiconduction is induced, affected, manipulated, or controlled by mechanical fields. Also discussing composite structures of piezoelectric dielectrics and nonpiezoelectric semiconductors as well as thermal effects, the book is an ideal basic reference on the topic for researchers.
Download or read book R D Mindlin and Applied Mechanics written by George Herrmann and published by Elsevier. This book was released on 2013-10-22 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. D. Mindlin and Applied Mechanics is a collection of studies in the development of Applied Mechanics dedicated to Professor Raymond D. Mindlin by his former students. This book contains the development of specific areas of Mechanics of Solids to which Mindlin has contributed most. Organized into eight chapters, this text first discusses the past, present and likely future of photoelasticity. Subsequent chapters explore the development of the three-dimensional theory of elasticity; generalized elastic continua; bodies in contact with applications to granular media; and waves and vibrations in isotropic and anisotropic plates. Other chapters discuss the vibrations and wave propagation in rods, piezoelectric crystals, and electro-elasticity. Lastly, the lattice theories and continuum mechanics are described.
Download or read book A Primer for a Secret Shortcut to PDEs of Mathematical Physics written by Des McGhee and published by Springer Nature. This book was released on 2020-08-24 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling of physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure in the Hilbert space setting that ensures well-posedness and causality, two essential properties of any reasonable model in mathematical physics or engineering.However, the application of the theory to other types of equations is also demonstrated. By means of illustrative examples, from the straightforward to the more complex, the authors show that many of the classical models in mathematical physics as well as more recent models of novel materials and interactions are covered, or can be restructured to be covered, by this unified Hilbert space approach. The reader should require only a basic foundation in the theory of Hilbert spaces and operators therein. For convenience, however, some of the more technical background requirements are covered in detail in two appendices The theory is kept as elementary as possible, making the material suitable for a senior undergraduate or master’s level course. In addition, researchers in a variety of fields whose work involves partial differential equations and applied operator theory will also greatly benefit from this approach to structuring their mathematical models in order that the general theory can be applied to ensure the essential properties of well-posedness and causality.
Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1983 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1975 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Smart Materials and Structures written by M.V. Gandhi and published by Springer Science & Business Media. This book was released on 1992-05-31 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the embryonic field of smart materials and structures, and also presents a state-of-the-art review of the sub-disciplines of the field. It informs readers of the technical challenges to the commercialisation of products incorporating these material technologies.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1974 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Fluid Dynamics written by B. Rushi Kumar and published by Springer Nature. This book was released on 2020-07-10 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises selected peer-reviewed proceedings of the International Conference on Applications of Fluid Dynamics (ICAFD 2018) organized by the School of Advanced Sciences, Vellore Institute of Technology, India, in association with the University of Botswana and the Society for Industrial and Applied Mathematics (SIAM), USA. With an aim to identify the existing challenges in the area of applied mathematics and mechanics, the book emphasizes the importance of establishing new methods and algorithms to address these challenges. The topics covered include diverse applications of fluid dynamics in aerospace dynamics and propulsion, atmospheric sciences, compressible flow, environmental fluid dynamics, control structures, viscoelasticity and mechanics of composites. Given the contents, the book is a useful resource for students, researchers as well as practitioners.
Download or read book Partial Differential Equations written by Rainer Picard and published by Walter de Gruyter. This book was released on 2011-06-30 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented. The book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics.
