Download or read book Exact Analysis of Bi periodic Structures written by C. W. Cai and published by World Scientific. This book was released on 2002 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a procedure for applying the U-transformation technique twice to uncouple the two sets of unknown variables in a doubly periodic structure to achieve an analytical exact solution.
Download or read book Exact Analysis Of Bi periodic Structures written by C W Cai and published by World Scientific. This book was released on 2002-03-25 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: By using the U-transformation method, it is possible to uncouple linear simultaneous equations, either algebraic or differential, with cyclic periodicity. This book presents a procedure for applying the U-transformation technique twice to uncouple the two sets of unknown variables in a doubly periodic structure to achieve an analytical exact solution.Explicit exact solutions for the static and dynamic analyses for certain engineering structures with doubly periodic properties — such as a continuous truss with any number of spans, cable network and grillwork on supports with periodicity, and grillwork with periodic stiffening members or equidistant line supports — can be found in the book. The availability of these exact solutions not only helps with the checking of the convergence and accuracy of numerical solutions, but also provides a basis for optimization design for these types of structures.The study of the force vibration and mode shape of periodic systems with nonlinear disorder is yet another research area which has attained considerable success by the U-transformation method. This book illustrates the analytical approach and procedure for the problems of localization of the mode shape of nearly periodic systems together with the results.
Download or read book Linear and Nonlinear Waves in Microstructured Solids written by Igor V. Andrianov and published by CRC Press. This book was released on 2021-04-22 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids, the book determines their global characteristics through analysis of their internal structure, using homogenization and asymptotic procedures, in line with the latest thinking within the field. The book’s cutting-edge methodology can be applied to optimal design, non-destructive control and in deep seismic sounding, providing a valuable alternative to widely used numerical methods. Using case studies, the book covers topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices. The book will be of interest to students, research engineers, and professionals specialising in mathematics and physics as well as mechanical and civil engineering.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Journal of Engineering Mechanics written by and published by . This book was released on 2000 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings written by and published by . This book was released on 2007 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proceedings A publishes refereed research papers in the mathematical, physical, and engineering sciences. The emphasis is on new, emerging areas of interdisciplinary and multidisciplinary research." Continues: Proceedings. Mathematical and physical sciences.
Download or read book Transactions of the American Society of Civil Engineers written by American Society of Civil Engineers and published by . This book was released on 1999 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: v. 29-30 include papers of the International Engineering Congress, Chicago, 1893; v. 54 includes papers of the International Engineering Congress, St. Louis, 1904.
Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2003 with total page 1926 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acoustics Abstracts written by and published by . This book was released on 1996 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Briefs written by and published by . This book was released on 1991 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book ASCE Combined Index written by American Society of Civil Engineers and published by . This book was released on 1998 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indexes materials appearing in the Society's Journals, Transactions, Manuals and reports, Special publications, and Civil engineering.
Download or read book Stable Three dimensional Biperiodic Waves in Shallow Water written by Norman W. Scheffner and published by . This book was released on 1988 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Kadomtsev-Petviashvili (KP) equation is tested as a model for these biperiodic waves. This equation is the direct three-dimensional generalization of the famous Korteweg-deVries (KdV) equation for weakly nonlinear waves in two dimensions. It is known that the KP equation admits an infinite dimensional family of periodic solutions which are defined in terms of Riemann theta functions of genus N. Genus 2 solutions have two real periods and are similar in structure to the hexagonally-shaped waves observed in the experiments. A methodology is developed which related the free parameters of the genus 2 solution to the temporal and spatial data of the experimentally generated waves. Comparisons of exact genus 2 solutions with measured data show excellent agreement over the entire range of experiments.
Download or read book Books in Print Supplement written by and published by . This book was released on 2002 with total page 2576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1996 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics of the Solid State written by and published by . This book was released on 1994 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the ASME Design Engineering Technical Conferences written by and published by . This book was released on 2005 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Foundry Trade Journal written by and published by . This book was released on 1938 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:
