Exact Analysis Of Bi Periodic Structures

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Exact Analysis Of Bi Periodic Structures

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Author : C W Cai
language : en
Publisher: World Scientific
Release Date : 2002-03-25

Exact Analysis Of Bi Periodic Structures written by C W Cai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-03-25 with Technology & Engineering categories.

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.

Exact Analysis Of Bi Periodic Structures

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Author : C. W. Cai
language : en
Publisher: World Scientific
Release Date : 2002

Exact Analysis Of Bi Periodic Structures written by C. W. Cai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Technology & Engineering categories.

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.

Linear And Nonlinear Waves In Microstructured Solids

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Author : Igor V. Andrianov
language : en
Publisher: CRC Press
Release Date : 2021-04-22

Linear And Nonlinear Waves In Microstructured Solids written by Igor V. Andrianov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-22 with Technology & Engineering categories.

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.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2005

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Methods Of Analysis Of Periodic Structures

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Author : P. A. Ryan
language : en
Publisher:
Release Date : 1983

Methods Of Analysis Of Periodic Structures written by P. A. Ryan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.

Dynamics Of Bi Periodic Structures

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Author : Michael Jay Carroll
language : en
Publisher:
Release Date : 1981

Dynamics Of Bi Periodic Structures written by Michael Jay Carroll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.

Journal Of Engineering Mechanics

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Author :
language : en
Publisher:
Release Date : 2000

Journal Of Engineering Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mechanics, Applied categories.

Proceedings

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Author :
language : en
Publisher:
Release Date : 2007

Proceedings written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Electronic journals categories.

"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.

Transactions Of The American Society Of Civil Engineers

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Author : American Society of Civil Engineers
language : en
Publisher:
Release Date : 1999

Transactions Of The American Society Of Civil Engineers written by American Society of Civil Engineers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Civil engineering categories.

v. 29-30 include papers of the International Engineering Congress, Chicago, 1893; v. 54 includes papers of the International Engineering Congress, St. Louis, 1904.

The British National Bibliography

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Author : Arthur James Wells
language : en
Publisher:
Release Date : 2003

The British National Bibliography written by Arthur James Wells and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Bibliography, National categories.