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Exact Analysis of Bi-Periodic Structures

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Description: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.Contents: U-Transformation and Uncoupling of Governing Equations for Systems with Cyclic Bi-PeriodicityBi-Periodic Mass-Spring SystemsBi-Periodic StructuresStructures with Bi-Periodicity in Two DirectionsNearly Periodic Systems with Nonlinear DisordersReadership: Practitioners, researchers and graduate students in mechanical engineering, engineering mechanics, civil engineering, mechanics, and numerical & computational mathematics."We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Exact Analysis of Bi-Periodic Structures. To get started finding Exact Analysis of Bi-Periodic Structures, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 9810249284

Description: 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.Contents: U-Transformation and Uncoupling of Governing Equations for Systems with Cyclic Bi-PeriodicityBi-Periodic Mass-Spring SystemsBi-Periodic StructuresStructures with Bi-Periodicity in Two DirectionsNearly Periodic Systems with Nonlinear DisordersReadership: Practitioners, researchers and graduate students in mechanical engineering, engineering mechanics, civil engineering, mechanics, and numerical & computational mathematics."We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Exact Analysis of Bi-Periodic Structures. To get started finding Exact Analysis of Bi-Periodic Structures, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Exact Analysis of Bi-Periodic Structures

Exact Analysis of Bi-Periodic Structures

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