Exact Analysis of Biperiodic Structures - Printable Version +- Civil Engineering Association (https://forum.civilea.com) +-- Forum: eBooks (https://forum.civilea.com/forum-63.html) +--- Forum: Structural Books (https://forum.civilea.com/forum-49.html) +---- Forum: Analysis & Design (https://forum.civilea.com/forum-73.html) +---- Thread: Exact Analysis of Biperiodic Structures (/thread-41023.html) |
Exact Analysis of Biperiodic Structures - asim99 - 01-16-2013 Exact Analysis of Biperiodic Structures Author: C.W. Cai, J.K. Liu | Size: 5.75 MB | Format: PDF | Quality: Unspecified | Publisher: World Scientific Pub Co Inc | Year: 2002 | pages: 280 | ISBN: 9789810249281
By using the U-transformation method, it is possible to uncouple linear simultaneous equations, either algebraic or differential, with cyclic periodicity. This text 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 volume. 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 non-linear disorder is yet another research area which has attained considerable success by the U-transformation method. This work illustrates the analytical approach and procedure for the problems of localization of the mode shape of nearly periodic systems together with the results. Code: *************************************** RE: Exact Analysis of Biperiodic Structures - shadabg - 01-17-2013 *************************************** PDF : 5.75 mb |