03639nam 22006014a 450 991078481620332120230607221509.0981-277-762-8(CKB)1000000000410461(StDuBDS)AH24684744(SSID)ssj0000151634(PQKBManifestationID)11146918(PQKBTitleCode)TC0000151634(PQKBWorkID)10318322(PQKB)10779641(MiAaPQ)EBC1681563(WSP)00004940(Au-PeEL)EBL1681563(CaPaEBR)ebr10201227(CaONFJC)MIL505412(OCoLC)879074411(EXLCZ)99100000000041046120020702d2002 uy 0engur|||||||||||txtccrExact analysis of bi-periodic structures[electronic resource] /C.W. Cai, J.K. Liu, H.C. ChanNew Jersey World Scientificc20021 online resource (ix, 269 p. )illBibliographic Level Mode of Issuance: Monograph981-02-4928-4 Includes bibliographical references (p. 263-264) and index.U-transformation and uncoupling of governing equations for systems with cyclic bi-periodicity; bi-periodic mass-spring systems; bi-periodic structures; structures with bi-periodicity in two directions; nearly periodic systems with non-linear disorders.By using the U-transformation method, it is possible to uncouple linear simultaneous equations with cyclic periodicity. This text discusses how to apply U-transformation twice to uncouple the two sets of unknown variables in a doubly periodic structure to achieve an analytical exact solution.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.Structural analysis (Engineering)Mechanics, AnalyticTransformation groupsStructural analysis (Engineering)Mechanics, Analytic.Transformation groups.624.1/71Cai C. W1530420Liu J. K1530421Chan H. C(Hon Chuen)1530422MiAaPQMiAaPQMiAaPQBOOK9910784816203321Exact analysis of bi-periodic structures3775479UNINA