03675nam 22006254a 450 991082765380332120200520144314.0981-277-762-8(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 /C.W. Cai, J.K. Liu, H.C. Chan1st ed.New 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.Bi-periodic structuresStructural analysis (Engineering)Mechanics, AnalyticTransformation groupsStructural analysis (Engineering)Mechanics, Analytic.Transformation groups.624.1/71Cai C. W1672498Liu J. K1672499Chan H. C(Hon Chuen)1672500MiAaPQMiAaPQMiAaPQBOOK9910827653803321Exact analysis of bi-periodic structures4035877UNINA