Exact analysis of bi-periodic structures / C.W. Cai, J.K. Liu, H.C. Chan.

Format:

Book

Author/Creator:

Cai, C. W.

Contributor:

Liu, J. K.

Chan, H. C. (Hon Chuen)

Language:

English

Subjects (All):

Structural analysis (Engineering).

Mechanics, Analytic.

Transformation groups.

Physical Description:

1 online resource (ix, 269 p. ) ill.

Edition:

1st ed.

Other Title:

Bi-periodic structures

Place of Publication:

New Jersey : World Scientific, c2002.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 263-264) and index.

ISBN:

9789812777621

9812777628

OCLC:

879074411