Exact Analysis of Bi-Periodic Structures
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PrefaceCh. 1U Transformation and Uncoupling of Governing Equations for Systems with Cyclic Bi-periodicity11.1Dynamic Properties of Structures with Cyclic Periodicity11.2Uncoupling of Simultaneous Equations with Cyclic Periodicity for Varaiables with Two Subscripts111.3Uncoupling of Simultaneous Equations with Cyclic Bi-periodicity15Ch. 2Bi-periodic Mass-Spring Systems272.1Cyclic Bi-periodic Mass-Spring System272.2Linear Bi-periodic Mass-Spring Systems44Ch. 3Bi-periodic Structures813.1Continuous Truss with Equidistant Supports813.2Continuous Beam with Equidistant Roller and Spring Supports115Ch. 4Structures with Bi-periodicity in Two Directions1254.1Cable Networks with Periodic Supports1254.2Grillwork with Periodic Supports1564.3Grillwork with Periodic Stiffened Beams175Ch. 5Nearly Periodic Systems with Nonlinear Disorders2035.1Periodic System with Nonlinear Disorders - Monocoupled System2035.2Periodic System with One Nonlinear Disorder - Two-degree-coupling System2195.3Damped Periodic Systems with One Nonlinear Disorder239References263Nomenclature265Index267
