| Description |
1 online resource (ix, 269 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references (pages 263-264) and index. |
| Summary |
Annotation 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. |
| Contents |
Preface; CONTENTS; Chapter 1 U Transformation and Uncoupling of Governing Equations for Systems with Cyclic Bi-periodicity; 1.1 Dynamic Properties of Structures with Cyclic Periodicity; 1.1.1 Governing Equation; 1.1.2 U Matrix and Cyclic Matrix; 1.1.3 U Transformation and Uncoupling of Simultaneous Equations with Cyclic Periodicity; 1.1.4 Dynamic Properties of Cyclic Periodic Structures; 1.2 Uncoupling of Simultaneous Equations with Cyclic Periodicity for Variables with Two Subscripts; 1.2.1 Double U Transformation. |
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1.2.2 Uncoupling of Simultaneous Equations with Cyclic Periodicity for Variables with Two Subscripts1.3 Uncoupling of Simultaneous Equations with Cyclic Bi-periodicity; 1.3.1 Cyclic Bi-periodic Equation; 1.3.2 Uncoupling of Cyclic Bi-periodic Equations; 1.3.3 Uncoupling of Simultaneous Equations with Cyclic Bi-periodicity for Variables with Two Subscripts; Chapter 2 Bi-periodic Mass-Spring Systems; 2.1 Cyclic Bi-periodic Mass-Spring System; 2.1.1 Static Solution; 2.1.1a Example; 2.1.2 Natural Vibration; 2.1.2a Example; 2.1.3 Forced Vibration; 2.1.3a Example. |
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2.2 Linear Bi-periodic Mass-Spring Systems2.2.1 Bi-periodic Mass-Spring System with Fixed Extreme Ends; 2.2.1a Natural Vibration Example; 2.2.1b Forced Vibration Example; 2.2.2 Bi-periodic Mass-Spring System with Free Extreme Ends; 2.2.2a Natural Vibration Example; 2.2.2b Forced Vibration Example; 2.2.3 Bi-periodic Mass-Spring System with One End Fixed And The Other Free; 2.2.3a Natural Vibration Example; Chapter 3 Bi-periodic Structures; 3.1 Continuous Trusses with Equidistant Supports; 3.1.1 Governing Equation; 3.1.2 Static Solution [11]; 3.1.2a Example; 3.1.3 Natural Vibration [12]. |
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3.1.3a Example3.1.4 Forced Vibration[12]; 3.1.4a Example; 3.2 Continuous Beam with Equidistant Roller and Spring Supports [10]; 3.2.1 Governing Equation and Static Solution; 3.2.2 Example; Chapter 4 Structures with Bi-periodicity in Two Directions; 4.1 Cable Networks with Periodic Supports; 4.1.1 Static Solution; 4.1.1a Example; 4.1.2 Natural Vibration[19]; 4.1.2a Example; 4.1.3 Forced Vibration [19]; 4.1.3a Example; 4.2 Grillwork with Periodic Supports[18]; 4.2.1 Governing Equation; 4.2.2 Static Solution; 4.2.3 Example; 4.3 Grillwork with Periodic Stiffened Beams; 4.3.1 Governing Equation. |
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4.3.2 Static Solution4.3.3 Example; Chapter 5 Nearly Periodic Systems with Nonlinear Disorders; 5.1 Periodic System with Nonlinear Disorders -- Mono-coupled System [21]; 5.1.1 Governing Equation; 5.1.2 Localized Modes in the System with One Nonlinear Disorder; 5.1.3 Localized Modes in the System with Two Nonlinear Disorders; 5.2 Periodic System with One Nonlinear Disorder -Two-degree-coupling System[22]; 5.2.1 Governing Equation; 5.2.2 Perturbation Solution; 5.2.3 Localized Modes; 5.3 Damped Periodic Systems with One Nonlinear Disorder[23]; 5.3.1 Forced Vibration Equation. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Structural analysis (Engineering)
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Structural analysis (Engineering) |
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Mechanics, Analytic.
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Mechanics, Analytic. |
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Transformation groups.
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Transformation groups. |
| Genre/Form |
Electronic books.
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| Added Author |
Liu, J. K.
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Chan, H. C. (Hon Chuen)
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| Added Title |
Bi-periodic structures |
| Other Form: |
Print version: Cai, C.W. Exact analysis of bi-periodic structures. New Jersey : World Scientific, ©2002 9810249284 9789810249281 (DLC) 2002282961 (OCoLC)50725701 |
| ISBN |
9789812777621 (electronic book) |
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9812777628 (electronic book) |
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9789810249281 |
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9810249284 |
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9810249284 |
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