Exact analysis of bi-periodic structures /:
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.
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey :
World Scientific,
©2002.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (ix, 269 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 263-264) and index. |
| ISBN: | 9789812777621 9812777628 9789810249281 9810249284 |
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| 100 | 1 | |a Cai, C. W. |0 http://id.loc.gov/authorities/names/no99055271 | |
| 245 | 1 | 0 | |a Exact analysis of bi-periodic structures / |c C.W. Cai, J.K. Liu, H.C. Chan. |
| 246 | 3 | 0 | |a Bi-periodic structures |
| 260 | |a New Jersey : |b World Scientific, |c ©2002. | ||
| 300 | |a 1 online resource (ix, 269 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (pages 263-264) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a 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. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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]. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 546 | |a English. | ||
| 650 | 0 | |a Structural analysis (Engineering) |0 http://id.loc.gov/authorities/subjects/sh85129216 | |
| 650 | 0 | |a Mechanics, Analytic. |0 http://id.loc.gov/authorities/subjects/sh85082768 | |
| 650 | 0 | |a Transformation groups. |0 http://id.loc.gov/authorities/subjects/sh85136917 | |
| 650 | 6 | |a Théorie des constructions. | |
| 650 | 6 | |a Mécanique analytique. | |
| 650 | 6 | |a Groupes de transformations. | |
| 650 | 7 | |a structural analysis. |2 aat | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Structural. |2 bisacsh | |
| 650 | 7 | |a Mechanics, Analytic |2 fast | |
| 650 | 7 | |a Structural analysis (Engineering) |2 fast | |
| 650 | 7 | |a Transformation groups |2 fast | |
| 700 | 1 | |a Liu, J. K. |0 http://id.loc.gov/authorities/names/no2002066000 | |
| 700 | 1 | |a Chan, H. C. |q (Hon Chuen) |1 https://id.oclc.org/worldcat/entity/E39PCjqv9M7C63qxq8G3YcDYvb |0 http://id.loc.gov/authorities/names/no99055254 | |
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Datensatz im Suchindex
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| author | Cai, C. W. |
| author2 | Liu, J. K. Chan, H. C. (Hon Chuen) |
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| 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. 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. 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]. 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. 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. |
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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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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].</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Structural analysis (Engineering)</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85129216</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mechanics, Analytic.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85082768</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Transformation groups.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85136917</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Théorie des constructions.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Mécanique analytique.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Groupes de transformations.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">structural analysis.</subfield><subfield code="2">aat</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">TECHNOLOGY & ENGINEERING</subfield><subfield code="x">Structural.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mechanics, Analytic</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Structural analysis (Engineering)</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Transformation groups</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liu, J. 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| id | ZDB-4-EBA-ocn614463189 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:11Z |
| institution | BVB |
| isbn | 9789812777621 9812777628 9789810249281 9810249284 |
| language | English |
| oclc_num | 614463189 |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (ix, 269 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | World Scientific, |
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| spelling | Cai, C. W. http://id.loc.gov/authorities/names/no99055271 Exact analysis of bi-periodic structures / C.W. Cai, J.K. Liu, H.C. Chan. Bi-periodic structures New Jersey : World Scientific, ©2002. 1 online resource (ix, 269 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 263-264) and index. Print version record. 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. 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. 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. 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]. 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. 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. English. Structural analysis (Engineering) http://id.loc.gov/authorities/subjects/sh85129216 Mechanics, Analytic. http://id.loc.gov/authorities/subjects/sh85082768 Transformation groups. http://id.loc.gov/authorities/subjects/sh85136917 Théorie des constructions. Mécanique analytique. Groupes de transformations. structural analysis. aat TECHNOLOGY & ENGINEERING Structural. bisacsh Mechanics, Analytic fast Structural analysis (Engineering) fast Transformation groups fast Liu, J. K. http://id.loc.gov/authorities/names/no2002066000 Chan, H. C. (Hon Chuen) https://id.oclc.org/worldcat/entity/E39PCjqv9M7C63qxq8G3YcDYvb http://id.loc.gov/authorities/names/no99055254 has work: Exact analysis of bi-periodic structures (Text) https://id.oclc.org/worldcat/entity/E39PCGbCtxjxrjhHCbVbJJFTxP https://id.oclc.org/worldcat/ontology/hasWork Print version: Cai, C.W. Exact analysis of bi-periodic structures. New Jersey : World Scientific, ©2002 9810249284 9789810249281 (DLC) 2002282961 (OCoLC)50725701 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210665 Volltext |
| spellingShingle | Cai, C. W. Exact analysis of bi-periodic structures / 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. 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. 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]. 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. 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. Structural analysis (Engineering) http://id.loc.gov/authorities/subjects/sh85129216 Mechanics, Analytic. http://id.loc.gov/authorities/subjects/sh85082768 Transformation groups. http://id.loc.gov/authorities/subjects/sh85136917 Théorie des constructions. Mécanique analytique. Groupes de transformations. structural analysis. aat TECHNOLOGY & ENGINEERING Structural. bisacsh Mechanics, Analytic fast Structural analysis (Engineering) fast Transformation groups fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85129216 http://id.loc.gov/authorities/subjects/sh85082768 http://id.loc.gov/authorities/subjects/sh85136917 |
| title | Exact analysis of bi-periodic structures / |
| title_alt | Bi-periodic structures |
| title_auth | Exact analysis of bi-periodic structures / |
| title_exact_search | Exact analysis of bi-periodic structures / |
| title_full | Exact analysis of bi-periodic structures / C.W. Cai, J.K. Liu, H.C. Chan. |
| title_fullStr | Exact analysis of bi-periodic structures / C.W. Cai, J.K. Liu, H.C. Chan. |
| title_full_unstemmed | Exact analysis of bi-periodic structures / C.W. Cai, J.K. Liu, H.C. Chan. |
| title_short | Exact analysis of bi-periodic structures / |
| title_sort | exact analysis of bi periodic structures |
| topic | Structural analysis (Engineering) http://id.loc.gov/authorities/subjects/sh85129216 Mechanics, Analytic. http://id.loc.gov/authorities/subjects/sh85082768 Transformation groups. http://id.loc.gov/authorities/subjects/sh85136917 Théorie des constructions. Mécanique analytique. Groupes de transformations. structural analysis. aat TECHNOLOGY & ENGINEERING Structural. bisacsh Mechanics, Analytic fast Structural analysis (Engineering) fast Transformation groups fast |
| topic_facet | Structural analysis (Engineering) Mechanics, Analytic. Transformation groups. Théorie des constructions. Mécanique analytique. Groupes de transformations. structural analysis. TECHNOLOGY & ENGINEERING Structural. Mechanics, Analytic Transformation groups |
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