Analytical and numerical investigations of form-finding methods for tensegrity structures [Elektronische Ressource] / vorgelegt von Giovani Gomez Estrada
152 Pages
English
Downloading requires you to have access to the YouScribe library
Learn all about the services we offer

Analytical and numerical investigations of form-finding methods for tensegrity structures [Elektronische Ressource] / vorgelegt von Giovani Gomez Estrada

Downloading requires you to have access to the YouScribe library
Learn all about the services we offer
152 Pages
English

Description

Analytical and numerical investigationsof form-finding methods fortensegrity structuresVon der Fakult¨at Informatik, Elektrotechnik undInformationstechnik der Universit¨at Stuttgartzur Erlangung der Wu¨rde einesDoktors der Naturwissenschaften (Dr. rer. nat.)genehmigte AbhandlungVorgelegt vonGiovani Gomez Estradaaus MexikoHauptberichter: Prof. Dr. Hans-Joachim BungartzMitberichter: Prof. Dr. Manfred BischoffMitberichter: Prof. Dr. Thomas ErtlTag der Einreichung: 19.10.2006Tag der mu¨ndlichen Pru¨fung: 12.07.2007Max-Planck-Institut fu¨r Metallforschungund Universit¨at Stuttgart, 2007Contents1 Introduction 11.1 Statically indeterminate structures . . . . . . . . . . . . . . . . . . . . . . 21.2 Tensegrity structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41.3 Applications and challenges of tensegrity structures . . . . . . . . . . . . . 51.4 State of the art of form-finding methods for tensegrity structures . . . . . . 71.5 Overview of the research . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91.6 Outline of the dissertation . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 Tensegrity structures 132.1 Attraction and repulsion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132.2 Basic hypotheses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142.3 Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162.4 Geometry and tension coefficients . . . . . . . . . .

Subjects

Informations

Published by
Published 01 January 2007
Reads 34
Language English
Document size 3 MB

Exrait

Analyticalandnumericalinvestigations
ofform-ndingmethodsfor
tensegritystructures

VonderFakulta¨tInformatik,Elektrotechnikund
InformationstechnikderUniversita¨tStuttgart
zurErlangungderWu¨rdeeines
DoktorsderNaturwissenschaften(Dr.rer.nat.)
genehmigteAbhandlung

Vorgelegtvon
GiovaniGomezEstrada
ausMexiko

Hauptberichter:Prof.Dr.Hans-JoachimBungartz
Mitberichter:Prof.Dr.ManfredBischo
Mitberichter:Prof.Dr.ThomasErtl
TagderEinreichung:19.10.2006
Tagdermu¨ndlichenPru¨fung:12.07.2007

Max-Planck-Institutfu¨rMetallforschung
undUniversita¨tStuttgart,2007

Contents

1Introduction1
1.1Staticallyindeterminatestructures......................2
1.2Tensegritystructures..............................4
1.3Applicationsandchallengesoftensegritystructures.............5
1.4Stateoftheartofform-ndingmethodsfortensegritystructures......7
1.5Overviewoftheresearch............................9
1.6Outlineofthedissertation...........................11

2Tensegritystructures13
2.1Attractionandrepulsion............................13
2.2Basichypotheses................................14
2.3Applications...................................16
2.4Geometryandtensioncoecients.......................18
2.5Rankconditionsandnullity..........................21
2.6Initialstiness..................................23
2.7Form-ndingoftensegritystructures.....................25
2.8Example:thetriplex..............................29

3Analyticalform-ndingoftensegritycylinders33
3.1Tensegritycylinders...............................33
3.2Geometricarrangementoftensegritycylinders................34

i

4

5

6

3.3Analyticalform-ndingprocedure.......................37
3.4Enumeratingsolutions:regularconvexandstarpolygons..........40
3.5Analysisoftensioncoecients,forcesandlengths..............43
3.6Afullexample:the9-plex...........................46
3.7Implementation.................................49
3.8Conclusionsandnalremarks.........................51

Stabilityandnon-uniquenessofthesolutionfortensegritycylinders52
4.1Introduction...................................52
4.2Stabilityandglobalequilibrium........................53
4.3Non-uniquenessoftheanalyticalsolutionfortensegritycylinders......56
4.4Initialstiness..................................61
4.5Afullexample:the30-plex..........................66
4.6Conclusionsandnalremarks.........................69

Numericalform-ndingoftensegritystructures73
5.1Introduction...................................73
5.2Form-ndingwithprototypes.........................75
5.3Fromtensioncoecientstocoordinates....................76
5.4Fromcoordinatestotensioncoecients....................79

5.5Examplesof2Dand3Dtensegritystructures.................81
5.6Implementation.................................89
5.7Complexityandconvergence..........................92
5.8Numericalexample...............................95
5.9Conclusionsand