La lecture à portée de main
Description
Sujets
Informations
Publié par | universitat_stuttgart |
Publié le | 01 janvier 2007 |
Nombre de lectures | 34 |
Langue | English |
Poids de l'ouvrage | 3 Mo |
Extrait
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