morphogenesis of a toroidal skywalk. development, design and optimization
TRANSCRIPT
![Page 1: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/1.jpg)
Morphogenesis of a Toroidal SkywalkDevelopment, design and optimization
Università di PisaScuola di IngegneriaTesi di laurea specialistica in Ingegneria edile e delle costruzioni civili
Relatori: Prof. Ing. Maurizio Froli Ing. Francesco Laccone
Candidato: Marco Pellegrino
![Page 2: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/2.jpg)
IntroduzioneAnalisi preliminariForm FindingOttimizzazione strutturalePannellizzazioneProgetto
![Page 3: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/3.jpg)
Introduzione
![Page 4: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/4.jpg)
Grand Canyon skywalk Arizona – Hualapai Indian Reservation
Riferimenti contemporanei
Glacier skywalkJasper National Park - Canada
• Camminamento in vetro
• Travi scatolari
• Struttura anima piena e reticolare• Cavo post-teso
• Camminamento in vetro
![Page 5: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/5.jpg)
• Struttura a spirali avvolgenti
• Guscio Vitreo• Camminamento in vetro
Progetto
![Page 6: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/6.jpg)
Ingegneria parametrica
scripting
Gli script sono creati attraverso concatenazione di righe di codice.
Oggi esistono degli editor visuali, estremamente utilizzati nella generazione di architetture complesse.
![Page 7: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/7.jpg)
Ingegneria parametrica
scriptingInput
Output
![Page 8: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/8.jpg)
Analisipreliminari
![Page 9: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/9.jpg)
Elemento traveCaratteristiche della sollecitazione
• Percorso semi circolare
CARATTERISTICHE DELLA SOLLECITAZIONE
• Doppiamente Incastrata
• Carico distribuito uniforme
Momento flettente
Momento torcente
Taglio
![Page 10: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/10.jpg)
Momento flettente
Elemento traveCaratteristiche della sollecitazione
- Fibre tese superiori agli appoggi- Fibre tese inferiori in mezzeria- Fibre compresse inferiori agli
appoggi- Fibre compresse superiori in
mezzeria
![Page 11: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/11.jpg)
Analisi del guscioCaratteristiche
• Sezione ellittica
5
7
• Guscio Toroidale
![Page 12: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/12.jpg)
Analisi del guscioStato tensionale
Vista superiore Vista inferiore
Trazione
Compressione
TrazioneCompressione
![Page 13: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/13.jpg)
Analisi del guscio
Direzioni principali
![Page 14: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/14.jpg)
Analisi del guscio
Direzioni principali
Stato tensionale Direzioni principali
![Page 15: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/15.jpg)
Form Finding
![Page 16: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/16.jpg)
Form Finding
RICERCA DELLA FORMA DELLA STRUTTURA
Le architetture free-form sono complesse da disegnare e necessitano quindi dello sviluppo di algoritmi appositi.
Grazie a questi è anche possibile definire forme che abbiano delle caratteristiche più performanti.
![Page 17: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/17.jpg)
Equazione parametrica della spirale
Form FindingCurve a passo costante
![Page 18: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/18.jpg)
Form FindingCurve a passo costante
![Page 19: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/19.jpg)
Form FindingCurve a passo costante
n = 3 n = 8
n = 16n = 12
![Page 20: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/20.jpg)
Form FindingIspirazione
Stadio Nazionale di Pechino,Arup
Skylink, Francoforte Bollinger-Grohmann
![Page 21: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/21.jpg)
Form FindingCurve avvolgenti
Spazio x,y,zSpazio u,v
u
v
![Page 22: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/22.jpg)
Form FindingCurve avvolgenti
Spazio x,y,zSpazio u,v
![Page 23: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/23.jpg)
Form FindingCurve avvolgenti
Spazio x,y,zSpazio u,v
![Page 24: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/24.jpg)
Form FindingCurve avvolgenti
Spazio x,y,zSpazio u,v
![Page 25: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/25.jpg)
OttimizzazioneStrutturale
![Page 26: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/26.jpg)
Processo iterativo Algoritmi genetici
Ottimizzazione strutturale
Curve a passo costante
Curve generiche
![Page 27: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/27.jpg)
Ottimizzazione strutturale
Processo iterativo
![Page 28: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/28.jpg)
Ottimizzazione strutturale
Processo iterativoN° spirali = 6 n° avvolgimenti: 1…6
N° spirali = 8 n° avvolgimenti: 1…6
N° spirali =10 n° avvolgimenti: 1…6
N° spirali =16 n° avvolgimenti: 1…6
N° spirali =14 n° avvolgimenti: 1…6
N° spirali =12 n° avvolgimenti: 1…6
![Page 29: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/29.jpg)
Ottimizzazione strutturale
Processo iterativo
38 cm 110’000 kg
![Page 30: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/30.jpg)
Ottimizzazione strutturale
Processo iterativo
10 mm
15 mm
20 mm
450 x 220
Spessore profilo
![Page 31: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/31.jpg)
Ottimizzazione strutturale
Algoritmo genetico
![Page 32: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/32.jpg)
Ottimizzazione strutturale
Algoritmo genetico
![Page 33: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/33.jpg)
massa
spostamento
Ottimizzazione strutturale
Algoritmo genetico
Pareto Front
Un insieme di soluzioni ottimali
![Page 34: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/34.jpg)
Ottimizzazione strutturale
Algoritmo genetico
Pareto Front – 5 ‘ Pareto Front – 10 ‘ Pareto Front – 30 ‘
![Page 35: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/35.jpg)
Mass 170021.5275Displacement 0.108832
0.530.750.790.80.490.330.20.215962669
Geno
me
Ottimizzazione strutturale
Algoritmo genetico
![Page 36: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/36.jpg)
Mass 168225.3942Displacement 0.307878
0.540.980.830.970.490.30.20.1459621168
Geno
me
Ottimizzazione strutturale
Algoritmo genetico
![Page 37: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/37.jpg)
Mass 152081.0362Displacement 0.184175
0.730.741
0.760.220.150.950.216823325
Geno
me
Ottimizzazione strutturale
Algoritmo genetico
![Page 38: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/38.jpg)
Ottimizzazione strutturale
Algoritmo genetico
Mass 108.568Displacement 0.358926
0.250.50.751
0.250.50.75175757575
Geno
me
![Page 39: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/39.jpg)
Comportamento delle spiraliSforzo normale
Spirale 1
Spirale 3 Spirale 4
Spirale 2
Trazionecompressione
42 cm
![Page 40: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/40.jpg)
Compressione dei pannelli di vetro
Tesatura cavo
Forze risultati dopo la tesatura del cavo
![Page 41: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/41.jpg)
Compressione dei pannelli di vetro
Stato tensionale
Presenza totale della sollecitazione di compressione nei pannelli
Vista superiore Vista inferiore
![Page 42: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/42.jpg)
Pannellizzazione
![Page 43: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/43.jpg)
PannellizzazioneAlgoritmo di ottimizzazione
Selezione del pannelloCreazione dello stampo cilindrico o toroidaleIl pannello viene posto di fronte allo stampo attraverso una trasformazione T
I vertici vengono proiettati sulla superficieLo stampo viene tagliato con 4 piani paralleli all’asse z passanti per i vertici
Il pannello viene creato e riposizionatoIl pannello è riposto sulla superficie iniziale
![Page 44: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/44.jpg)
Pannellizzazionerisultati
TOT senza ottimizzazione: 627
TOT con ottimizzazzione: 374Risparmio 40 %
mold C1 C2 number € Pannelli € TOT4.224 - 26 2 523.097 30.892 24 2 481.923 38.171 13 2 263.097 23.265 24 5 1201.923 16.775 13 5 65double curvature
cilinder
![Page 45: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/45.jpg)
Progetto
![Page 46: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/46.jpg)
ProgettoDettagli costruttiviPlanimetria
Sezione
r = 20 metric = 63 metri
h = 5 metrib = 6,50 metri
![Page 47: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/47.jpg)
ProgettoDettagli costruttivi
Attacco per vetro
![Page 48: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/48.jpg)
ProgettoDettagli costruttivi
ProgettoDettagli costruttivi
Attacco per vetro
![Page 49: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/49.jpg)
ProgettoDettagli costruttivi
ProgettoDettagli costruttivi
![Page 50: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/50.jpg)
ProgettoRendering
Vista Concettuale
![Page 51: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/51.jpg)
ProgettoRendering
Vista Concettuale
![Page 52: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/52.jpg)
ProgettoRendering
Vista Concettuale
![Page 53: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/53.jpg)
Progetto#VR
Realtà Virtuale Dinamica Realtà Virtuale statica
![Page 54: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/54.jpg)
#VRVirtual Reality
Occhio destro
Occhio sinistro
![Page 55: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/55.jpg)
#VRVirtual Reality
![Page 56: Morphogenesis of a toroidal Skywalk. Development, design and optimization](https://reader035.vdocument.in/reader035/viewer/2022070516/58ce76031a28abdc578b68f9/html5/thumbnails/56.jpg)
Grazie per
l’attenzione