Warwick Research into Humans and Structures Contents 1. 2. 3. 4. Humans and Structures Laboratory Experimental facilities: structures Experimental facilities: humans Experimental facilities: human-structure interaction 5. Current projects 6. Summary Dr Stana Zivanovic (structural engineering) Dr Neil Evans (biomechanics & biomedicine) School of Engineering University of Warwick United Kingdom Contents 1. 2. 3. 4. Humans and Structures Laboratory Experimental facilities: structures Experimental facilities: humans Experimental facilities: human-structure interaction 5. Current projects 6. Summary 1 1 Humans & Structures Lab 2 Remit is in experimental and numerical work on: • Dynamic properties of civil structures • Dynamic loading by humans • Human-structure interaction (kinematics, kinetics, vibration perception, synchronisation) Established in 2010 Acquired experimental facilities in excess of £130k + Gait Lab 1 Humans & Structures Lab remit Structures of interest: 3 Humans & Structures Lab remit Examples of excessive vibrations: Millennium Bridge, London, UK (max observed crowd ~2,000) Contents 1. 2. 3. 4. Humans and Structures Laboratory Experimental facilities: structures Experimental facilities: humans Experimental facilities: human-structure interaction 5. Current projects 6. Summary 4 Nürnberg stadium, Germany (capacity ~50,000) Lab Facilities: structures 5 Modal testing equipment Dytran 5803A sledge hammer Quattro APS 400 QA750 electrodynamic shaker 24-bit, 4 inputs 1300mV/g accelerometers 1 output Dytran 3166B1 500mV/g accelerometers 2 Contents 1. 2. 3. 4. Humans and Structures Laboratory Experimental facilities: structures Experimental facilities: humans Experimental facilities: human-structure interaction 5. Current projects 6. Summary Lab Facilities: humans 6 Human loading characterisation AMTI BP400600 force plate Gait Lab Vicon motion capture system F-scan VersaTek in-shoe pressure Treadmill (not instrumented) Contents 1. 2. 3. 4. Humans and Structures Laboratory Experimental facilities: structures Experimental facilities: humans Experimental facilities: human-structure interaction 5. Current projects 6. Summary Lab Facilities: human-structure interaction 7 Warwick Bridge, lively under pedestrian excitation 3 Why a lively laboratory bridge? 8 2 Modal acceleration [m/s ] Current vibration guidelines are not readily applicable on slender structures Design 9 Design brief: 2.5 predicted 2.0 1.5 1.0 measured 0.5 0.0 -0.5 -1.0 -1.5 -2.0 DLF=0.17 -2.5 0 10 20 30 40 50 60 70 80 90 Time [s] • • • • • • Lively (vertical direction) under walking excitation Natural frequency 1.5-2.5Hz Maximum length 21m Tunable natural frequency and damping ratio Obey H&S requirements (construction in the Lab) (Low damping ratio preferred) Response overestimate due to pedestrian-structure interaction? What level of vibration disturbs human gait? 10 Design Simple beam structure: Design 11 Cross section: • Low natural frequency means: - long span and/or - large mass and/or - low stiffness • Span length most influential factor 2 1 fn1 2 2 L EI m m, EI L • Long span => high slenderness (span to depth ratio) • Ensure structural integrity • Decision: composite steel-concrete structure • Reinforced concrete C40/50, 2x mesh 8@200mm • Fibermesh FM650s (polypropylene fibres) • 2xUC203x203x52, S355 • 83 studs per beam, 19mm 4 Design 12 Design Plan view: Elevation view: • Cross beams to form steel frames • Delivered in three pieces (length restriction in the Lab) • Butt-welded in the Lab • Camber 250mm (to flatten under creep and shrinkage) Construction 14 Construction Steelwork: Concrete deck: • Three frames: 5.82m + 8.26m + 5.82m • Placed on six props • Full penetration butt welds, ultrasound check • Formwork construction (supports on steel beams and floor) • Ready mix concrete (6m3) • Casting on 14 Jan 2012 (a very cold day!) 13 15 5 Construction 16 Removing props (bridge lifting): 17 Static behaviour Concrete properties: • Formwork removed at 46 days • Curing stopped after 60 days • Placement on two supports after 60 days • Achieved concrete class at least C50/60 (designed C40/50) • Average density: 2.4 t/m3 Modal testing: setup 3 4 5 6 60 61 62 63 7 8 9 10 11 12 13 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 21 11.95m 9.95m 10.95m 7.95m 7x1.0=7.0m 8.95m 5.95m 6.95m 7x1.0=7.0m 3.95m 1.85m 0.00m 0.05m 0.95m 1.1m 59 1.1m 0.9m 0.9m 0.05m 19.85m 19.90m 2 58 18.95m 1 57 18.05m 56 15.95m 55 16.95m 54 13.95m 53 14.95m 52 12.95m 51 0.05m 0.9m 0.9m • Shrinkage estimate (Eurocode) is reasonable • Measured/calculated deflection ratio = 1.11 (likely due to uncertainties related to creep and shrinkage effects) 19 Dynamic behaviour 4.95m Shrinkage and deflection: 18 2.95m Static behaviour • Shaker at TP7 • Random excitation up to 25Hz • QA-750 accelerometers 6 Dynamic behaviour 20 Modal testing: identified vibration modes Dynamic behaviour 21 Walking tests • Uncontrolled pacing rate • V1: 2.5Hz, 0.5% • Natural frequency can be reduced by increasing the span length Dynamic behaviour Walking tests 22 Dynamic behaviour 23 V1: amplitude dependent behaviour • Pacing rate matching resonance 7 Contents Measuring dynamic force 24 Study walking locomotion on lively bridge 1. 2. 3. 4. Humans and Structures Laboratory Experimental facilities: structures Experimental facilities: humans Experimental facilities: human-structure interaction 5. Current projects 6. Summary • Using VICON motion capture system Infra-red camera S – total number of body segments mi – mass of i-th body segment ai – acceleration of i-th segment g – gravity S Drillis et al. (1964) 25 Trajectories of segment centers 1.6 Body centre of mass Head Left upper arm Left lower arm Trunk Left thigh Left shank Left foot 1.4 1.2 CoM 1.0 Test subject instrumented by reflective markers FVGRF mi (ai g) i 1 Measuring human kinematics 26 Experiments on rigid surface 0.8 0.6 0.4 0.2 0.0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 Peak-to-peak CoM displacement: ~6cm 8 Walking on lively bridge 27 Dynamic force amplitude 28 First harmonic only, 3 test subjects Experiments on lively surface Parameters monitored: -Step frequency -Step length -Step width -Leg orientations -Trunk rotation -Force • Experiments involving multi-person traffic Pedestrian perception of vibration 29 • Vibration limit = f(pacing rate) • Not pedestrian data • Unique data for 3 test subjects • Interaction trigger Summary 30 • A lively composite steel-concrete bridge was successfully built in the lab • Unique experimental facilities developed • Experimental testing on rigid surface and lively bridge performed • Statistical description of monitored parameters is in progress • Data to be used for calibrating pedestrian models 9 Acknowledgements • • • Hiep Vu Dang (PhD student at Warwick) • Colin Caprani and his team for hosting us THANK YOU 10