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Tall Building Active Damping Final Design Project 2.004 System Dynamics and Control Fall 2007 This Lab: Active Damper DesignProject GoalsLab 7Modeling:Tall Building Active DampingFinal Design Project 2.004 System Dynamics and ControlFall 2007MIT 2.004 Dynamics and Control II Harry Asada and Franz HoverOur Problem: Modify a tall building’s dynamic response to reject wind disturbances and earthquakesMIT 2.004 Dynamics and Control II Harry Asada and Franz HoverTo be completed in 2008101 floors492 m(1,614 ft)Shanghei World Finance Center BuildingImage from Wikimedia Commons, http://commons.wikimedia.orgMIT 2.004 Dynamics and Control II Harry Asada and Franz HoverTaipei 101435 m101 FloorsDistributed Damper SystemImage from Wikimedia Commons, http://commons.wikimedia.orgMIT 2.004 Dynamics and Control II Harry Asada and Franz HoverSliding Mass, m2SpringDamperHere is a Passive Damper(Dynamic Vibration Absorber)Wind force, FW(t)GroundBuilding: approximated as a beam?MIT 2.004 Dynamics and Control II Harry Asada and Franz HoverThis Lab: Active Damper DesignSliding Mass, m2SpringDamperWind force, FW(t)actuatorThe actuator is commanded by a control system, which requires sensorssensorscontrollerMIT 2.004 Dynamics and Control II Harry Asada and Franz HoverProject Goals• Design Goals– Damp out Induced Vibrations– Improve Upon Passive Solution• Project Deliverables– Model of System (LAB 7)– Open-Loop Design (LAB 8)– Closed-Loop Design (LAB 8)– Final Design and Experimental Verification (LAB 9)– Design History and Performance Record DocumentMatlab & SimulinkMIT 2.004 Dynamics and Control II Harry Asada and Franz HoverLab 7• Create Linear Model of System– Inputs?– Output?– State Space?– Transfer Function(s)?– System Parameters? • Mass, damping, stiffness…• Deliverable– State Space or Transfer Function Model verified by Instructor– Estimates of System ParametersSliding Mass, m2SpringDamperRelative VelocityVelocity,AccelerationMIT 2.004 Dynamics and Control II Harry Asada and Franz HoverModeling:Actuator:Voice CoilAir BearingsSpringMEMS AccelerometerRelative Velocity Sensor:Voice Coil• Make your own sketch of the system• Draw an icon model: mass, spring, damper, actuator, etc.• Define parameters• Develop governing equationsMIT 2.004 Dynamics and Control II Harry Asada and Franz Hoverm2m1k1k2b1b2x1x2grounduwA schematic with all the parameters and variables you need!MIT 2.004 Dynamics and Control II Harry Asada and Franz Hover• Understanding the system• Modeling• Parameter


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MIT 2 004 - Tall Building Active Damping

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