Real time tuned mass damper simulation system by Nimisha Rao B.E., Civil and Environmental Engineering R.KN.E.C. Nagpur, India, 2002 Submitted to the Department of Civil and Environmental Engineering in partial fulfillment for the degree of MASTER OF ENGINEERING IN CIVIL AND ENVIRONMENTAL ENGINEERING at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY June 2003 @ 2003 Nimisha Rao. All Rights Reserved. The author hereby grants to MIT permission to reproduce and distributepublicly paper and electronic copies of this thesis document in whole and in part. Author... ............................................... Departncgt of Civil and Environmental Engineering May 9, 2003 Certified by....... / Professor Jerome J. Connor Department of Civil and Environmental Engineering Thesis Supervisor Accepted by Jral Buyukozturk Chairman, Departnent of Committee on Graduate Students MASSACHUSET ISTIiUTE OF TECHNOLOGY JUN 0 2 2003 LIBRARIES Real time tuned mass damper simulation system by Nimisha Rao Submitted to the Department of Civil and Environmental Engineering on May 9, 2003, in partial fulfillment of the requirements for the degree of Master of Engineering in Civil and Environmental Engineering Abstract The major concern in the construction industry in constructing tall structures is vibration due to wind and earthquake. Tuned mass dampers are an effective and practical ways to reduce the effect of vibration in structures. This thesis presents a tool, which simulates the effect of tuned mass dampers on the structure. This tool has been proposed to form a part of the website, moment.mit.edu. Java applets have been used to represent the working of the tuned mass damper, graphically. This would provide a better understanding for the students, so that they can design tuned mass damper effectively and use it appropriately. Strong dynamic figurers and graphs are used to convey the concept and the idea. Thesis Supervisor: Prof. Jerome J. Connor Title: Professor, Civil and Environmental Engineering Real Time Tuned Mass Damper Simulation System -2 - Acknowledgements I would like to thank my advisor, J.J.Connor, for his constant guidance, advice and encouragement through out my stay at MIT. His support, suggestion and comment have been very vital for the completion of this thesis. It is my great privilege and honor to have had the opportunity of working with him for the past one year. I would also like to thank Paul Kassabian, for his constant help and support. His valuable guidance and advice was helpful throughout the writing of my thesis. Finally, I am grateful to all the faculties, students and administrative staffs at the Department of Civil and Environmental Engineering for making my education a valuable learning experience. Family I would like to thanks my parents, brotherand my friend, Sakshi,for their never ending love, patience and support. Without you, I would not be the woman I am today Real Time Tuned Mass Damper Simulation System - 3- Table Of Contents A bstract ............................................................................................................................ 2 A cknow ledgem ents ...................................................................................................... 3 List of Figures and Tables........................................................................................... 5 C hapter 1: Introduction ............................................................................................... 6 C hapter 2:Tuned m ass dam per .................................................................................. 10 2.1 INTRODUCTION TO TUNED M ASS DAMPERS: ........................................................ 10 2.1.1 Working: ......................................................................................................... 11 2.1.2 Performance [11] ...................................................................................... 12 2.1.3 Safety issues [11]:....................................................................................... 12 2.2 CASE STUDIES: EXAMPLE OF EXISTING TUNED MASS DAMPER SYSTEM................. 13 2.2.1. TranslationalTuned Mass Damper: ........................................................... 13 2.2.2 Pendulum Tuned Mass Damper.................................................................. 17 2.3 TYPES OF TUNED MASS DAMPERS......................................................................... 19 Tuned mass damper theory'for SD OF system ...................................................... 19 Tuned mass damper/br MD OF system ................................................................ 22 Chapter 3:M om ent.m it.edu: ...................................................................................... 23 3.1 INTRODUCTION ....................................................................................................... 23 3.2 INTERACTIVE LEARNING MODULE: ....................................................................... 24 Static M odule:.......................................................................................................... 24 Dynam ic Module: ................................................................................................. 27 C hapter 4:The problem and the proposed solution .................................................... 32 4.1 BACKGROUND: ..................................................................................................... 32 4.2 THE PREVIOUS D ESIGN: ...................................................................................... 33 4.3 THE PROPOSED DESIGN: ...................................................................................... 40 C hapter 5:Conclusion: ............................................................................................... 44 References ...................................................................................................................... 46 A ppendices ..................................................................................................................... 47 Real Time Tuned Mass Damper Simulation System -4- List of Figures and Tables Figure 1: W ithout Damper [11] ..................................................................................... 6 Figure 2: W ith Damper [11]..........................................................................................6 Figure 3: Effect of TMD [11]........................................................................................ 7 Figure 4:Tuned Mass [12]...............................................................................................7 Figure 5: Translational tuned mass damper [9].............................................................13 Figure 6: Tuned mass damper for Chiba-Port Tower [9]............................................. 16 Figure 7: TMD-Huis Ten Bosch Tower, Nagasaki [9]................................................ 17 Figure 8:An active tuned mass damper configuration [9]........................................... 17 Figure 9:A simple pendulum tuned mass damper [9]................................................. 18 Figure 10:Simple Pendulum [II]....................................................................................18 Figure 11:Multi-Stage Pendulum [11].......................................................................... 19 Figure 12: Undamped structure: Undamped TMD [9]..................................................20 Figure 13: Undamped Structure: Damped TMD[9]...................................................... 21 Figure 14: Damped Structure: Damped TMD [9]........................................................ 21 Figure 15: Tuned mass damper for MDOF system [9].................................................... 22 Figure 16: Interactive Learning Module on stability of a Single Body [14]................ 24 Figure 17: Simply Supported Beam with 2 Point Loads: [14]...................................... 25 Figure 18: Beam Control [14].......................................................................................... 26 Figure 19: Load Paths [14] .......................................................................................... 26 Figure 20: Tuned Mass Damper [14].......................................................................... 27 Figure 21: Ground Excitation of a Single Degree of Freedom Building [14]...............28 Figure 22: Mass Shaker on the Same Building [14] ................................................... 29 Figure 23: Structural Analysis tool for Trusses [14].................................................... 29 Figure 24: Motion Lab for Undergrads [14].................................................................30 Figure 25: Sakuta's Exercises [14]............................................................................... 30 Figure 26: Previous Design [13]................................................................................. 35 Figure 27: Original Model [13].................................................................................... 35 Figure 28: Previous Design [13]................................................................................. 36 Figure 29: Previous Design [13]................................................................................. 37 Figure 30: Previous Design [13]................................................................................... 37 Figure 31: Previous Design [13]................................................................................. 38 Figure 32: Previous