University of Tennessee, Knoxville TRACE: Tennessee Research and Creative Exchange Doctoral Dissertations Graduate School 5-2020 Passive Protection of Structures using Innovative Rotational Inertia Dampers and Rotational Energy Conversion Devices Abdollah Javidialesaadi University of Tennessee, [email protected] Follow this and additional works at: https://trace.tennessee.edu/utk_graddiss Recommended Citation Javidialesaadi, Abdollah, "Passive Protection of Structures using Innovative Rotational Inertia Dampers and Rotational Energy Conversion Devices. " PhD diss., University of Tennessee, 2020. https://trace.tennessee.edu/utk_graddiss/5860 This Dissertation is brought to you for free and open access by the Graduate School at TRACE: Tennessee Research and Creative Exchange. It has been accepted for inclusion in Doctoral Dissertations by an authorized administrator of TRACE: Tennessee Research and Creative Exchange. For more information, please contact [email protected]. To the Graduate Council: I am submitting herewith a dissertation written by Abdollah Javidialesaadi entitled "Passive Protection of Structures using Innovative Rotational Inertia Dampers and Rotational Energy Conversion Devices." I have examined the final electronic copy of this dissertation for form and content and recommend that it be accepted in partial fulfillment of the equirr ements for the degree of Doctor of Philosophy, with a major in Civil Engineering. Nicholas Edward Wierschem, Major Professor We have read this dissertation and recommend its acceptance: Mark Denavit, Brian Phillips, Eric Wade Accepted for the Council: Dixie L. Thompson Vice Provost and Dean of the Graduate School (Original signatures are on file with official studentecor r ds.) Passive Protection of Structures using Innovative Rotational Inertia Dampers and Rotational Energy Conversion Devices A Dissertation Presented for the Doctor of Philosophy Degree The University of Tennessee, Knoxville Abdollah Javidialesaadi May 2020 Copyright © 2020 by Abdollah Javidialesaadi All rights reserved. ii DEDICATION I dedicate this dissertation to my sister Dr. Roya Javidialessadi iii ACKNOWLEDGEMENTS I would like to express the deepest appreciation to my committee chair and my advisor, Dr. Nicholas Edward Wierschem. Nicholas is one of the smartest people I know. He is a perfect advisor, professional and nice person. He is my primary resource for getting my questions answered and without his guidance and supports this dissertation would not have been possible. I would like to express my appreciation to my committee members Dr. Mark Deviant, Dr. Brian Philips, and Dr. Eric Wade for their guidance and support during my PhD studies. In addition, I would like to thank my family and friend for their support and patience during my PhD studies. Finally, I would like to thank all the faculty members and staff of the Department of Civil and Environmental Engineering department at the University of Tennessee, Knoxville. iv ABSTRACT Civil structures, including bridges, buildings, roads, railways, and utility networks, are vital parts of modern life; therefore, it is essential to protect these structures and systems against natural and artificial hazards. Some hazards, such as earthquake or extreme winds, can put structures in danger of damage or destruction. In some cases, even moderate amplitude vibrations decrease the serviceability of structures. Considerable research has been conducted for the purpose of reducing the effects of dynamic loads on structures due to external natural and artificial excitations. Accordingly, many different structural control technologies have been developed and utilized in civil structures in recent decades. Active, semi–active, and passive control strategies have been proposed, developed, and utilized for the purpose of protecting structures against various types of excitations and ensuring occupant safety and structural serviceability. Unlike semi-active and active control devices, passive control devices can adjust the dynamic properties of a structure and improve its energy dissipation potential without relying on a controller, sensor, and power. Because of these advantages, passive control systems are, in general, more accepted by the construction industry and have been increasingly utilized by practicing structural engineers. Significant research efforts have been made in the past and are currently ongoing to develop and improve these passive control systems including systems exploiting rotational inertial devices. There is significant potential for the further development and advancement of rotational inertial devices such that their effectiveness is increased and they are brought closer to commercial implementation. Inerter-based passive control devices have begun to receive a significant amount of attention in the field of passive control in the past few years; however, there is still significant room for v advancement. These advances include contributions to the closed-form and numerical optimization of these devices, the evaluation of the performance of these devices for loading scenarios not yet considered, and the proposal of novel rotational inertia devices for passive control. vi TABLE OF CONTENTS Chapter One: INTRODUCTION .......................................................................... 1 Chapter Two: Literature Review.......................................................................... 7 Introduction ..................................................................................................... 8 Tuned mass damper ....................................................................................... 8 Inerter ............................................................................................................ 14 Inerter-based mass dampers ........................................................................ 16 Inerter-based dampers .................................................................................. 20 Chapter Three: Optimal design of rotational inertial double tuned mass dampers under random excitation ................................................................................... 24 Abstract ......................................................................................................... 25 Introduction ................................................................................................... 26 Rotational inertial double tuned mass damper (RIDTMD) ............................. 30 TMD Optimization .......................................................................................... 34 RIDTMD Optimum Design: Force Excitation Case ........................................ 35 RIDTMD Optimum Design: Base Excitation Case ......................................... 39 Optimum design values ................................................................................. 42 Optimum secondary mass ratio and H2 performance .................................. 46 Conclusions ................................................................................................... 51 Chapter Four: Design and performance evaluation of inerter-based tuned mass dampers for a passive control of structure under the ground acceleration ........ 54 Abstract ......................................................................................................... 55 vii Introduction ................................................................................................... 56 Inerter –based tuned mass dampers ............................................................. 59 Inerter –based tuned mass dampers (C1) ..................................................... 61 Inerter –based tuned mass dampers (C2) ..................................................... 63 Inerter –based tuned mass dampers (C3) ..................................................... 63 Transfer functions of C1, C2, and C3 ............................................................ 64 Random Ground Excitation and H2 Optimum Designs ................................. 67 Harmonic Excitation and H-Infinity Optimum Designs ................................... 73 Seismic excitation .......................................................................................... 77 Conclusions ................................................................................................... 91 Chapter Five: Three element vibration absorber Inerter for passive control of SDOF structures ............................................................................................... 94 Abstract ......................................................................................................... 95 Introduction ................................................................................................... 96 Rotational inertial mass ................................................................................. 99 Tuned mass-damper-inerter (TMDI) ............................................................ 101 Three-element vibration absorber-inerter .................................................... 103 H 2 Optimum Design of the TEVAI .............................................................. 106 Performance Evaluation of the TEVAI .................................................. 111 H Optimum design of the TEVAI ............................................................... 116 H performance of the TEVAI ..................................................................... 120 Conclusion .................................................................................................