Technical Papers
Sep 26, 2024

Seismic Control and Performance Assessment of Isolated Bridges Using Integration of Negative Stiffness and Inerter-Based Supplemental Control Devices

Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10, Issue 4

Abstract

The present study introduces inerter-based absorbers (IVAs), negative stiffness dampers (NSDs), and their synergistic combination as supplemental control strategies for a multispan continuous deck isolated bridge structure. An inerter functions as a device capable of generating force proportional to relative acceleration between its terminals. Conversely, a passive negative stiffness mechanism is designed to generate force that aids in motion. Specifically, tuned inerter dampers (TIDs), negative stiffness amplifying dampers (NSADs or simply NSDs), and their synergistic combination in the form of negative stiffness inerter dampers (NSIDs) are introduced at bearing levels as supplemental dissipation mechanisms or control devices. The continuous-span bridge is simplified and modelled as a reduced lumped mass system by appropriate static condensation of the degrees of freedom. The isolated bridge with supplemental control devices is subjected to typical stationary ground motion with specified power spectral density. Stochastic responses such as mean square shear at the bearing level and pier base, deck acceleration, and bearing displacement are evaluated. The stochastic assessment of three negative stiffness and inerter mechanisms, viz., NSD, TID, and NSID, shows that biobjective optimization is necessary for the best control performance. An optimization framework is also introduced, minimizing the stochastic responses and obtaining the corresponding optimal parameters. A set of real earthquake records containing near fault (NF) and far field (FF) types of excitations are used for the performance assessment of optimized control devices. Among the three dissipation mechanisms, optimal NSID performs better, and the required optimum parameters are lower in magnitude, forming an important design criterion.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

References

Abdel Raheem, S. E. 2009. “Pounding mitigation and unseating prevention at expansion joints of isolated multi-span bridges.” Eng. Struct. 31 (10): 2345–2356. https://doi.org/10.1016/j.engstruct.2009.05.010.
Agrawal, A., P. Tan, S. Nagarajaiah, and J. Zhang. 2009. “Benchmark structural control problem for a seismically excited highway bridge—Part I: Phase I problem definition.” Struct. Control Health Monit. 16 (5): 509–529. https://doi.org/10.1002/stc.301.
Attary, N., M. Symans, S. Nagarajaiah, A. M. Reinhorn, M. C. Constantinou, A. A. Sarlis, D. T. R. Pasala, and D. P. Taylor. 2015. “Experimental shake table testing of an adaptive passive negative stiffness device within a highway bridge model.” Earthquake Spectra 31 (4): 2163–2194. https://doi.org/10.1193/101913EQS273M.
Clough, R. W., and J. Penzien. 1975. Dynamics of structures. New York: McGraw-Hill.
De Angelis, M., A. Giaralis, F. Petrini, and D. Pietrosanti. 2019. “Optimal tuning and assessment of inertial dampers with grounded inerter for vibration control of seismically excited base-isolated systems.” Eng. Struct. 196 (Jun): 109250. https://doi.org/10.1016/j.engstruct.2019.05.091.
De Domenico, D., and G. Ricciardi. 2018. “Optimal design and seismic performance of tuned mass damper inerter (TMDI) for structures with nonlinear base isolation systems.” Earthquake Eng. Struct. Dyn. 47 (12): 2539–2560. https://doi.org/10.1002/eqe.3098.
De Domenico, D., G. Ricciardi, and R. Zhang. 2020. “Optimal design and seismic performance of tuned fluid inerter applied to structures with friction pendulum isolators.” Soil Dyn. Earthquake Eng. 132 (Jun): 106099. https://doi.org/10.1016/j.soildyn.2020.106099.
Gao, H., H. Wang, J. Li, Z. Wang, R. Liang, Z. Xu, and Y. Ni. 2021. “Optimum design of viscous inerter damper targeting multi-mode vibration mitigation of stay cables.” Eng. Struct. 226 (Feb): 111375. https://doi.org/10.1016/j.engstruct.2020.111375.
Gao, H., C. Xing, H. Wang, J. Li, and Y. Zhang. 2023. “Performance improvement and demand-oriented optimum design of the tuned negative stiffness inerter damper for base-isolated structures.” J. Build. Eng. 63 (Jan): 105488. https://doi.org/10.1016/j.jobe.2022.105488.
Hu, Y., M. Z. Q. Chen, Z. Shu, and L. Huang. 2015. “Analysis and optimisation for inerter-based isolators via fixed-point theory and algebraic solution.” J. Sound Vib. 346 (1): 17–36. https://doi.org/10.1016/j.jsv.2015.02.041.
Hwang, J. S., and L. H. Sheng. 1994. “Equivalent elastic seismic analysis of base-isolated bridges with lead-rubber bearings.” Eng. Struct. 16 (3): 201–209. https://doi.org/10.1016/0141-0296(94)90078-7.
Islam, N. U., and R. Jangid. 2022. “Optimum parameters of tuned inerter damper for damped structures.” J. Sound Vib. 537 (Jul): 117218. https://doi.org/10.1016/j.jsv.2022.117218.
Islam, N. U., and R. S. Jangid. 2021. “Seismic performance of the inerter and negative stiffness–based dampers for vibration control of structures.” Front. Built Environ. 7 (Dec): 773622. https://doi.org/10.3389/fbuil.2021.773622.
Islam, N. U., and R. S. Jangid. 2023a. “Closed form expressions for H2 optimal control of negative stiffness and inerter-based dampers for damped structures.” Structures 50 (Nov): 791–809. https://doi.org/10.1016/j.istruc.2023.02.065.
Islam, N. U., and R. S. Jangid. 2023b. “Optimum parameters and performance of negative stiffness and inerter based dampers for base-isolated structures.” Bull. Earthquake Eng. 21 (3): 1411–1438. https://doi.org/10.1007/s10518-022-01372-5.
Islam, N. U., and R. S. Jangid. 2023c. “Seismic performance and control of elevated liquid storage tanks with negative stiffness and inerter-based dampers.” Pract. Period. Struct. Des. Constr. 28 (3): 04023022. https://doi.org/10.1061/PPSCFX.SCENG-1306.
Islam, N. U., and R. S. Jangid. 2024. “Negative stiffness and inerter-based dampers: Novel seismic response control approach for base isolated liquid storage tanks.” Structures 60 (Jan): 105860. https://doi.org/10.1016/j.istruc.2024.105860.
Jangid, R. S. 2004. “Seismic response of isolated bridges.” J. Bridge Eng. 9 (2): 156–166. https://doi.org/10.1061/(ASCE)1084-0702(2004)9:2(156).
Jangid, R. S. 2008. “Equivalent linear stochastic seismic response of isolated bridges.” J. Sound Vib. 309 (3–5): 805–822. https://doi.org/10.1016/j.jsv.2007.07.071.
Jangid, R. S. 2021. “Optimum tuned inerter damper for base-isolated structures.” J. Vib. Eng. Technol. 9 (7): 1483–1497. https://doi.org/10.1007/s42417-021-00309-7.
Jangid, R. S. 2022. “Seismic performance assessment of clutching inerter damper for isolated bridges.” Pract. Period. Struct. Des. Constr. 27 (2): 04021078. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000661.
Jangid, R. S. 2024. “The role of a simple inerter in seismic base isolation.” Appl. Sci. 14 (3): 1056. https://doi.org/10.3390/app14031056.
Jiang, S., K. Bi, R. Ma, Q. Han, and X. Du. 2023. “Influence of spatially varying ground motions on the seismic responses of bridge structures with KDampers.” Eng. Struct. 277 (Jul): 115461. https://doi.org/10.1016/j.engstruct.2022.115461.
Jiang, Y., Z. Zhao, R. Zhang, D. De Domenico, and C. Pan. 2020. “Optimal design based on analytical solution for storage tank with inerter isolation system.” Soil Dyn. Earthquake Eng. 129 (Nov): 105924. https://doi.org/10.1016/j.soildyn.2019.105924.
Kapasakalis, K. A., I. A. Antoniadis, and E. J. Sapountzakis. 2020. “Performance assessment of the KDamper as a seismic Absorption Base.” Struct. Control Health Monit. 27 (4): 1–27. https://doi.org/10.1002/stc.2482.
Kunde, M. C., and R. S. Jangid. 2003. “Seismic behavior of isolated bridges: A-state-of-the-art review.” Electron. J. Struct. Eng. 3 (2): 140–170. https://doi.org/10.56748/ejse.335.
Kunde, M. C., and R. S. Jangid. 2006. “Effects of pier and deck flexibility on the seismic response of isolated bridges.” J. Bridge Eng. 11 (1): 109–121. https://doi.org/10.1061/(ASCE)1084-0702(2006)11:1(109).
Lazar, I. F., S. A. Neild, and D. J. Wagg. 2014. “Using an inerter-based device for structural vibration suppression.” Earthquake Eng. Struct. Dyn. 43 (8): 1129–1147. https://doi.org/10.1002/eqe.2390.
Li, H.-N., T. Sun, Z. Lai, and S. Nagarajaiah. 2018. “Effectiveness of negative stiffness system in the benchmark structural-control problem for seismically excited highway bridges.” J. Bridge Eng. 23 (3): 04018001. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001136.
Li, J., T. Peng, and Y. Xu. 2008. “Damage investigation of girder bridges under the Wenchuan earthquake and corresponding seismic design recommendations.” Earthquake Eng. Eng. Vibr. 7 (4): 337–344. https://doi.org/10.1007/s11803-008-1005-6.
Liang, R., H. Wang, J. Li, H. Gao, W. Zheng, and Z. Xu. 2021. “Multiple tuned inerter-based dampers for seismic response mitigation of continuous girder bridges.” Soil Dyn. Earthquake Eng. 151 (Dec): 106954. https://doi.org/10.1016/j.soildyn.2021.106954.
Luo, H., R. Zhang, and D. Weng. 2016. “Mitigation of liquid sloshing in storage tanks by using a hybrid control method.” Soil Dyn. Earthquake Eng. 90 (Jun): 183–195. https://doi.org/10.1016/j.soildyn.2016.08.037.
Luo, H., H. Zhu, and K. Ikago. 2023. “Optimal design of negative-stiffness dampers for improved efficiency of structural seismic isolation.” J. Build. Eng. 68 (Dec): 106172. https://doi.org/10.1016/j.jobe.2023.106172.
Ma, R., K. Bi, and H. Hao. 2020. “Heave motion mitigation of semi-submersible platform using inerter-based vibration isolation system (IVIS).” Eng. Struct. 219 (Sep): 110833. https://doi.org/10.1016/j.engstruct.2020.110833.
Makris, N., and G. Kampas. 2016. “Seismic protection of structures with supplemental rotational inertia.” J. Eng. Mech. 142 (11): 04016089. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001152.
Marian, L., and A. Giaralis. 2014. “Optimal design of a novel tuned mass-damper–inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems.” Probab. Eng. Mech. 38 (Feb): 156–164. https://doi.org/10.1016/j.probengmech.2014.03.007.
Matsagar, V. A., and R. S. Jangid. 2008. “Base isolation for seismic retrofitting of structures.” Pract. Period. Struct. Des. Constr. 13 (4): 175–185. https://doi.org/10.1061/(ASCE)1084-0680(2008)13:4(175).
Mishra, S. K., S. Gur, K. Roy, and S. Chakraborty. 2016. “Response of bridges isolated by shape memory–alloy rubber bearing.” J. Bridge Eng. 21 (3): 04015071. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000837.
Pasala, D. T. R., A. A. Sarlis, S. Nagarajaiah, A. M. Reinhorn, M. C. Constantinou, and D. Taylor. 2013. “Adaptive negative stiffness: New structural modification approach for seismic protection.” J. Struct. Eng. 139 (7): 1112–1123. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000615.
Sarlis, A. A., D. T. R. Pasala, M. C. Constantinou, A. M. Reinhorn, S. Nagarajaiah, and D. P. Taylor. 2013. “Negative stiffness device for seismic protection of structures.” J. Struct. Eng. 139 (7): 1124–1133. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000616.
Sarlis, A. A., D. T. R. Pasala, M. C. Constantinou, A. M. Reinhorn, S. Nagarajaiah, and D. P. Taylor. 2016. “Negative stiffness device for seismic protection of structures: Shake table testing of a seismically isolated structure.” J. Struct. Eng. 142 (5): 04016005. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001455.
Shen, J., M.-H. Tsai, K.-C. Chang, and G. C. Lee. 2004. “Performance of a seismically isolated bridge under near-fault earthquake ground motions.” J. Struct. Eng. 130 (6): 861–868. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:6(861).
Smith, M. C. 2002. “Synthesis of mechanical networks: The inerter.” IEEE Trans. Autom. Control 47 (10): 1648–1662. https://doi.org/10.1109/TAC.2002.803532.
Smith, M. C. 2020. “The inerter: A retrospective.” Annu. Rev. Control Rob. Auton. Syst. 3 (1): 361–391. https://doi.org/10.1146/annurev-control-053018-023917.
Soneji, B. B., and R. S. Jangid. 2006. “Effectiveness of seismic isolation for cable-stayed bridges.” Int. J. Struct. Stab. Dyn. 6 (1): 77–96. https://doi.org/10.1142/S0219455406001836.
Song, J., K. Bi, R. Ma, K. Xu, and Q. Han. 2023. “Optimum design and performance evaluation of inerter-based dampers for seismic protection of adjacent bridges.” Structures 55 (Apr): 1277–1291. https://doi.org/10.1016/j.istruc.2023.06.093.
Su, N., J. Bian, S. Peng, Z. Chen, and Y. Xia. 2023. “Balancing static and dynamic performances of TMD with negative stiffness.” Int. J. Mech. Sci. 243 (Sep): 108068. https://doi.org/10.1016/j.ijmecsci.2022.108068.
Tiwari, N. D., A. Gogoi, B. Hazra, and Q. Wang. 2021. “A shape memory alloy-tuned mass damper inerter system for passive control of linked-SDOF structural systems under seismic excitation.” J. Sound Vib. 494 (Feb): 115893. https://doi.org/10.1016/j.jsv.2020.115893.
Wang, H., W. Shen, Y. Li, H. Zhu, and S. Zhu. 2021. “Dynamic behavior and seismic performance of base-isolated structures with electromagnetic inertial mass dampers: Analytical solutions and simulations.” Eng. Struct. 246 (Jan): 113072. https://doi.org/10.1016/j.engstruct.2021.113072.
Wang, M., F. Sun, and S. Nagarajaiah. 2019. “Simplified optimal design of MDOF structures with negative stiffness amplifying dampers based on effective damping.” Struct. Des. Tall Special Build. 28 (15): e1664. https://doi.org/10.1002/tal.1664.
Wang, Q., Z. Zheng, H. Qiao, and D. De Domenico. 2023. “Seismic protection of reinforced concrete continuous girder bridges with inerter-based vibration absorbers.” Soil Dyn. Earthquake Eng. 164 (Apr): 107526. https://doi.org/10.1016/j.soildyn.2022.107526.
Wang, Y.-P., L.-L. Chung, and W.-H. Liao. 1998. “Seismic response analysis of bridges isolated with friction pendulum bearings.” Earthquake Eng. Struct. Dyn. 27 (10): 1069–1093. https://doi.org/10.1002/(SICI)1096-9845(199810)27:10%3C1069::AID-EQE770%3E3.0.CO;2-S.
Wen, Y.-K. 1976. “Method for random vibration of hysteretic systems.” J. Eng. Mech. Div. 102 (2): 249–263. https://doi.org/10.1061/JMCEA3.0002106.
Wilson, J. C. 2003. “Repair of new long-span bridges damaged by the 1995 Kobe earthquake.” J. Perform. Constr. Facil. 17 (4): 196–205. https://doi.org/10.1061/(ASCE)0887-3828(2003)17:4(196).
Zhao, Z., R. Zhang, Y. Jiang, and C. Pan. 2019. “A tuned liquid inerter system for vibration control.” Int. J. Mech. Sci. 164 (Sep): 105171. https://doi.org/10.1016/j.ijmecsci.2019.105171.
Zhiqiang, W., and G. C. Lee. 2009. “A comparative study of bridge damage due to the Wenchuan, Northridge, Loma Prieta and San Fernando earthquakes.” Earthquake Eng. Eng. Vibr. 8 (2): 251–261. https://doi.org/10.1007/s11803-009-9063-y.

Information & Authors

Information

Published In

Go to ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10Issue 4December 2024

History

Received: Mar 9, 2024
Accepted: Jul 9, 2024
Published online: Sep 26, 2024
Published in print: Dec 1, 2024
Discussion open until: Feb 26, 2025

Permissions

Request permissions for this article.

Authors

Affiliations

Postdoctoral Fellow, Dept. of Civil Engineering, Indian Institute of Technology Bombay, Mumbai, Maharashtra 400076, India (corresponding author). ORCID: https://orcid.org/0000-0002-8689-7220. Email: [email protected]
Professor, Dept. of Civil Engineering, Indian Institute of Technology Bombay, Mumbai, Maharashtra 400076, India. ORCID: https://orcid.org/0000-0002-2408-2368. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share