Technical Papers
Sep 18, 2024

Performance Assessment of Lead Rubber–Isolated Liquid Storage Tanks with Clutching Inertial Systems

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

Abstract

Liquid storage tanks (LSTs)—lifeline structures—must remain functional after earthquake events. Concerns regarding high sloshing and isolator displacement have led to the use of base isolation technology to mitigate seismic responses, especially in far-field (FF) earthquakes. However, near-fault (NF) earthquakes, characterized by high-frequency content and ground-shaking intensity, may aggravate sloshing and isolator displacement. The present work aims to utilize the clutching inertial system (CIS) as a supplemental damper for base-isolated liquid storage tanks (BI-LSTs) and assess its impact on the various response quantities (sloshing and isolator displacement, overall base shear of the tank, force within the isolator and CIS). A bilinear lead rubber bearing (LRB) serves as an isolation device. Since the force-deformation (f-d) behavior of LRB and CIS is inherently nonlinear, a response-independent stochastic linearization technique has been used to assess the equivalent stiffness, damping, and inertance constants. These equivalent constants are further employed to evaluate the stationary peak response of the isolated tanks subjected to the earthquake excitation modeled using the stationary power spectral density function (PSDF). This study explores how CIS inertance affects system parameters such as isolation damping, isolation period, and tank aspect ratio (both broad and slender). It is noted that an optimal inertance of CIS exists, for which the overall base shear of the tank is minimum for both broad and slender tank configurations. The research includes testing tank configurations against 11 NF and 11 FF earthquake excitations. The effectiveness of the clutching inertial system in mitigating seismic responses of isolated tanks is well established by comparing results under real and stochastic earthquake excitations.

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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

Bagheri, S., and M. Farajian. 2018. “The effects of input earthquake characteristics on the nonlinear dynamic behavior of FPS isolated liquid storage tanks.” J. Vib. Control 24 (7): 1264–1282. https://doi.org/10.1177/1077546316655914.
Cao, L., and C. Li. 2022. “A high performance hybrid passive base-isolated system.” Struct. Control Health Monit. 29 (3): e2887. https://doi.org/10.1002/stc.2887.
Compagnoni, M. E., O. Curadelli, and D. Ambrosini. 2018. “Experimental study on the seismic response of liquid storage tanks with Sliding Concave Bearings.” J. Loss Prev. Process Ind. 55 (Apr): 1–9. https://doi.org/10.1016/j.jlp.2018.05.009.
De Domenico, D., and G. Ricciardi. 2018. “An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI).” Earthquake Eng. Struct. Dyn. 47 (5): 1169–1192. https://doi.org/10.1002/eqe.3011.
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.
Di Matteo, A., C. Masnata, C. Adam, and A. Pirrotta. 2022. “Optimal design of tuned liquid column damper inerter for vibration control.” Mech. Syst. Signal Process. 167 (Nov): 108553. https://doi.org/10.1016/j.ymssp.2021.108553.
Elias, S., and S. Djerouni. 2024. “Optimum tuned mass damper inerter under near-fault pulse-like ground motions of buildings including soil-structure interaction.” J. Build. Eng. 85 (Feb): 108674. https://doi.org/10.1016/j.jobe.2024.108674.
Forcellini, D. 2018. “Seismic assessment of a benchmark based isolated ordinary building with soil structure interaction.” Bull. Earthquake Eng. 16 (5): 2021–2042. https://doi.org/10.1007/s10518-017-0268-6.
Graham, E. W., and A. M. Rodriguez. 1952. “The characteristics of fuel motion which affect airplane dynamics.” J. Appl. Mech. 19 (3): 381–388. https://doi.org/10.1115/1.4010515.
Haroun, M. A., and G. W. Housner. 1981. “Earthquake response of deformable liquid storage tanks.” J. Appl. Mech. 48 (2): 411–418. https://doi.org/10.1115/1.3157631.
Housner, G. W. 1957. “Dynamic pressures on accelerated fluid containers.” Bull. Seismol. Soc. Am. 47 (1): 15–35. https://doi.org/10.1785/BSSA0470010015.
Housner, G. W. 1963. “The dynamic behavior of water tanks.” Bull. Seismol. Soc. Am. 53 (2): 381–387. https://doi.org/10.1785/BSSA0530020381.
Islam, N. U., and R. S. Jangid. 2022. “Optimum parameters of tuned inerter damper for damped structures.” J. Sound Vib. 537 (Sep): 117218. https://doi.org/10.1016/j.jsv.2022.117218.
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 (Jun): 791–809. https://doi.org/10.1016/j.istruc.2023.02.065.
Islam, N. U., and R. S. Jangid. 2023b. “Seismic performance and control of elevated liquid storage tanks with negative stiffness and inerter-based dampers.” Pract. Period. Struct. Des. Constr. 28 (3): 1–13. 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 (Mar): 105860. https://doi.org/10.1016/j.istruc.2024.105860.
Jadhav, M. B., and R. S. Jangid. 2004. “Response of base-isolated liquid storage tanks.” Shock Vib. 11 (1): 33–45. https://doi.org/10.1155/2004/276030.
Jangid, R. S. 2010. “Stochastic response of building frames isolated by lead–rubber bearings.” Struct. Control Health Monit. 17 (1): 1–22. https://doi.org/10.1002/stc.266.
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. 2023. “Seismic performance of supplemental inerter and spring with on-off effects for base-isolated structures.” J. Infrastruct. Intell. Resilience 2 (2): 100038. https://doi.org/10.1016/j.iintel.2023.100038.
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, 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.
Kanai, K. 1957. “Semi-empirical formula for the seismic characteristics of ground (Structure).” Transact. Archit. Inst. Jpn. 57 (1): 281–284. https://doi.org/10.3130/aijsaxx.57.1.0_281.
Kiureghian, A. D., and A. Neuenhofer. 1992. “Response spectrum method for multi-support seismic excitations.” Earthquake Eng. Struct. Dyn. 21 (8): 713–740. https://doi.org/10.1002/eqe.4290210805.
Labaf, D. Z., M. de Angelis, and D. Pietrosanti. 2020. “Vibration control of steel liquid storage tanks equipped with inerter-based isolation systems.” In Vol. 1 of EASD Procedia EURODYN, 1556–1567. Athens, Greece: European Association for Structural Dynamics. https://doi.org/10.47964/1120.9126.20214.
Li, C., K. Chang, L. Cao, and Y. Huang. 2021. “Performance of a nonlinear hybrid base isolation system under the ground motions.” Soil Dyn. Earthquake Eng. 143 (Sep): 106589. https://doi.org/10.1016/j.soildyn.2021.106589.
Liang, Q., and L. Li. 2021. “Analysis of the TMD enhanced base isolation system (BIS) using clutching inerter damper.” In Proc., Earth and Space 2021, 1375–1393. Reston, VA: ASCE.
Liang, Q., L. Li, and Y. Zhang. 2021. “Structural optimal hybrid control strategies employing dynamic dual units: Inerter and spring.” Earthquake Eng. Struct. Dyn. 50 (11): 2961–2979. https://doi.org/10.1002/eqe.3496.
Lin, G.-L., C.-C. Lin, Y.-H. Li, and T.-T. Lin. 2022. “Theoretical and experimental analysis of an electromagnetic seismic isolation system.” Eng. Struct. 250 (Feb): 113411. https://doi.org/10.1016/j.engstruct.2021.113411.
Luo, C., H. Mu, H. Wang, X. Guo, D. Liu, and H. Feng. 2023. “Study on the seismic mitigation effects of inerter isolated storage tanks.” Soil Dyn. Earthquake Eng. 173 (July): 108140. https://doi.org/10.1016/j.soildyn.2023.108140.
Ma, R., K. Bi, and H. Hao. 2021. “Inerter-based structural vibration control: A state-of-the-art review.” Eng. Struct. 243 (Dec): 112655. https://doi.org/10.1016/j.engstruct.2021.112655.
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.
Makris, N., and G. Moghimi. 2019. “Displacements and forces in structures with inerters when subjected to earthquakes.” J. Struct. Eng. 145 (2): 04018260. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002267.
Málaga-Chuquitaype, C., C. Menendez-Vicente, and R. Thiers-Moggia. 2019. “Experimental and numerical assessment of the seismic response of steel structures with clutched inerters.” Soil Dyn. Earthquake Eng. 121 (Apr): 200–211. https://doi.org/10.1016/j.soildyn.2019.03.016.
Masnata, C., A. Di Matteo, C. Adam, and A. Pirrotta. 2020. “Smart structures through nontraditional design of tuned mass damper inerter for higher control of base isolated systems.” Mech. Res. Commun. 105 (Jun): 103513. https://doi.org/10.1016/j.mechrescom.2020.103513.
Panchal, V. R., and R. S. Jangid. 2012. “Behaviour of liquid storage tanks with VCFPS under near-fault ground motions.” Struct. Infrastruct. Eng. 8 (1): 71–88. https://doi.org/10.1080/15732470903300919.
Prakash, S., and R. S. Jangid. 2022. “Optimum parameters of tuned mass damper-inerter for damped structure under seismic excitation.” Int. J. Dyn. Control 10 (5): 1322–1336. https://doi.org/10.1007/s40435-022-00911-x.
Priestley, M. J. N., J. H. Wood, and B. J. Davidson. 1986. “Seismic design of storage tanks.” Bull. N. Z. Natl. Soc. Earthquake Eng. 19 (4): 272–284. https://doi.org/10.5459/bnzsee.19.4.272-284.
Rai, D. C. 2003. “Performance of elevated tanks in Mw 7.7 Bhuj earthquake of January 26th, 2001.” Proc. Indian Acad. Sci. Earth Planet. Sci. 112 (3): 421–429. https://doi.org/10.1007/BF02709269.
Rawat, A., and V. Matsagar. 2022. “An oblate spheroid base isolator and floating surface diaphragm for seismic protection of liquid storage tank.” J. Earthquake Eng. 26 (10): 5447–5475. https://doi.org/10.1080/13632469.2021.1875939.
Roberts, J. B., and P. D. Spanos. 2003. Random vibration and statistical linearization. Mineola, NY: Courier Dover Publications.
Safari, S., and R. Tarinejad. 2018. “Parametric study of stochastic seismic responses of base-isolated liquid storage tanks under near-fault and far-fault ground motions.” J. Vib. Control 24 (24): 5747–5764. https://doi.org/10.1177/1077546316647576.
Saha, S. K., V. A. Matsagar, and A. K. Jain. 2013. “Comparison of base-isolated liquid storage tank models under bi-directional earthquakes.” Nat. Sci. 5 (8): 27–37. https://doi.org/10.4236/ns.2013.58A1004.
Shah, A., and V. R. Panchal. 2017. “Earthquake response of TFPS-isolated elevated steel water tank under near-fault ground motions.” Charusat 1 (1): 31–36. https://doi.org/10.29007/h56x.
Shrimali, M. K., and R. S. Jangid. 2002. “A comparative study of performance of various isolation systems for liquid storage tanks.” Int. J. Struct. Stab. Dyn. 2 (4): 573–591. https://doi.org/10.1142/S0219455402000725.
Shrimali, M. K., and R. S. Jangid. 2003. “Seismic response of base-isolated liquid storage tanks.” J. Vib. Control 9 (10): 1201–1218. https://doi.org/10.1177/107754603030612.
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.
Stanikzai, M. H., S. Elias, and Y. Chae. 2022. “Recent advances in hybrid vibration-control systems.” Pract. Period. Struct. Des. Constr. 27 (3): 03122003. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000685.
Tajimi, H. 1960. “A statistical method for determining the maximum response of a building structure during an earthquake.” In Proc., 2nd World Conf. Earthquake Engineering. Tokyo: Gakujutsu Bunken Fukyu-kai.
Tang, Z., H. Zhu, H. Luo, and T. Li. 2024. “Performance of a force-restricted viscous mass damper incorporated into base-isolated liquid storage tanks.” Structures 61 (Feb): 106002. https://doi.org/10.1016/j.istruc.2024.106002.
Wagg, D. J. 2021. “A review of the mechanical inerter: Historical context, physical realisations and nonlinear applications.” Nonlinear Dyn. 104 (1): 13–34. https://doi.org/10.1007/s11071-021-06303-8.
Wang, J., C. Zhang, and Z. Liu. 2022. “Clutching inerters enhanced tuned mass dampers for structural response mitigation under impulsive and seismic excitations.” Struct. Control Health Monit. 29 (2): e2881. https://doi.org/10.1002/stc.2881.
Zahedin Labaf, D., M. De Angelis, and M. Basili. 2023. “Multi-objective optimal design and seismic assessment of an inerter-based hybrid control system for storage tanks.” Bull. Earthquake Eng. 21 (3): 1481–1507. https://doi.org/10.1007/s10518-022-01457-1.
Zhang, R., and M. Cao. 2022. “Study on vibration control and parameters influence of cable inerter viscous damping system.” Shock Vib. 2022 (Apr): 1–18. https://doi.org/10.1155/2022/2983700.
Zhang, R., D. Weng, and Q. Ge. 2014. “Shaking table experiment on a steel storage tank with multiple friction pendulum bearings.” Struct. Eng. Mech. 52 (5): 875–887. https://doi.org/10.12989/sem.2014.52.5.875.
Zhang, S., R. Zhang, and Z. Zhao. 2017. “Demand-based optimal design of storage tank with inerter system.” Shock Vib. 2017 (1): 2956153. https://doi.org/10.1155/2017/2956153.

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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 8, 2024
Accepted: Jun 21, 2024
Published online: Sep 18, 2024
Published in print: Dec 1, 2024
Discussion open until: Feb 18, 2025

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Research Scholar, Dept. of Civil Engineering, Indian Institute of Technology Bombay, Mumbai, Maharashtra 400076, India (corresponding author). ORCID: https://orcid.org/0009-0009-7862-6293. 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]

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