Seismic effectiveness and robustness of tuned mass dampers versus nonlinear energy sinks in a lifecycle cost perspective
Open accessAbstract
Tuned mass dampers (TMDs) and nonlinear energy sinks (NESs) are two viable options for passively absorbing structural vibrations. In seismic applications, a trade-off exists in their performance, because TMDs’ effectiveness varies with the structural stiffness while NESs’ effectiveness varies with the earthquake intensity. To investigate this trade-off systematically, a lifecycle cost- (LCC-) oriented robust analysis and design method is here proposed, in which the effectiveness of a solution is measured by the reduction it entails in the expected cost of future seismic losses. In it, structural stiffness variability is modelled using a worst-case approach with lower and upper bounds, while seismic intensity variability is inherently captured by the incremental dynamic analyses underlying every LCC evaluation. The resulting worst-case lifetime cost provides a rational metric for discussing pros and cons of TMDs and NESs, and becomes the objective function for their robust optimization. The method is applied to the design of TMDs and NESs on a variety of single- and multi-story linear building models, located in a moderate-to-high seismic hazard region. Mass ratios from 1 to 10% and structural stiffness reductions up to 4 times are considered. Results show that TMDs are consistently more effective than NESs even in the presence of large stiffness reductions, provided that structural stiffness uncertainty is considered in design. They also show that a conventional robust H∞ design provides for TMDs a solution which is very close to that obtained by minimizing the proposed LCC metric.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Compared with stiffness-based Type I NES, the TMD stays more efficient in seismic mitigation.
“However, compared with stiffnessbased Type I NES, the TMD stays more efficient in seismic mitigation [254].”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [254]
Cites
Vamvatsikos, D., & Cornell, C. A. (2001) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.141 · Cited by 4,293 · see citing works
Genetic Algorithms in Search, Optimization & Machine Learning
Goldberg, D. E. (1989) · Medical Entomology and Zoology · Cited by 2,304 · see citing works
BISHOP, R. E. D. (1957) · Nature · doi:10.1038/179504a0 · Cited by 1,645 · see citing works
Recommended Seismic Design Criteria for New Steel Moment-Frame Buildings
Hamburger, R. O., Hooper, J., Sabol, T. A., Shaw, R. E., Reaveley, L. D., Tide, R. H. R., & Hall, W. J. (2000) · Cited by 774 · see citing works
Gendelman, O., Manevitch, L. I., Vakakis, A. F., & M’Closkey, R. (2001) · Journal of Applied Mechanics · doi:10.1115/1.1345524 · Cited by 665 · see citing works
Nonlinear dissipative devices in structural vibration control: A review
Lu, Z., Wang, Z., Zhou, Y. M., & Lü, X. (2018) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2018.02.052 · Cited by 506 · see citing works
Gourdon, E., Alexander, N. A., Taylor, C., Lamarque, C., & Pernot, S. (2006) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2006.06.074 · Cited by 377 · see citing works
The Observed Wander of the Natural Frequencies in a Structure
Clinton, J. (2006) · Bulletin of the Seismological Society of America · doi:10.1785/0120050052 · Cited by 351 · see citing works
Response-based damage assessment of structures
Ghobarah, A. A., Abou-Elfath, H., & Biddah, A. (1999) · Earthquake Engineering & Structural Dynamics · doi:10.1002/(sici)1096-9845(199901)28:1 · Cited by 347 · see citing works
Experimental study of non-linear energy pumping occurring at a single fast frequency
McFarland, D. M., Bergman, L. A., & Vakakis, A. F. (2004) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2004.11.001 · Cited by 267 · see citing works
Synthesis of a nonlinear dynamic vibration absorber
Roberson, R. E. (1952) · Journal of the Franklin Institute · doi:10.1016/0016-0032(52)90457-2 · Cited by 259 · see citing works
Dynamics of linear discrete systems connected to local, essentially non-linear attachments
Vakakis, A. F., Manevitch, L. I., Gendelman, O., & Bergman, L. A. (2003) · Journal of Sound and Vibration · doi:10.1016/s0022-460x(02)01207-5 · Cited by 258 · see citing works
Targeted energy transfers in vibro-impact oscillators for seismic mitigation
Nucera, F., Vakakis, A. F., McFarland, D. M., Bergman, L. A., & Kerschen, G. (2007) · Nonlinear Dynamics · doi:10.1007/s11071-006-9189-7 · Cited by 254 · see citing works
Correlation study between seismic acceleration parameters and damage indices of structures
Elenas, A., & Meskouris, K. (2001) · Engineering Structures · doi:10.1016/s0141-0296(00)00074-2 · Cited by 229 · see citing works
Expected earthquake damage and repair costs in reinforced concrete frame buildings
Ramirez, C. M., Liel, A. B., Mitrani‐Reiser, J., Haselton, C. B., Spear, A. D., Steiner, J., Deierlein, G. G., & Miranda, E. (2012) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.2216 · Cited by 207 · see citing works
Minimum Building Life-Cycle Cost Design Criteria. II: Applications
Wen, Y. K., & Kang, Y. J. (2001) · Journal of Structural Engineering · doi:10.1061/(asce)0733-9445(2001)127:3(338 · Cited by 174 · see citing works
Luo, J., Wierschem, N. E., Hubbard, S. A., Fahnestock, L. A., Dane Quinn, D., Michael McFarland, D., Spencer, B. F., Vakakis, A. F., & Bergman, L. A. (2014) · Engineering Structures · doi:10.1016/j.engstruct.2014.07.020 · Cited by 120 · see citing works
Gidaris, I. G., & Taflanidis, A. A. (2014) · Bulletin of Earthquake Engineering · doi:10.1007/s10518-014-9646-5 · Cited by 116 · see citing works
Lu, X., Liu, Z., & Lu, Z. (2017) · Structural Control and Health Monitoring · doi:10.1002/stc.2033 · Cited by 115 · see citing works
Track Nonlinear Energy Sink for Rapid Response Reduction in Building Structures
Wang, J., Wierschem, N. E., Spencer, B. F., & Lü, X. (2014) · Journal of Engineering Mechanics · doi:10.1061/(asce)em.1943-7889.0000824 · Cited by 113 · see citing works
Life-cycle cost optimal design of passive dissipative devices
Taflanidis, A. A., & Beck, J. L. (2009) · Structural Safety · doi:10.1016/j.strusafe.2009.06.010 · Cited by 99 · see citing works
Optimization under uncertainty of parallel nonlinear energy sinks
Boroson, E., Missoum, S., Mattei, P., & Vergez, C. (2017) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2016.12.043 · Cited by 85 · see citing works
Seismic performance of pendulum and translational roof-garden TMDs
Matta, E., & Stefano, A. D. (2008) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2008.07.007 · Cited by 65 · see citing works
Self-citationMicheli, L., Alipour, A. A., Laflamme, S., & Sarkar, P. P. (2019) · Engineering Structures · doi:10.1016/j.engstruct.2019.04.009 · Cited by 65 · see citing works
Wang, J., Wierschem, N. E., Wang, B., & Spencer, B. F. (2020) · The Structural Design of Tall and Special Buildings · doi:10.1002/tal.1692 · Cited by 62 · see citing works
Oliva, M., Barone, G., & Navarra, G. (2017) · Engineering Structures · doi:10.1016/j.engstruct.2017.03.027 · Cited by 57 · see citing works
Cost optimal design of R/C buildings
Ang, A. H. ‐., & Lee, J.-C. (2001) · Reliability Engineering & System Safety · doi:10.1016/s0951-8320(01)00058-8 · Cited by 50 · see citing works
Luo, J., Wierschem, N. E., Fahnestock, L. A., Spencer, B. F., Quinn, D. D., McFarland, D. M., Vakakis, A. F., & Bergman, L. A. (2014) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.2424 · Cited by 47 · see citing works
Matta, E. (2018) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.2987 · Cited by 47 · see citing works
Self-citationSeismic life-cycle cost assessment of steel frames equipped with steel panel walls
Jiang, L., Jiang, L., Hu, Y., Ye, J., & Zheng, H. C. (2020) · Engineering Structures · doi:10.1016/j.engstruct.2020.110399 · Cited by 47 · see citing works
Simulation-based robust design of mass dampers for response mitigation of tension leg platforms
Taflanidis, A. A., Angelides, D. C., & Scruggs, J. T. (2009) · Engineering Structures · doi:10.1016/j.engstruct.2008.11.014 · Cited by 46 · see citing works
Matta, E. (2019) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.3153 · Cited by 45 · see citing works
Self-citationPerformance–cost optimization of tuned mass damper under low‐moderate seismic actions
Greco, R., Marano, G. C., & Fiore, A. (2016) · The Structural Design of Tall and Special Buildings · doi:10.1002/tal.1300 · Cited by 44 · see citing works
Life-cycle damage-based cost analysis of tall buildings equipped with tuned mass dampers
Ierimonti, L., Venanzi, I., & Caracoglia, L. (2018) · Journal of Wind Engineering and Industrial Aerodynamics · doi:10.1016/j.jweia.2018.03.009 · Cited by 40 · see citing works
Performance of tuned mass dampers against near-field earthquakes
Matta, E. (2011) · STRUCTURAL ENGINEERING AND MECHANICS · doi:10.12989/sem.2011.39.5.621 · Cited by 39 · see citing works
Self-citationBuilding design based on energy dissipation: a critical assessment
Mitropoulou, C. C., Lagaros, N. D., & Papadrakakis, M. (2010) · Bulletin of Earthquake Engineering · doi:10.1007/s10518-010-9182-x · Cited by 36 · see citing works
Assessment of seismic design procedures based on the total cost
Lagaros, N. D., Fotis, A. D., & Krikos, S. A. (2006) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.585 · Cited by 34 · see citing works
Wang, D., Tse, K. T., Zhou, Y., & Li, Q. (2014) · Structure and Infrastructure Engineering · doi:10.1080/15732479.2014.925941 · Cited by 31 · see citing works
Gidaris, I. G., & Taflanidis, A. A. (2013) · Engineering Structures · doi:10.1016/j.engstruct.2012.12.030 · Cited by 28 · see citing works
Ruiz, R. O., Taflanidis, A. A., López-García, D., & Vetter, C. R. (2015) · Bulletin of Earthquake Engineering · doi:10.1007/s10518-015-9860-9 · Cited by 24 · see citing works
Robust optimum design of tuned mass dampers for high‐rise buildings under moderate earthquakes
Marano, G. C., & Greco, R. (2008) · The Structural Design of Tall and Special Buildings · doi:10.1002/tal.462 · Cited by 24 · see citing works
Cost-effectiveness evaluation of an MR damper system based on a life-cycle cost concept
Hahm, D., Ok, S., Park, W., Koh, H., & Park, K.-S. (2013) · KSCE Journal of Civil Engineering · doi:10.1007/s12205-013-1244-6 · Cited by 22 · see citing works
Beheshti, M., & Asadi, P. (2020) · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-019-02454-w · Cited by 21 · see citing works
Su, R. K. L., Tang, T. O., & Liu, K. C. (2016) · Engineering Structures · doi:10.1016/j.engstruct.2016.04.006 · Cited by 19 · see citing works
Ball vibration absorbers with radially-increasing rolling friction
Matta, E. (2019) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2019.06.033 · Cited by 17 · see citing works
Self-citationEffectiveness of using tuned-mass dampers in reducing seismic risk
Lee, C., Goda, K., & HONG, H. P. (2009) · Structure and Infrastructure Engineering · doi:10.1080/15732470903419669 · Cited by 16 · see citing works
Seismic effectiveness of tuned mass dampers in a life-cycle cost perspective
Matta, E. (2015) · Earthquakes and Structures · doi:10.12989/eas.2015.9.1.073 · Cited by 12 · see citing works
Self-citationKrawinkler, H., Ramirez, C. M., Liel, A. B., Mitrani‐Reiser, J., Haselton, C. B., Spear, A. D., Steiner, J., Deierlein, G. G., & Miranda, E. (2012) · Cited by 3 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types
Saeed, A. S., Abdul Nasar, R., & AL-Shudeifat, M. A. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-022-08094-y · Cited by 208 · see citing works
Rajana, K., Wang, Z., & Giaralis, A. (2023) · Bulletin of Earthquake Engineering · doi:10.1007/s10518-022-01609-3 · Cited by 54 · see citing works
Saha, A., & Mishra, S. K. (2021) · Bulletin of Earthquake Engineering · doi:10.1007/s10518-021-01277-9 · Cited by 28 · see citing works
Nešić, N., Karličić, D., Cajić, M., Simonović, J. D., & Adhikari, S. (2024) · Applied Mathematical Modelling · doi:10.1016/j.apm.2024.115651 · Cited by 26 · see citing works
Katsimpini, P. S., Papagiannopoulos, G. A., & Hatzigeorgiou, G. D. (2025) · Applied Sciences · doi:10.3390/app15031226 · Cited by 15 · see citing works
Sarkar, N., & Ghosh, A. D. (2024) · Ocean Engineering · doi:10.1016/j.oceaneng.2024.119352 · Cited by 9 · see citing works
Nonlinear energy sink response of a cylindrical storage tank under earthquake loads
Ndemanou, B. P., Ndoukouo, A. N., Metsebo, J., & Kol, G. R. (2024) · Soil Dynamics and Earthquake Engineering · doi:10.1016/j.soildyn.2024.108536 · Cited by 8 · see citing works
Ju, B., Kwag, S., & Lee, S. (2025) · Nuclear Engineering and Design · doi:10.1016/j.nucengdes.2025.114133 · Cited by 8 · see citing works
Longarini, N., Zucca, M., Crespi, P. G., Valente, M. V., & Aly, A. M. (2024) · Environment Development and Sustainability · doi:10.1007/s10668-024-04603-8 · Cited by 4 · see citing works
Numerical Tuning of Nonlinear Energy Sinks in Shear Buildings
Motato, E., & Guerrero, F. G. (2023) · Journal of Vibration Engineering & Technologies · doi:10.1007/s42417-023-01021-4 · Cited by 3 · see citing works
Multihazard Optimization-Based Simultaneous Design of Multistory Concrete Structures and TMDs
Kleingesinds, S., & Lavan, O. (2024) · Journal of Structural Engineering · doi:10.1061/jsendh.steng-13139 · Cited by 2 · see citing works
Karatzia, D. M., Tsiatas, G. C., & Tsopelas, P. C. (2025) · Probabilistic Engineering Mechanics · doi:10.1016/j.probengmech.2025.103863 · Cited by 1 · see citing works
Mbasso, W. F., Harrison, A., Kumar, R., Dagal, I., Jangir, P., Al‐Gahtani, S. F., Elbarbary, Z. M. S., Smerat, A., Liu, Z., & Fendzi-Donfack, E. (2026) · Innovative Infrastructure Solutions · doi:10.1007/s41062-025-02427-7 · Cited by 1 · see citing works
Bazizalan, A., Darestani, A., Dardaei, S., & Shakib, H. (2024) · Innovative Infrastructure Solutions · doi:10.1007/s41062-024-01377-w
Analysis of a nonlinear dynamic absorption system
Nešić, N., Simonović, J. D., & Nestorovic, T. N. (2024) · PAMM · doi:10.1002/pamm.202400179
Robustness Analysis of Asymmetric Nonlinear Energy Sink via Nonlinear Normal Modes
Motato, E. (2024) · Journal of vibration and acoustics · doi:10.1115/1.4067249
Song, W., Yang, H., Zhou, H., Yue, S., & Chen, Z. (2025) · Noise & Vibration Worldwide · doi:10.1177/09574565251394414
Mitigation of Crowd-Induced Vibrations in Historic Masonry Towers: The Moletta Tower Case Study
Bali, A., Cardoni, A., Louar, M. A., & Cimellaro, G. P. (2026) · International Journal of Architectural Heritage · doi:10.1080/15583058.2026.2683556
Qin, H., Hu, H., Huang, R., Zhang, Z., & Zhaodong, X. (2026) · Journal of Building Engineering · doi:10.1016/j.jobe.2026.116651
- Authors
- Matta, E.
- Affiliations
- Politecnico di Torino (IT)
- Corresponding author
- Matta, Emiliano
- ORCID
- Matta, Emiliano
- Venue
- Bulletin of Earthquake Engineering
- Published
- 2020-10-19
- Volume
- 19
- Issue
- 1
- Pages
- 513-551
- ISSN
- 1570-761X (ISSN-L)
- 1573-1456
- OpenAlex
- W3094549890
- Cited by
- 20
- References
- 50
- Citations by year
- 2026: 3 · 2025: 4 · 2024: 8 · 2023: 2 · 2022: 2 · 2021: 1
- FWCI
- 0.73
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Bulletin of Earthquake Engineering (publishedVersion, cc-by)
- PORTO@Iris (submittedVersion, cc-by)
- INFM-OAR (INFN Catania) (submittedVersion, cc-by)
- Funders
- Politecnico di Torino
- Topics
- Physical Sciences › Engineering › Civil and Structural Engineering › Vibration Control and Rheological Fluids
- Physical Sciences › Engineering › Civil and Structural Engineering › Seismic Performance and Analysis
- Physical Sciences › Engineering › Civil and Structural Engineering › Seismic and Structural Analysis of Tall Buildings
- Keywords
- tuned mass damper, nonlinear energy sink, seismic vibration control, life cycle cost, robust optimization, incremental dynamic analysis, H-infinity control, multi-storey buildings, mass ratio
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review