[
1]
H. Frahm, "Device for damping vibrations of bodies," ed: Google Patents, 1911.
[
2]
J. Ormondroyd and J. Den Hartog, "The theory of the dynamic vibration absorber,"
Journal of Fluids Engineering, vol. 49, no. 2, 1928.
doi:10.1115/1.4058553
[
3]
J. P. Den Hartog,
Mechanical vibrations. Courier Corporation, 1985.
[
4]
S. Randall, D. Halsted III, and D. Taylor, "Optimum vibration absorbers for linear damped systems," 1981.
doi:10.1115/1.3255005
[
5]
G. B. Warburton, "Optimum absorber parameters for various combinations of response and excitation parameters,"
Earthquake Engineering & Structural Dynamics, vol. 10, no. 3, pp. 381-401, 1982.
doi:10.1002/eqe.4290100304
[
6]
T. Gao, J. Li, S. Zhu, X. Yang, and H. Zhao, "H∞ Optimization of Three-Element-Type Dynamic Vibration Absorber with Inerter and Negative Stiffness Based on the Particle Swarm Algorithm,"
Entropy, vol. 25, no. 7, p. 1048, 2023.
doi:10.3390/e25071048
[
7]
Y. Chen, H. Zhao, J. Zhang, H. Zhou, and H. Sun, "Optimization and Application of Particle Swarm Intelligence Algorithm in Maxwell Type Dynamic Vibration Absorber with Inerter Element,"
Journal of Vibration Engineering & Technologies, vol. 13, no. 5, p. 292, 2025.
doi:10.1007/s42417-025-01869-8
[
8]
F. Zamani, S. H. Alavi, M. Mashayekhi, E. Noroozinejad Farsangi, A. Sadeghi-Movahhed, and A. Majdi, "Optimum design of double tuned mass dampers using multiple metaheuristic multi-objective optimization algorithms under seismic excitation,"
Frontiers in Built Environment, vol. 11, p. 1559530, 2025.
doi:10.3389/fbuil.2025.1559530
[
9]
Y. Liu and L. Cheng, "Exact H∞ optimization of dynamic vibration absorbers: Univariate-polynomial-based algorithm and operability analysis,"
Applied Mathematical Modelling, vol. 139, p. 115812, 2025.
doi:10.1016/j.apm.2024.115812
[
10]
A. Tollardo, F. Cadini, M. Giglio, and L. Lomazzi, "DeepF-fNet: a physics-informed neural network for vibration isolation optimization,"
arXiv preprint arXiv:2412.21132, 2024.
doi: 10.48550/arXiv.2412.21132
[
11]
X. Chen, Y. Leng, F. Sun, X. Su, S. Sun, and J. Xu, "Design and modeling of a novel triple-magnet magnetic dynamic vibration absorber,"
International Journal of Applied Electromagnetics and Mechanics, vol. 71, no. 4, pp. 363-388, 2023.
doi: 10.3233/JAE-220128
[
12]
J. Li, T. Gao, S. Zhu, and X. Yang, "H∞ optimization of a novel Maxwell dynamic vibration absorber with lever, inerter, and grounded stiffness,"
Applied Sciences, vol. 13, no. 6, p. 3697, 2023.
doi:10.3390/app13063697
[
13]
Y. Peng and P. Sun, "Reliability-based design optimization of tuned mass-damper-inerter for mitigating structural vibration,"
Journal of Sound and Vibration, vol. 572, p. 118166, 2024.
doi:10.1016/j.jsv.2023.118166
[
14]
Z.-Y. Xing and X.-D. Yang, "Parameter optimization of a two-stage quasi-zero-stiffness system with linear dynamic vibration absorber,"
Nonlinear Dynamics, vol. 112, no. 14, pp. 11887-11907, 2024.
doi:10.1007/s11071-024-09704-7
[
15]
Y.-W. Chen, H.-T. Yau, T.-Y. Hsiao, S.-W. Hong, Y.-H. Cheng, and Y.-J. Wang, "Optimal Design using Particle Swarm Optimization for Ropeway Carrier Passive Dynamic Vibration Absorbers," in
2024 20th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications (MESA), 2024: IEEE, pp. 1-7.
DOI: 10.1109/MESA61532.2024.10704853
[
16]
F. A. Athifah and W. Hendrowati, "Experimental Analysis of Vibration Reduction of Boring Bar with Tapered Mass-Rubber Dynamic Vibration Absorber (MR-DVA),"
Engineering Proceedings, vol. 84, no. 1, p. 65, 2025.
doi:10.3390/engproc2025084065
[
17]
M. A. Shahraki, R. Kamgar, and H. Heidarzadeh, "Damage-based design of multiple tuned mass dampers to improve the seismic performance of steel frame structures,"
Soil Dynamics and Earthquake Engineering, vol. 173, p. 108062, 2023.
doi:10.1016/j.soildyn.2023.108062
[
18]
B. Besharatian, H. T. Riahi, R. Garcia, and I. Hajirasouliha, "Particle swarm optimization of friction tuned mass dampers subjected to ground motion records,"
Soil Dynamics and Earthquake Engineering, vol. 172, p. 107995, 2023.
doi:10.1016/j.soildyn.2023.107995
[
19]
S. Mazloom and A. K. Ghorbani-Tanha, "An Innovative Semiactive Rolling Tuned Mass Damper for Structural Vibration Mitigation,"
Structural Control and Health Monitoring, vol. 2025, no. 1, p. 9627790, 2025.
doi.org/10.1155/stc/9627790
[
20]
M. Mousaviyan Safakhaneh, M. Fahimi Farzam, H. Ahmadi, and A. Farnam, "Vibration control of structure using active tuned mass damper: A new control algorithm,"
Journal of Vibration and Control, vol. 31, no. 13-14, pp. 2908-2919, 2025.
doi:10.1177/10775463241263889
[
21]
S. Djerouni, G. Bekdaş, and S. M. Nigdeli, "Optimization and performance assessment of Multi-Tuned Mass Dampers (MTMD) to mitigate seismic pounding of adjacent buildings via a novel hybrid algorithm,"
Journal of Building Engineering, vol. 103, p. 112168, 2025.
doi:10.1016/j.jobe.2025.112168
[
22]
Y. Luo, H. Sun, Z. Zhang, W. Wang, and L. Zuo, "Analytical optimization of the rotational inertia double tuned mass damper for structures under random excitation," in
Structures, 2024, vol. 69: Elsevier, p. 107462.
doi:10.1016/j.istruc.2024.107462
[
23]
F. Petrini, A. Giaralis, and Z. Wang, "Optimal tuned mass-damper-inerter (TMDI) design in wind-excited tall buildings for occupants’ comfort serviceability performance and energy harvesting,"
Engineering Structures, vol. 204, p. 109904, 2020.
doi:10.1016/j.engstruct.2019.109904
[
24]
F. A. Jabbar, P. S. Rao, and S. O. W. Khafaji, "Enhancing the Design of Dynamic Vibration Absorbers through Harmonic Analysis and Lumped Parallel Configuration,"
Engineering, Technology & Applied Science Research, vol. 14, no. 5, pp. 16624-16639, 10/09 2024, doi: 10.48084/etasr.7990.
doi:10.48084/etasr.7990.
[
25]
A. Shamseldin, M. A. Abido, and A. Alofi, "AI-driven optimization of dynamic vibration absorbers with hydraulic amplifier and mechanical inerter integration," (in English),
Frontiers in Mechanical Engineering, Original Research vol. Volume 10 - 2024, 2024-September-30 2024,
doi: 10.3389/fmech.2024.1464692.
[
26]
V. D. Phuc and M.-T. Hoang, "A novel method for optimizing the parameters of dynamic vibration absorber for reducing torsional oscillations of high-speed rotor based on dual estimation,"
Journal of Vibration and Control, vol. 0, no. 0, p. 10775463251349876,
doi: 10.1177/10775463251349876.
[
27]
DeVana. (2025). Github. [Online]. Available:
https://github.com/mahan2079/DeVana
[
28]
T. Asami, O. Nishihara, and A. M. Baz, "Analytical solutions to H∞ and H 2 optimization of dynamic vibration absorbers attached to damped linear systems,"
J. Vib. Acoust., vol. 124, no. 2, pp. 284-295, 2002.
doi:10.1115/1.1456458.
