Parametric analytical optimization and analysis of structural seismic reduction using RIDTMD

PDF(2567 KB)

Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (11) : 215-224.

EARTHQUAKE SCIENCE AND STRUCTURE SEISMIC RESILIENCE

Parametric analytical optimization and analysis of structural seismic reduction using RIDTMD

LUO Yifan, GAO Jianbo, ZHAO Wentao, SUN Hongxin*, LIU Bali, WEN Qing

Author information +

History +

Abstract

Among the passive control devices, the classical tuned mass damper (TMD) is the most widely used. However, the classical TMD often requires large additional mass and large installation space in the actual installation and use, which brings inconvenience to the practical application. The rotational inertia double tuned mass damper (RIDTMD) is a new and efficient vibration control device, which utilizes the apparent mass enhancement function of the inerter and the double tuning effect of the tuning mass and the tuning inerter. Thus, it has good vibration reduction performance and lightweight control characteristics. However, when considering the optimization design of the main structure control under the base excitation by RIDTMD, the current design methods are basically numerical methods, which are inconvenient to apply. To solve the above problems, based on the H_2 optimization theory, the analytical design formulas of RIDTMD parameters were derived, with the root mean square value of the main structure displacement as the objective function. Based on the analytical formulas, the damping performance and lightweight effect of RIDTMD are analyzed by two numerical simulation methods in frequency domain and time domain, and the accuracy and suitability of the analytical formula are also verified.

Key words

strucutural vibration control / seismic excitation / tuned mass damper / inerter damper / parameter optimization

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

LUO Yifan, GAO Jianbo, ZHAO Wentao, SUN Hongxin, LIU Bali, WEN Qing. Parametric analytical optimization and analysis of structural seismic reduction using RIDTMD[J]. Journal of Vibration and Shock, 2025, 44(11): 215-224

References

[1] Javidialesaadi A, Wierschem N E. Optimal design of rotational inertial double tuned mass dampers under random excitation [J]. Engineering Structures, 2018, 165: 412-421.
[2] 罗一帆, 孙洪鑫, 王修勇, 等. 风浪联合作用下分布式调谐质量阻尼器对海上半潜漂浮式风机的减振控制 [J]. 振动工程学报, 2024, 37(04): 565-577.
LUO Yi-fan, SUN Hong-xin, Wang Xiu-yong, et al. Vibration reduction control of a semisubmersible floating offshore wind turbine by the distributed tuned mass dampers under combined wind and wave excitations [J]. Journal of vibration engineering, 2011, 24(2): 205-209.
[3] 王珏, 张莹, 黄愫, 等. 位移激励下含负刚度的惯容减振系统参数优化解析研究 [J]. 振动工程学报, 2023, 36(03): 804-814.
Wang Jue, ZHANG Ying, HUANG Su, et al. Analytical study on optimal inerter vibration absorbers with negative stiffness under displacement excitations [J]. Journal of vibration engineering, 2023, 36(03): 804-814.
[4] Hartog J P D. Mechanical Vibration [M]. McGraw-Hill Book Company, Inc., New York, 1956.
[5] Warburton G B. Optimum absorber parameters for various combinations of response and excitation parameters [J]. Earthquake Engineering & Structural Dynamics, 1982, 10(3): 381-401.
[6] Asami T, Nishihara O, Baz A M. Analytical solutions to H∞ and H2 optimization of dynamic vibration absorbers attached to damped linear systems [J]. Transactions of the Japan Society of Mechanical Engineers, 2002, 67(655): 597-603.
[7] 张力, 张瑞甫, 薛松涛, 等. 附加不同形式调谐质量惯容系统的高耸烟囱轻量化减震控制 [J]. 振动工程学报, 2024, 37(03): 464-475.
ZHANG Li, ZHANG Rui-fu, XUE Song-tao, et al. Lightweight control of high⁃rise chimneys with different kinds of tuned mass inerter systems [J]. Journal of vibration engineering, 2024, 37(03): 464-475.
[8] Smith M C. Synthesis of mechanical networks: the inerter [J]. IEEE Transactions on automatic control, 2002, 47(10): 1648-1662.
[9] Ma R, Bi K, Hao H. Inerter-based structural vibration control: A state-of-the-art review [J]. Engineering Structures, 2021, 243: 112655.
[10] 苏宁, 张杰, 洪宁宁, 等. 广义变式惯容动力吸振器的H∞和H2解析优化 [J]. 振动与冲击, 2023, 42(09): 47-56.
SU Ning, ZHANG Jie, HONG Ning-ning, et al. H∞ and H2 optimization solutions to generalized variant inerter-enhanced DVA [J]. Journal of Vibration and Shock, 2023, 42(09): 47-56.
[11] 张瑞甫, 曹嫣如, 潘超. 惯容减震 (振) 系统及其研究进展 [J]. 工程力学, 2019, 36(10): 8-27.
ZHANG Rui-fu, CAO Yan-ru, PAN Chao. Inerter system and its state-of-the-art [J]. Engineering Mechanics, 36(10): 8-27.
[12] Garrido H, Curadelli O, Ambrosini D. Improvement of tuned mass damper by using rotational inertia through tuned viscous mass damper [J]. Engineering Structures, 2013, 56: 2149-2153.
[13] Zhang Z, Høeg C. Inerter-enhanced tuned mass damper for vibration damping of floating offshore wind turbines [J]. Ocean Engineering, 2021, 223: 108663.
[14] Zhang Z, Larsen T G. Optimal calibration of the rotational inertia double tuned mass damper (RIDTMD) for rotating wind turbine blades [J]. Journal of Sound and Vibration, 2021, 493: 115827.
[15] Zhang R, Zhao Z, Dai K. Seismic response mitigation of a wind turbine tower using a tuned parallel inerter mass system [J]. Engineering Structures, 2019, 180: 29-39.
[16] Luo Y, Sun H, Hall L, et al. Vibration control for a semi-submersible floating offshore wind turbine with optimal ultra-low frequency electromagnetic tuned inerter-mass dampers [J]. Structures, 2024, 63: 106296.
[17] 杨涵, 刘仰昭, 戴靠山, 等. 高耸烟囱风致振动的TPIMS减振数值分析 [J]. 振动与冲击, 2022, 41(09): 290-298.
YANG Han, LIU Yang-zhao, DAI Kao-shan, et al. Numerical analysis of TPIMS for reducing wind-induced vibration of high-rise chimney [J]. Journal of Vibration and Shock, 2022, 41(09): 290-298.
[18] Su N, Peng S, Hong N, et al. Wind-induced vibration absorption using inerter-based double tuned mass dampers on slender structures [J]. Journal of Building Engineering, 2022, 58: 104993.
[19] Wang P, Chen J, Han Z. Rotational inertial double tuned mass damper for human-induced floor vibration control [J]. Structual Engineering Mechanics, 2022, 82: 283-294.
[20] Wang P, Chen J. Nonlinear rotational inertial double-tuned mass damper for reducing human-induced floor vibration with frequency detuning [J]. Mechanical Systems and Signal Processing, 2022, 172: 109016.
[21] Javidialesaadi A, Wierschem N E. Design and performance evaluation of inerter-based tuned mass dampers for a ground acceleration excited structure [J]. Soil Dynamics and Earthquake Engineering, 2021, 140: 106463.
[22] 张瑞甫, 曹嫣如, 潘超, 等. 典型激励下调谐质量惯容系统TMIS的轻量化结构控制 [J]. 工程力学, 2022, 39(09): 58-71.
ZHANG Rui-fu, CAO Yan-ru, PAN Chao, et al. Lightweight structural control based on tuned mass inerter system (TMIS) under typical excitation [J]. Engineering Mechanics, 2022, 39(09): 58-71.
[23] Hu Y, Chen M Z Q. Performance evaluation for inerter-based dynamic vibration absorbers [J]. International Journal of Mechanical Sciences, 2015, 99: 297-307.
[24] Barredo E, Larios J M, Mayén J, et al. Optimal design for high-performance passive dynamic vibration absorbers under random vibration [J]. Engineering Structures, 2019, 195: 469-489.
[25] Barredo E, Blanco, Colin J, et al. Closed-form solutions for the optimal design of inerter-based dynamic vibration absorbers [J]. International Journal of Mechanical Sciences, 2018, 144: 41-53.
[26] Luo Y, Sun H, Wang X, et al. Parametric optimization of electromagnetic tuned inerter damper for structural vibration suppression [J]. Structural Control and Health Monitoring, 2021, 28(5): e2711.
[27] Qian F, Luo Y, Sun H, et al. Optimal tuned inerter dampers for performance enhancement of vibration isolation [J]. Engineering Structures, 2019, 198: 109464.
[28] 罗一帆, 孙洪鑫, 王修勇. 电磁调谐双质阻尼器的H2参数优化及对结构减震分析 [J]. 工程力学, 2019, 36(4): 89-99.
LUO Yi-fan, SUN Hong-xin, WANG Xiu-yong. The H2 parametric optimization and structural vibration suppression of electromagnetic tuned mass-inerter dampers [J]. Engineering Mechanics, 2019, 36(4): 89-99.
[29] Jonkman J, Butterfield S, Musial W, et al. Definition of a 5-MW reference wind turbine for offshore system development [R]. National Renewable Energy Laboratory (NREL), Golden, CO (United States), 2009.