Research

18 pages, 5112 KiB

Open AccessArticle

Research on Vibration Suppression of Nonlinear Tuned Mass Damper System Based on Complex Variable Average Method

by Junfeng Liu, Yujun Hu, Ji Yao and Qing Zhang

Buildings 2023, 13(11), 2866; https://doi.org/10.3390/buildings13112866 - 16 Nov 2023

Viewed by 692

Tuned mass dampers (TMDs) are widely used as vibration damping devices in engineering practice. However, during use, TMDs inevitably exhibit some nonlinear characteristics that may negatively impact engineering applications. To improve the practical performance of TMDs, the cubic nonlinear stiffness of the TMD [...] Read more.

Tuned mass dampers (TMDs) are widely used as vibration damping devices in engineering practice. However, during use, TMDs inevitably exhibit some nonlinear characteristics that may negatively impact engineering applications. To improve the practical performance of TMDs, the cubic nonlinear stiffness of the TMD is considered, and a nonlinear design is implemented. A numerical model of a single-degree-of-freedom main structure controlled by an NTMD is developed, and the steady-state amplitude solution of the system is obtained using the complex variable averaging method. The results show that a jump phenomenon may occur in the structure. To address this, a multivalued solution discrimination formula based on the complex variable averaging method is proposed. The discriminant formula for the jump phenomenon obtains the frequency ratio and nonlinear coefficient curves of the critical jump state, and four different system response areas are obtained. This helps the structure avoid the jump phenomenon while ensuring stability of the main structure and improving the control performance of the NTMD. Full article

(This article belongs to the Special Issue Structural Vibration Control Research)

► Show Figures

Figure 1

15 pages, 3011 KiB

Open AccessArticle

Validity of Galerkin Method at Beam’s Nonlinear Vibrations of the Single Mode with the Initial Curvature

by Yunbo Zhang, Kun Huang and Wei Xu

Buildings 2023, 13(10), 2645; https://doi.org/10.3390/buildings13102645 - 20 Oct 2023

Viewed by 797

Abstract

A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method. Then, the oscillations of beams are explored by solving the ordinary differential equation [...] Read more.

A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method. Then, the oscillations of beams are explored by solving the ordinary differential equation or equations. However, recent studies have shown that this strategy may lead to erroneous results in some cases. The present paper carried out the following three research studies: (1) We performed Galerkin first-order and second-order truncations to discrete the nonlinear partial differential integral equation that describes the vibrations of a Bernoulli-Euler beam with initial curvatures. (2) The approximate analytical solutions of the discretized ordinary differential equations were obtained through the multiple scales method for the primary resonance. (3) We compared the analytical solutions with those of the finite element method. Based on the results obtained by the two methods, we found that the Galerkin method can accurately estimate the dynamic behaviors of beams without initial curvatures. On the contrary, the Galerkin method underestimates the softening effect of the quadratic nonlinear term that is induced by the initial curvature. This may cause erroneous results when the Galerkin method is used to study the dynamic behaviors of beams with the initial curvatures. Full article

(This article belongs to the Special Issue Structural Vibration Control Research)

► Show Figures

Figure 1

25 pages, 4805 KiB

Open AccessArticle

Mechanical Model and Damping Effect of a Particle-Inertial Damper

by Mengfei Xie, Weibing Xu, Jin Wang, Yanjiang Chen, Daxing Zhou, Liqun Hou, Yulong Sun and Yong Li

Buildings 2023, 13(9), 2264; https://doi.org/10.3390/buildings13092264 - 06 Sep 2023

Viewed by 722

Abstract

Particle dampers (PD) are safe, economical, and effective energy-dissipation devices for structures. However, the additional mass of PD must be sufficiently large to provide a better damping effect, and the initial movement condition of particles has a significant impact on the damping effect [...] Read more.

Particle dampers (PD) are safe, economical, and effective energy-dissipation devices for structures. However, the additional mass of PD must be sufficiently large to provide a better damping effect, and the initial movement condition of particles has a significant impact on the damping effect of PD. In this study, a particle-inertial damper (PID) is proposed to overcome these problems, and its mechanical model is established with and without considering particle collision. Subsequently, the influence of particle rolling friction and particle collision on the inertial amplification capacity as well as the dynamic response of a single degree of freedom (SDOF) structure with non-collision and collision PID (SDOF-PID) are systematically analysed. Finally, the control effects of a PID and a tuned mass damper (TMD) are compared based on two typical optimisation methods. The results indicate that particle rolling friction has little influence on the inertia amplification effect of a PID and the displacement response of a SDOF-PID. Under harmonic excitation, particle collision significantly affects the damping mechanism of a PID by its equivalent inertia coefficient, equivalent damping coefficient, and equivalent stiffness coefficient. The fixed-point theory and ‘performance-cost’ theory can be used to optimise the PID to a certain extent. The damping effect of a PID on the SDOF under the most severe seismic excitation is better than that of the PID under white noise excitation. With respect to the decreasing ratio of 40~50%, the additional mass of the PID is only one thousandth that of the TMD under the same damping capacity demand. Full article

(This article belongs to the Special Issue Structural Vibration Control Research)

► Show Figures

Figure 1

31 pages, 23705 KiB

Open AccessArticle

Enhancing the Seismic Performance of Adjacent Building Structures Based on TVMD and NSAD

by Xiaofang Kang, Shuai Li, Chao Yan, Xueqin Jiang, Hanyao Hou, Zhipeng Fan, Dun Mao and Qiwen Huang

Buildings 2023, 13(8), 2049; https://doi.org/10.3390/buildings13082049 - 10 Aug 2023

Cited by 1 | Viewed by 709

Abstract

Under the action of an earthquake, the adjacent building structure will have a large displacement and even cause damage to the structure. Structure displacement can be suppressed by adding a tuned viscous mass damper (TVMD) and negative stiffness amplifier damper (NSAD) between adjacent [...] Read more.

Under the action of an earthquake, the adjacent building structure will have a large displacement and even cause damage to the structure. Structure displacement can be suppressed by adding a tuned viscous mass damper (TVMD) and negative stiffness amplifier damper (NSAD) between adjacent structures. This paper deduces the motion equation of adjacent building structures under earthquake action. The transfer function of the vibration control system is obtained using Laplace transform. The parameter optimization analysis of the structural vibration control system is carried out through

H_{2}

norm theory. The vibration control performance of the TVMD vibration control system and NSAD vibration control system is studied by taking two adjacent building structures composed of single freedom building structures as an example. The results show that the two vibration damping devices proposed in this paper can play the role of vibration control. The influence of the same parameters on the two structures is not completely consistent. Under seismic excitation, the NSAD control system has better displacement control ability than the TVMD control system. Full article

(This article belongs to the Special Issue Structural Vibration Control Research)

► Show Figures

Figure 1

23 pages, 9050 KiB

Open AccessArticle

Optimal Tuned Inerter Dampers for Vibration Control Performance of Adjacent Building Structures

by Xiaofang Kang, Jianjun Tang, Feng Li, Jian Wu, Jiachen Wei, Qiwen Huang, Zhi Li, Fuyi Zhang and Ziyi Sheng

Buildings 2023, 13(7), 1803; https://doi.org/10.3390/buildings13071803 - 15 Jul 2023

Cited by 1 | Viewed by 890

Abstract

Under the effect of strong earthquakes, collisions or excessive inter-story displacements may occur between adjacent building structures to the extent that the building structure is damaged. The traditional seismic measures for these structures can no longer meet the needs in practical engineering. In [...] Read more.

Under the effect of strong earthquakes, collisions or excessive inter-story displacements may occur between adjacent building structures to the extent that the building structure is damaged. The traditional seismic measures for these structures can no longer meet the needs in practical engineering. In this paper, we propose the application of parallel and serial TID-based control systems in adjacent buildings as an example of a single-story adjacent building, and use it to form a new adjacent building seismic reduction structure. In this paper, the dynamic characteristics and design parameter optimization of the vibration control system are investigated by means of the Monte Carlo pattern search method and H₂ norm theory. The results show that the introduction of serial and parallel TID in adjacent building structures can effectively improve the seismic resistance of adjacent buildings. The problem of vibration amplification caused by resonance is obviously improved, which is especially evident in the adjacent building structure vibration control system based on parallel TID. The vibration control system of adjacent building structures based on parallel TID is more robust. When optimizing the right building, the damping requirement of the TID decreases for the vibration control system based on parallel TID as the adjacent building mass ratio increases, while the damping requirement of the TID increases for the vibration control system based on serial TID. In both vibration control systems, the difference in the optimal inertial mass ratio is small. In practice, a moderate increase in the difference between adjacent building masses can have a positive effect on the vibration control performance of the systems. The main contribution of this paper is to fill the research gap in parallel and serial TID applications for adjacent building vibration reduction. Full article

(This article belongs to the Special Issue Structural Vibration Control Research)

► Show Figures

Figure 1

19 pages, 29678 KiB

Open AccessArticle

Method and Experimental Study of Oscillator Frequency Optimization of Distributed Tuned Mass Dampers for Broadband Multimodal Vibration Mitigation of Reinforced Concrete Wall

by Meng Chu, Wenhan Yin, Fei Dong, Feifei Sun, Songhang He and Yamei He

Buildings 2023, 13(7), 1686; https://doi.org/10.3390/buildings13071686 - 30 Jun 2023

Viewed by 670

Abstract

Distributed tuned mass dampers (dTMD) can effectively mitigate the broadband vibration of a structure. However, when the vibration frequency in question reaches several hundred hertz, traditional optimization methods represented by fixed point theory are difficult to apply due to dense modal density, complex [...] Read more.

Distributed tuned mass dampers (dTMD) can effectively mitigate the broadband vibration of a structure. However, when the vibration frequency in question reaches several hundred hertz, traditional optimization methods represented by fixed point theory are difficult to apply due to dense modal density, complex boundary conditions, and vibration inputs. This paper proposes the minimax method based on modal damping to optimize the oscillator’s frequency. Two typical wall panel specimens are tested to evaluate the proposed method. The mode shape of the uncontrolled wall and the vibration mitigation effect of the stacked sandwich-damped TMD under single-point bidirectional excitation is tested. The correlation between the modal damping and the vibration mitigation effect is evaluated. The results show that the RC wall panel has a dense mode when the frequency of interest reaches 300 Hz and above; the distributed stacked sandwich-damped TMDs can effectively mitigate the vibration of the RC wall panel in the frequency range of 200~450 Hz; and that the idea of optimizing the frequency of dTMD based on modal damping is feasible. Full article

(This article belongs to the Special Issue Structural Vibration Control Research)

► Show Figures

Figure 1

23 pages, 10407 KiB

Open AccessArticle

Design and Parameter Optimization of the Soil-Structure Interaction on Structures with Electromagnetic Damper

by Xiaofang Kang, Zongqin Wu, Jian Wu, Qiwen Huang, Boyang Ou and Shancheng Lei

Buildings 2023, 13(7), 1655; https://doi.org/10.3390/buildings13071655 - 28 Jun 2023

Viewed by 818

Abstract

Currently, the application of electromagnetic dampers in structural vibration control and energy harvesting has become increasingly widespread. The optimization research of electromagnetic dampers in building design has also received more attention. Previous studies on vibration control of building structures with electromagnetic dampers have [...] Read more.

Currently, the application of electromagnetic dampers in structural vibration control and energy harvesting has become increasingly widespread. The optimization research of electromagnetic dampers in building design has also received more attention. Previous studies on vibration control of building structures with electromagnetic dampers have been conducted under fixed foundations, neglecting the effect of soil-structure interaction on building structures with electromagnetic dampers. The main contribution of this paper is to fill the research gap in the study of building structural vibration control with electromagnetic dampers considering soil-structure interaction. An effective design and parameter optimization method for building structures with both soil-structure interaction and electromagnetic energy harvesting is explored. The soil-structure interaction is taken into account, and the building model with electromagnetic dampers is improved to form a coupled vibration reduction system with both structural vibration control and energy harvesting functions. The dynamic equations of the system with both structural vibration control and energy harvesting are derived and then optimized using the

H_{2}

norm criterion and Monte Carlo-mode search method. A single-layer building structure is used as an example to study the influence of soil-structure interaction on building structures equipped with electromagnetic dampers under strong earthquake action. The dynamic response and energy harvesting of building structures under earthquake action considering soil-structure interaction are analyzed and evaluated. The results show that the influence of soil-structure interaction on building structures equipped with electromagnetic dampers needs to be considered. As the soil density decreases, the dynamic response of the building structure under earthquake action becomes larger using the electromagnetic damper system. Compared to the use of fixed foundations, the energy harvesting effect of building structures with electromagnetic dampers is weakened when considering soil-structure interactions.Definition: Full article

(This article belongs to the Special Issue Structural Vibration Control Research)

► Show Figures

Figure 1

23 pages, 8573 KiB

Open AccessArticle

Development of a Water Supplement System for a Tuned Liquid Damper under Excitation

by Congzhen Xiao, Zhenhong Wu, Kai Chen, Yi Tang and Yalin Yan

Buildings 2023, 13(5), 1115; https://doi.org/10.3390/buildings13051115 - 22 Apr 2023

Cited by 2 | Viewed by 1128

Abstract

Integrating existing liquid storage and supply tanks in buildings with tuned liquid dampers (TLDs) are significant for reducing the effective cost of TLDs. However, existing water supplement devices for fire-suppression liquid tanks may overfill with water, which leads to TLD mistuning. To overcome [...] Read more.

Integrating existing liquid storage and supply tanks in buildings with tuned liquid dampers (TLDs) are significant for reducing the effective cost of TLDs. However, existing water supplement devices for fire-suppression liquid tanks may overfill with water, which leads to TLD mistuning. To overcome this problem, a passive liquid control system named TLD with a stable replenishment sub-tank system (TLD-SRS) is proposed. The system, which consists of an additional sub-tank connected to the main tank and a floating ball, replenishes liquid in the TLD automatically. The system can avoid vibration interference and maintain the normal operation of the passive replenishment system under usual wind loads. According to the studies of tuned liquid column dampers (TLCD), the proposed TLD with a stable replenishment sub-tank system (TLD-SRS) uses simple devices to ensure that the liquid level in the TLD is steady at the target liquid level with a floating ball. The TLD-SRS is verified on a large-scale TLD shaking table experiment. The overshoot, which is the percentage of liquid that exceeds the target volume of TLD is calculated during sloshing with wind loads. Compared with TLD installed with a regular liquid replenishment device, the proposed TLD-SRS significantly reduces the overshoot of liquid and acceleration on the roof of the building. Full article

(This article belongs to the Special Issue Structural Vibration Control Research)

► Show Figures

Figure 1

21 pages, 7800 KiB

Open AccessArticle

Research on Vibration Control of Power Transmission Lines-TMDI Based on Colliding Bodies Optimization

by Xinpeng Liu, Siyuan Li, Chaoyue Wu, Yongli Zhong and Yongfei Bian

Buildings 2022, 12(12), 2200; https://doi.org/10.3390/buildings12122200 - 12 Dec 2022

Cited by 1 | Viewed by 1201

Abstract

To investigate the vibration control capability of a tuned mass damper inerter (TMDI) on a transmission line, the motion equations of the transmission line with TMDI under harmonic excitation were derived. Thus, the closed-form solutions of the displacement response spectrum were obtained by [...] Read more.

To investigate the vibration control capability of a tuned mass damper inerter (TMDI) on a transmission line, the motion equations of the transmission line with TMDI under harmonic excitation were derived. Thus, the closed-form solutions of the displacement response spectrum were obtained by Fourier transform. Based on the colliding bodies optimization (CBO), one of the metaheuristic algorithms, the TMDI parameters, was optimized to minimize the displacement of the transmission line-TMDI system. The research results show that the response of the transmission line was reduced by at least half for different mass ratio and frequency ratio conditions, which indicates that the TMDI can effectively control the displacement response of the transmission line. In addition, the TMDI parameters were optimized by CBO, and the vibration control efficiency was significantly improved. The results of the study show that the data converge quickly with fewer iterations in collision body optimization. On the one hand, CBO avoids getting into local optimization compared to other metaheuristic algorithms. On the other hand, it is cheaper in terms of the cost of its calculations compared to the methods of mathematical derivation. It plays an active role in the optimization of complex structures. The vibration suppression performance of the TMDI after optimization reaches 56–96%. Full article

(This article belongs to the Special Issue Structural Vibration Control Research)

► Show Figures

Figure 1

21 pages, 4155 KiB

Open AccessArticle

Analysis of the Effect of Mainshock-Aftershock Sequences on the Fragility of RC Bridge Columns

by Tongxing Wang, Qiang Han, Jianian Wen and Lihui Wang

Buildings 2022, 12(10), 1681; https://doi.org/10.3390/buildings12101681 - 13 Oct 2022

Cited by 2 | Viewed by 1634

Abstract

The mainshock (MS) is often accompanied by a number of aftershocks (AS). The existence of AS may cause the seismic demand to be greater than the MS. In order to better evaluate the impact of AS, this paper takes RC columns as the [...] Read more.

The mainshock (MS) is often accompanied by a number of aftershocks (AS). The existence of AS may cause the seismic demand to be greater than the MS. In order to better evaluate the impact of AS, this paper takes RC columns as the research object and performs incremental dynamic analysis (IDA) on the actual recorded mainshock-aftershocks (MS-AS). The Park–Ang model and incremental damage index are used to quantify the effect of the MS and AS, respectively. The damage and fragility analysis of the parameters such as reinforcement ratio, axial compression ratio and shear-span ratio are carried out respectively. The results show that the seismic demand of the MS-AS is greater than the MS. Besides, the damage of the column gradually increases with the increase of axial compression ratio and shear-span ratio, and gradually decreases with the increase of the reinforcement ratio. When the seismic design grade is 7, 8, and 9 degree, the maximum increase rate of additional damage caused by aftershocks is 7, 13, and 15% of the MS, respectively. When the column is in a medium damaged and a severely damaged state, the growth rate of additional damage can be estimated to be 12.7 and 11% of the MS, respectively. The fragility of columns in different damage states under the action of MS-AS is greater than that of MS. Reducing the axial pressure ratio can greatly reduce the damage probability of columns in different damage states. The effect of the MS-AS can be comprehensively considered to select appropriate design parameters in the design, and the additional damage caused by the AS can be estimated according to the damage condition of the column. Full article

(This article belongs to the Special Issue Structural Vibration Control Research)

► Show Figures

Figure 1

Journal Menu

Journal Browser

Structural Vibration Control Research

Share This Special Issue

Special Issue Editor

Special Issue Information

Keywords

Published Papers (10 papers)

Research

Further Information

Guidelines

MDPI Initiatives

Follow MDPI