The Vibration Control of Building Structures

A special issue of Buildings (ISSN 2075-5309). This special issue belongs to the section "Building Structures".

Deadline for manuscript submissions: 31 January 2026 | Viewed by 2545

Special Issue Editors


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Guest Editor
1. Institute of Solid Mechanics, Romanian Academy, Bucharest, Romania
2. Research Institute for Construction Equipment and Technology—ICECON SA, 021652 Bucharest, Romania
Interests: nonlinear dynamics; nonlinear vibrations; stability
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Guest Editor
Department of Mechanics, National University of Science & Technology Politehnica of Bucharest, 060042 Bucharest, Romania
Interests: vibration control; seismic isolation; dynamic and nonlinear systems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue is dedicated to research on the vibration control of building structures, which presents a current and necessary interest in the design and subsequent protection of buildings. Papers within the Special Issue must focus on one of the following subjects:

  • Vibrations transmitted to constructions from external sources of vibrations, shocks, and explosions;
  • Vibrating movements of constructions with earthquakes as the source;
  • Structural vibrations produced by dynamic equipment installed on foundations or construction elements of the building envelope;
  • The passive isolation of building vibrations using various systems and materials;
  • The control of vibrations and structural noise transmitted in buildings;
  • Comfort conditions in constructions for noise and vibration pollution;
  • Methods and dynamic equipment for building foundations on natural land with material additions (foundations for public buildings and foundations for roads);
  • Systems used for the monitoring, acquisition, and processing of acceleration signals of seismic movements intended for buildings located in areas with significant seismicity.

Prof. Dr. Polidor Bratu
Dr. Ovidiu Vasile
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Buildings is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • vibrations of constructions
  • vibrational movements of constructions
  • structural vibrations
  • passive vibration damping
  • vibration control
  • dynamic equipment
  • monitoring systems
  • antiseismic systems

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Published Papers (3 papers)

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Research

25 pages, 3798 KiB  
Article
Stochastic Optimal Control for Uncertain Structural Systems Under Random Excitations Based on Bayes Optimal Estimation
by Hua Lei, Zhao-Zhong Ying and Zu-Guang Ying
Buildings 2025, 15(9), 1579; https://doi.org/10.3390/buildings15091579 - 7 May 2025
Viewed by 138
Abstract
Stochastic vibration control of uncertain structures under random loading is an important problem and its minimax optimal control strategy remains to be developed. In this paper, a stochastic optimal control strategy for uncertain structural systems under random excitations is proposed, based on the [...] Read more.
Stochastic vibration control of uncertain structures under random loading is an important problem and its minimax optimal control strategy remains to be developed. In this paper, a stochastic optimal control strategy for uncertain structural systems under random excitations is proposed, based on the minimax stochastic dynamical programming principle and the Bayes optimal estimation method with the combination of stochastic dynamics and Bayes inference. The general description of the stochastic optimal control problem is presented including optimal parameter estimation and optimal state control. For the estimation, the posterior probability density conditional on observation states is expressed using the likelihood function conditional on system parameters according to Bayes’ theorem. The likelihood is replaced by the geometrically averaged likelihood, and the posterior is converted into its logarithmic expression to avoid numerical singularity. The expressions of state statistics are derived based on stochastic dynamics. The statistics are further transformed into those conditional on observation states based on optimal state estimation. Then, the obtained posterior will be more reliable and accurate, and the optimal estimation will greatly reduce uncertain parameter domains. For the control, the minimax strategy is designed by minimizing the performance index for the worst-parameter system, which is obtained by maximizing the performance index based on game theory. The dynamical programming equation for the uncertain system is derived according to the minimax stochastic dynamical programming principle. The worst parameters are determined by the maximization of the equation, and the optimal control is determined by the minimization of the resulting equation. The minimax optimal control by combining the Bayes optimal estimation and minimax stochastic dynamical programming will be more effective and robust. Finally, numerical results for a five-story frame structure under random excitations show the control effectiveness of the proposed strategy. Full article
(This article belongs to the Special Issue The Vibration Control of Building Structures)
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9 pages, 1660 KiB  
Article
Evaluation of the Dynamic Parameters Under Seismic Conditions for a Maxwell Rheological Base Isolation System
by Polidor Bratu, Patricia Murzea, Oana Tonciu, Nicusor Dragan and Cornelia Florentina Dobrescu
Buildings 2024, 14(12), 4075; https://doi.org/10.3390/buildings14124075 - 22 Dec 2024
Viewed by 554
Abstract
The connections of seismic isolation devices for mitigating seismic shocks in the fundamental excitation mode are designed and implemented based on the serial combination of elastomeric isolators, which are primarily elastic, with fluid-based isolators, which are primarily viscous. The energy dissipated in the [...] Read more.
The connections of seismic isolation devices for mitigating seismic shocks in the fundamental excitation mode are designed and implemented based on the serial combination of elastomeric isolators, which are primarily elastic, with fluid-based isolators, which are primarily viscous. The energy dissipated in the fluidic isolators represents a significant parameter for ensuring the attenuation degree of the amplitude of the displacement of the system as well as for its energy dissipation capacity as a direct effect on deformability and speed of the heat transfer. For bridges, viaducts, and buildings, families of elastomeric and fluid isolators connected in series are used to enable both analytical and experimental evaluations of the system’s dynamic isolation and energy dissipation capacities. Based on the results obtained from specialized isolation devices from Italy and the numerical and experimental evaluations carried out by ICECON S.A. Bucharest, Romania, this article will address the aforementioned topic. Full article
(This article belongs to the Special Issue The Vibration Control of Building Structures)
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18 pages, 6642 KiB  
Article
The Seismic Behavior of a Base-Isolated Building with Simultaneous Translational and Rotational Motions during an Earthquake
by Polidor Bratu, Daniela Dobre, Ovidiu Vasile and Cornelia-Florentina Dobrescu
Buildings 2024, 14(10), 3099; https://doi.org/10.3390/buildings14103099 - 27 Sep 2024
Cited by 1 | Viewed by 1068
Abstract
This technical study on strengthening a five-story building in Bucharest, a city known for its high seismic activity in Europe, required implementing a base-isolation system as part of the rehabilitation solution. The main challenge was assembling the elastomeric equipment system at the base [...] Read more.
This technical study on strengthening a five-story building in Bucharest, a city known for its high seismic activity in Europe, required implementing a base-isolation system as part of the rehabilitation solution. The main challenge was assembling the elastomeric equipment system at the base of the building and the structural system, which was considered a rigid solid with six degrees of dynamic freedom. This required defining and solving differential equations of motion for earthquake action. It was determined that switching from a six-DoF system to a three-DoF system and then customizing the results for one DoF was justified. The analysis involved designing an isolation system with elastomeric anti-seismic devices and using a dynamic model with degrees of freedom to calculate the response for the first mode (fundamental) of seismic action from the spectral composition of an earthquake. The variation in amplitudes in the three zones—pre-resonance, at resonance and after resonance—is of great interest from a practical and design perspective. Also, the support solution was optimized in terms of the isolators’ location and the stiffness and damping parameters so that the degree of dynamic isolation could be achieved at the highest possible values (I ≥ 60%). Full article
(This article belongs to the Special Issue The Vibration Control of Building Structures)
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