August 1, 2022
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A frequency-domain procedure to design TMDs for lively pedestrian structures considering Human–Structure Interaction

Publicated to: Structures. 43 1187-1199 - 2022-09-01 43(), DOI: 10.1016/j.istruc.2022.07.032

Authors:

Gallegos-Calderon, C; Renedo, CMC; Pulido, MDG; Diaz, IM
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Affiliations

CSIC - Instituto de Ciencias de la Construcción Eduardo Torroja (IETCC) , Universidad Politécnica de Madrid - Author
CSIC, Inst Ciencias Construcc Eduardo Torroja, Madrid, Spain - Author
Univ Politecn Madrid, Dept Continuum Mech & Theory Struct, ETSI Caminos, Canales & Puertos, Madrid, Spain - Author
Universidad Politécnica de Madrid - Author
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Abstract

The use of advanced low-density high-strength materials, such as Fibre Reinforced Polymers (FRPs) or aluminium alloys, has enabled to construct lightweight and slender footbridges, which structural design may be governed by the Vibration Serviceability Limit State (VSLS) under human-induced loads. These structures may be excited in resonance by higher and less energetic harmonics of human actions in contrast to footbridges built with traditional construction materials. Additionally, Human–Structure Interaction (HSI) may be relevant on the dynamic response of these type of pedestrian structures. A solution for the aforementioned issues may be the installation of Tuned Mass Dampers (TMDs) in the bridge. Thus, this paper presents a frequency-domain procedure to design TMDs for lively pedestrian structures based on a coupled Human–Structure–controller system. The proposal, which accounts for uncertainties associated to the structure and the interaction phenomenon, is applied to design passive inertial control systems for an FRP footbridge. Also, the implications of HSI in the design of TMDs are discussed, and the performance of the designed devices is assessed considering two human actions, bouncing and walking. Since the peak value of the steady-state response of a pedestrian structure can be fast assessed through algebraic operations, the proposed approach is suitable to design robustly control systems against human-induced vibrations. As a result, structural elements and controllers can be properly dimensioned, leading to further cost-effective footbridge projects.
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Keywords

damper modelfootbridgefrequency domainlightweight pedestrian structurestuned mass dampersvibration controlwalkingFrequency domainHuman-structure interactionHuman–structure interactionInduced vibrationLightweight pedestrian structuresTuned mass dampersVibration control

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Structures due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2022, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Architecture. Notably, the journal is positioned above the 90th percentile.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations from Scopus Elsevier, it yields a value for the Field-Weighted Citation Impact from the Scopus agency: 1.13, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 13, 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2026-04-27, the following number of citations:

  • WoS: 10
  • Scopus: 9
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-27:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 28 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/87422/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 152
  • Downloads: 33
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Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (GALLEGOS CALDERÓN, CHRISTIAN) and Last Author (MUÑOZ DIAZ, IVAN).

the author responsible for correspondence tasks has been GALLEGOS CALDERÓN, CHRISTIAN.

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