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Vibration
Special Issues
Free Vibration and Dynamic Characteristics of Microheterogeneous Materials and Structures
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Free Vibration and Dynamic Characteristics of Microheterogeneous Materials and Structures

A special issue of Vibration (ISSN 2571-631X).

Deadline for manuscript submissions: 20 September 2026 | Viewed by 2319

Editors

Prof. Dr. Jarosław Jędrysiak

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Guest Editor
Department of Structural Mechanics, Lodz University of Technology, Stefana Żeromskiego 116, 90-924 Łódź, Poland
Interests: structural mechanics and solid thermomechanics; dynamics and thermoelasticity of composites with microstructure; geometrically linear and non-linear dynamics and stability; beams and plates with micro-heterogeneous structure; mathematical tolerance modelling
Special Issues, Collections and Topics in MDPI journals
Dr. Piotr Ostrowski

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Guest Editor
Department of Structural Mechanics, Lodz University of Technology, Stefana Żeromskiego 116, 90-924 Łódź, Poland
Interests: composite materials; mathematical modelling of problems in micro-heterogeneous structures; thermomechanics, dynamics and stability problems in microstructured media
Dr. Jakub Marczak

E-Mail Website
Guest Editor
Department of Structural Mechanics, Lodz University of Technology, al. Politechniki 6, 90-924 Lodz, Poland
Interests: mathematical modeling of microperiodic structures; statics, dynamics and stability of beams and plates; beams on elastic foundations; multilayered and composite structures; defect and imperfection detection in periodic structures; sandwich plates; honeycomb cores
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue deals with analytical and computational methods in the dynamics of microheterogeneous materials and structures. The main areas of interest of this edition include the following: linear and nonlinear models of dynamics of these media; problems of vibrations, wave propagation, dynamic stability of beams, plates, and shells; microheterogeneous media; layered media; materials with special properties—metamaterials, auxetic materials, porous materials, biomaterials, functionally graded materials, and structures made of them.

We invite you to submit your scientific papers on the latest research results in these aspects of the mechanics of these media—materials and structures—with an emphasis on applications in all areas of mechanics, biomechanics, and civil engineering.

Prof. Dr. Jarosław Jędrysiak
Dr. Piotr Ostrowski
Dr. Jakub Marczak
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 250 words) can be sent to the Editorial Office for assessment.

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-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Vibration is an international peer-reviewed open access quarterly 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 1600 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

  • mathematical and computational modelling of materials and structures
  • structural dynamics
  • biomechanics
  • dynamics
  • metamaterials
  • auxetic materials
  • functionally graded materials
  • microstructure
  • fluid mechanics

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (2 papers)

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Research

35 pages, 12550 KB  
Article
Comparative Study on the Interaction Between Underwater Explosion Bubbles and Elastic Plates with Vertical and Horizontal Orientations
by Kexin Chen, Lin Lu, Changan Xu, Luyue Xi and Xianghong Huang
Vibration 2026, 9(2), 32; https://doi.org/10.3390/vibration9020032 - 8 May 2026
Viewed by 400
Abstract
Underwater explosion bubbles generate intense pressure pulses and high-speed re-entrant jets during their expansion and collapse processes, posing significant threats to ships and submerged structures. In practical engineering, plate-like structures with different orientations are widely encountered; therefore, investigating the influence of boundary orientation [...] Read more.
Underwater explosion bubbles generate intense pressure pulses and high-speed re-entrant jets during their expansion and collapse processes, posing significant threats to ships and submerged structures. In practical engineering, plate-like structures with different orientations are widely encountered; therefore, investigating the influence of boundary orientation on bubble dynamics is of great importance. In this study, underwater electrical explosion experiments were conducted using a capacitor discharge voltage of 300 V, with stand-off distances ranging from 1 mm to 30 mm. Two typical boundary configurations were established, namely a vertical plate and a horizontal plate. High-speed imaging was employed to capture the complete bubble evolution process, while coupled Eulerian–Lagrangian (CEL) simulations were performed to analyze bubble dynamics and structural response. The results indicate that, under the vertical plate condition, the maximum bubble diameter decreases monotonically with increasing stand-off distance, whereas the oscillation period exhibits a non-monotonic variation. At a stand-off distance of 5 mm, the maximum bubble diameter in the vertical plate configuration is 40.3% larger than that in the horizontal plate configuration. The reflected shock wave from the elastic boundary modifies the surrounding pressure field, thereby influencing the evolution of the bubble interface. In the presence of a vertical elastic plate, the bubble exhibits a centroid displacement during the expansion phase, and a re-entrant jet directed toward the boundary forms during collapse. In contrast, under the horizontal elastic plate condition, the bubble maintains a nearly axisymmetric evolution, and the re-entrant jet develops along the vertical direction. As the standoff distance between the plate and the charge center increases, the boundary effect gradually weakens, and the bubble morphology approaches that under free-field conditions. This study provides experimental evidence for understanding bubble–structure interaction (BSI) between underwater explosion bubbles and ship plate structures, and offers valuable insights for blast-resistant design of naval structures and the evaluation of underwater explosion loads. Full article
(This article belongs to the Special Issue Free Vibration and Dynamic Characteristics of Microheterogeneous Materials and Structures)
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15 pages, 3229 KB  
Article
Nonlinear Characterisation of Wind Turbine Gearbox Vibration Dynamics Driven by Inhomogeneous Helical Gear Wear
by Khaldoon F. Brethee, Ghalib R. Ibrahim and Al-Hussein Albarbar
Vibration 2026, 9(1), 20; https://doi.org/10.3390/vibration9010020 - 16 Mar 2026
Viewed by 1280
Abstract
Helical gear transmissions in wind turbine gearboxes operate under high torque, variable speed, and complex rolling–sliding contact conditions, where friction-induced wear evolves in a spatially non-uniform manner. However, most existing dynamic models assume uniform or mild wear and therefore fail to capture the [...] Read more.
Helical gear transmissions in wind turbine gearboxes operate under high torque, variable speed, and complex rolling–sliding contact conditions, where friction-induced wear evolves in a spatially non-uniform manner. However, most existing dynamic models assume uniform or mild wear and therefore fail to capture the nonlinear coupling between localised tooth surface degradation, gear mesh dynamics, and vibration response. In this work, a nonlinear dynamic model of a helical gear pair is formulated by incorporating time-varying mesh stiffness, elasto-hydrodynamic lubrication (EHL)-based friction forces, and wear-dependent contact geometry. The governing equations of motion are derived to explicitly account for the influence of inhomogeneous tooth wear on the contact load distribution and frictional excitation during meshing. Wear evolution is represented as a spatially varying modification of tooth surface topology, enabling the progressive coupling between wear depth, mesh stiffness perturbations, and dynamic transmission error. The model is employed to analyse the effects of non-uniform wear on system stability, vibration spectra, and dynamic response under wind turbine operating conditions. Numerical results reveal that uneven wear introduces nonlinear modulation of gear mesh forces and generates characteristic sidebands and amplitude variations in the vibration signal that are absent in conventional mild-wear formulations. These wear-induced dynamic features provide mathematically traceable indicators for the onset and progression of uneven tooth degradation. The proposed framework establishes a physics-based link between wear evolution and measurable vibration responses, providing a rigorous foundation for advanced vibration-based diagnostics and model-driven condition monitoring of wind turbine gearboxes. Full article
(This article belongs to the Special Issue Free Vibration and Dynamic Characteristics of Microheterogeneous Materials and Structures)
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