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Vibration
Special Issues
Structural Vibration: Modeling, Analysis, Optimization and Engineering Applications
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Structural Vibration: Modeling, Analysis, Optimization and Engineering Applications

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

Deadline for manuscript submissions: 30 October 2026 | Viewed by 5116

Editors

Dr. Cong Gao

E-Mail Website
Guest Editor
School of Naval Architecture & Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212001, China
Interests: functionally graded materials; shock; structural vibration; acoustic
Dr. Haichao Li

E-Mail Website
Guest Editor
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
Interests: acoustic–vibration coupling
Special Issues, Collections and Topics in MDPI journals
Dr. Xianghong Huang

E-Mail Website
Guest Editor
School of Naval Architecture & Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212001, China
Interests: dynamic response; vibration control

Special Issue Information

Dear Colleagues,

With the rapid development of engineering technology, modern structures tend to be large-scale, complex and high-performance, making structural vibration a prominent issue in civil, mechanical, aerospace and marine engineering. Solving such problems is crucial for ensuring structural safety, durability, operational efficiency and service life, thus making structural vibration research a key academic and industrial focus. In this Special Issue, we aim to present the latest progress in this field, covering topics including linear/nonlinear dynamic modeling of structural vibration, modal analysis and parameter identification, stability analysis and bifurcation/chaotic behavior study, multi-field coupling vibration mechanisms, wave propagation theory and control, efficient numerical algorithms, motion simulation and statistical analysis, multi-scale modeling of large complex structures, vibration test system design and optimization, ship/marine structure vibration test and data analysis, passive vibration control, topology/size optimization for vibration suppression and AI applications in structural vibration. The submission of interdisciplinary studies on complex vibration problems are also welcomed to boost theory–practice integration.

The scope of the Special Issue is as follows:

  1. Linear/nonlinear dynamic modeling theory of structural vibration;
  2. Structural modal analysis and parameter identification;
  3. Stability analysis of structural vibration and studies of bifurcation and chaotic behavior;
  4. Structural vibration mechanism and coupling dynamics under multi-field coupling;
  5. Wave propagation theory and the wave control method of structural vibration;
  6. An efficient numerical algorithm for structural vibration analysis;
  7. Numerical simulation and statistical analysis of structural motion;
  8. Multi-scale modeling and simulation technology of large complex structural vibration;
  9. Design and optimization of experimental test systems for structural vibration;
  10. Animal testing and data analysis of ships and marine structures;
  11. Passive control technology for structural vibration;
  12. The application of structural topology optimization and size optimization in vibration suppression;
  13. Artificial intelligence applications of structural vibration.

Dr. Cong Gao
Dr. Haichao Li
Dr. Xianghong Huang
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

  • dynamic modeling
  • modal analysis
  • vibration
  • acoustic
  • numerical simulation
  • test

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

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

Published Papers (5 papers)

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Research

26 pages, 26979 KB  
Article
Dynamic Modeling and Guide Rail Parameter Optimization of a Four-Axis Precision Motion Stage Based on the Generalized Receptance Coupling Substructure Analysis
by Fengguo Li, Peng Yao, Yao Hou, Xinyu Mao, Zhonglei Zhang, Wei Wu, Jiarong Bai, Jubin Zhang, Tonghui Hu, Hongyi Sun, Jiaofeng Ma, Yang Yu and Wenxiu Yu
Vibration 2026, 9(3), 52; https://doi.org/10.3390/vibration9030052 - 19 Aug 2026
Viewed by 163
Abstract
The stable and reliable operation of precision motion stages constitutes a core prerequisite for accurate machining and operation in high-end equipment. Aiming at solving the problems of insufficient dynamic modeling accuracy, difficulty in achieving the precise prediction of guide rail parameters, and inadequate [...] Read more.
The stable and reliable operation of precision motion stages constitutes a core prerequisite for accurate machining and operation in high-end equipment. Aiming at solving the problems of insufficient dynamic modeling accuracy, difficulty in achieving the precise prediction of guide rail parameters, and inadequate system performance optimization, this paper takes a four-axis precision motion stage as the research object and conducts a systematic study on dynamic modeling, guide rail parameter prediction, and system performance optimization. Verification results show that the maximum errors of natural frequencies in the x, y, z, and β directions are 1.3%, 4%, 5%, and 1%, respectively. The predicted results of the model are in good agreement with the experimental data, based on the dynamic model of the precision motion stage and the prediction model of guide rail dynamic parameters. On this basis, the guide rail-related parameters were optimized. After optimization, compared with the original state, the performance in the z and β directions was significantly improved: the natural frequency in the z direction was increased from 57 Hz to 70 Hz, and the natural frequency in the β direction was increased from 110 Hz to 154 Hz. This improvement enhances the overall anti-vibration capability at low frequencies and effectively ensures the stability and reliability of the precision motion stage during operation. The method used in this study has generality and transferability, which can provide a theoretical basis and technical support for the dynamic design and parameter optimization of various precision motion systems. Full article
(This article belongs to the Special Issue Structural Vibration: Modeling, Analysis, Optimization and Engineering Applications)
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14 pages, 2763 KB  
Article
A Semi-Analytical Legendre–Ritz Method to Dynamically Analyze a Stepped Functionally Graded Cylindrical Shell
by Yanbin Shen, Lijia Yang, Diming Guo and Luyue Xi
Vibration 2026, 9(2), 37; https://doi.org/10.3390/vibration9020037 - 22 May 2026
Viewed by 887
Abstract
This study introduces the dynamic characteristics of stepped functionally graded (FG) cylindrical shells under general boundary conditions using the Legendre–Ritz method. The calculated model is established based on the first-order shear deformation theory and the domain decomposition method, and the artificial spring is [...] Read more.
This study introduces the dynamic characteristics of stepped functionally graded (FG) cylindrical shells under general boundary conditions using the Legendre–Ritz method. The calculated model is established based on the first-order shear deformation theory and the domain decomposition method, and the artificial spring is introduced to simulate the boundary conditions and ensure segment continuity. The Legendre polynomials and the Fourier series are used to form the admissible displacement function. The Rayleigh–Ritz method is employed to determine the free and forced vibration characteristics of stepped FG cylindrical shells. Results are presented for various boundary conditions, material parameters and geometric dimensions, and comparisons with published studies are performed. The method demonstrates good accuracy, providing a basis for analyzing the vibration behavior of stepped FG cylindrical shells. Full article
(This article belongs to the Special Issue Structural Vibration: Modeling, Analysis, Optimization and Engineering Applications)
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26 pages, 5397 KB  
Article
Nonlinear Dynamics of Automotive Brake-Induced Shimmy Under the Coupling Effect of the Steering Mechanism Clearance Joints
by Guo Li, Qingyun Ye, Xuze Wu, Muyang Wu, Wen Liu and Hang Wang
Vibration 2026, 9(2), 35; https://doi.org/10.3390/vibration9020035 - 19 May 2026
Viewed by 590
Abstract
Brake-induced steering wheel shimmy is a critical nonlinear dynamic phenomenon that severely compromises vehicle handling stability and driving safety. While clearances in steering mechanism kinematic pairs are widely recognized as a primary cause of shimmy instability, the coupling effect of multiple concurrent clearances [...] Read more.
Brake-induced steering wheel shimmy is a critical nonlinear dynamic phenomenon that severely compromises vehicle handling stability and driving safety. While clearances in steering mechanism kinematic pairs are widely recognized as a primary cause of shimmy instability, the coupling effect of multiple concurrent clearances remains poorly characterized, particularly under transient braking conditions. In this work, a 5-degree-of-freedom non-autonomous dynamic model of brake-induced shimmy is developed using Lagrange’s equations. The model comprehensively incorporates the non-smooth contact behavior of multiple clearance joints, transient braking axle load transfer, and the longitudinal–lateral coupling nonlinearity of tires. The nonlinear dynamic evolution of the system is investigated through phase portraits, Poincaré sections, and continuous wavelet transform analysis. Numerical results demonstrate that multi-clearance coupling increases the peak shimmy angle by more than 40% compared to the single-clearance case. As the clearance magnitude increases from 0.05 mm to 0.40 mm, the system undergoes a transition from stable periodic motion to high-dimensional chaos, accompanied by a 67% reduction in vibration energy concentration at the 0.4 mm clearance level. This study elucidates the nonlinear mechanism underlying clearance-induced brake shimmy, providing a robust theoretical foundation for steering system parameter optimization and shimmy mitigation strategies. Full article
(This article belongs to the Special Issue Structural Vibration: Modeling, Analysis, Optimization and Engineering Applications)
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17 pages, 842 KB  
Article
In-Plane Vibration Analysis of Annular Plates Considering All Combinations of Edge Conditions
by Yoshihiro Narita
Vibration 2026, 9(1), 17; https://doi.org/10.3390/vibration9010017 - 9 Mar 2026
Viewed by 851
Abstract
The Ritz method is applied to an in-plane vibration analysis to obtain accurate frequencies of isotropic annular plates. The method is formulated in a manner that allows all combinations of free boundary conditions, two types of supported (constraining only either radial or circumferential [...] Read more.
The Ritz method is applied to an in-plane vibration analysis to obtain accurate frequencies of isotropic annular plates. The method is formulated in a manner that allows all combinations of free boundary conditions, two types of supported (constraining only either radial or circumferential displacement) boundary conditions, and clamped boundary conditions. Admissible functions for the two displacement components are chosen as products of trigonometric functions in the circumferential coordinate and special algebraic polynomials in the radial coordinate, enabling all possible boundary-condition combinations to be satisfied. In the numerical study, after the solution’s accuracy is verified through convergence and comparison tests, extensive and accurate frequency parameters are presented to cover all combinations of the four in-plane boundary conditions along the outer and inner edges of the annular plates. Full article
(This article belongs to the Special Issue Structural Vibration: Modeling, Analysis, Optimization and Engineering Applications)
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20 pages, 5655 KB  
Article
Semi-Analytical Modeling and Free Vibration Analysis of Joined Conical–Cylindrical Shells with Axially Stepped Thickness
by Lin Lu, Zhe Zhao, Ting Li, Cong Gao and Jiajun Zheng
Vibration 2026, 9(1), 13; https://doi.org/10.3390/vibration9010013 - 13 Feb 2026
Cited by 2 | Viewed by 1368
Abstract
This study develops a semi-analytical method for free vibration analysis of joined conical–cylindrical shell with axially stepped thickness. The computational framework is built through the domain decomposition method, artificial spring technology and shear deformation shell theory. Kinematic admissible functions are constructed via superposition [...] Read more.
This study develops a semi-analytical method for free vibration analysis of joined conical–cylindrical shell with axially stepped thickness. The computational framework is built through the domain decomposition method, artificial spring technology and shear deformation shell theory. Kinematic admissible functions are constructed via superposition of Chebyshev orthogonal polynomials and trigonometric series. Subsequently, the Rayleigh–Ritz method is employed to solve for the system’s characteristic frequencies. The accuracy of the method is further verified by the excellent agreement between the current results and those from published studies and finite element simulations. Ultimately, the influence of boundary conditions, structural parameters and stepped thickness distribution on the free vibration characteristics of conical–cylindrical shells are systematically discussed. These findings reveal the critical methodological constraints in free vibration modeling of stepped thickness shell systems, thereby advancing vibration design optimization for the stepped thickness structures. Full article
(This article belongs to the Special Issue Structural Vibration: Modeling, Analysis, Optimization and Engineering Applications)
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