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Symmetry
Special Issues
Symmetry and Asymmetry in Dynamics of Mechanical and Structural Engineering
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Symmetry and Asymmetry in Dynamics of Mechanical and Structural Engineering

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Engineering and Materials".

Deadline for manuscript submissions: 31 December 2026 | Viewed by 1930

Special Issue Editors

Dr. Xiaofei Du

E-Mail Website
Guest Editor
School of Mechanical Engineering, Nanjing Institute of Technology, Nanjing 211167, China
Interests: vibration analysis and control; vibro-acoustic analysis; mechanical dynamics; acoustic black hole
Dr. Qidi Fu

E-Mail Website
Guest Editor
School of Mechanical Engineering, Southeast University, Nanjing 211189, China
Interests: structural dynamics; vibration analysis and control; sound absorption and insulation; multi-body dynamics; structural optimization design
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We are delighted to announce a Special Issue on "Symmetry and Asymmetry in Dynamics of Mechanical and Structural Engineering" in Symmetry. The concepts of symmetry and asymmetry play a foundational role in the dynamic behavior of engineering systems, influencing vibration, acoustics, control, and energy transmission. From machinery and marine structures to civil infrastructure and metamaterials, the presence—or intentional breaking—of symmetry leads to rich dynamic phenomena that are critical to system performance, safety, and innovation. Recent advances in design and manufacturing further highlight the need to explore these properties under nonlinear, time-varying, or extreme loading conditions.

This Special Issue invites original research articles and reviews that address theoretical, computational, and experimental studies related to symmetry-driven dynamics. Topics of interest include, but are not limited to, symmetric and asymmetric vibrations, acoustic and vibro-acoustic analysis, acoustic and mechanical metamaterials, energy harvesting, structural health monitoring, and applications in mechanical engineering and structural engineering. We welcome submissions that present novel analytical, numerical, or experimental approaches contributing to this significant and evolving field.

We look forward to receiving your high-quality contributions.

Dr. Xiaofei Du
Dr. Qidi Fu
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-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly 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 2400 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

  • mechanical and structural engineering
  • sound and vibration
  • vibration analysis and control
  • acoustic and vibro-acoustic analysis
  • acoustic and mechanical metamaterials
  • sound absorption and insulation
  • energy harvesting
  • multi-body dynamics
  • structural health monitoring
  • engineering applications

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

Published Papers (3 papers)

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Research

16 pages, 2880 KB  
Article
Dynamic Modeling of Planetary Gear Reducer in High-Torque Hub Drive System
by Fang Li, Xiaofei Du, Haoyu Jiao, Jianrun Zhang and Qidi Fu
Symmetry 2026, 18(3), 429; https://doi.org/10.3390/sym18030429 - 28 Feb 2026
Viewed by 505
Abstract
The hub drive system has emerged as a promising development orientation for future vehicles, with the planetary gear reducer serving as its key power transmission component. Considering the complexity of the reducer’s dynamic characteristics under high-torque conditions, this study establishes a lumped parameter [...] Read more.
The hub drive system has emerged as a promising development orientation for future vehicles, with the planetary gear reducer serving as its key power transmission component. Considering the complexity of the reducer’s dynamic characteristics under high-torque conditions, this study establishes a lumped parameter translational–torsional coupling dynamic model for the two-stage planetary gear reducer based on Lagrange’s dynamic equations, incorporating critical nonlinear factors such as time-varying meshing stiffness and tooth clearance. No-load vibration tests were conducted to collect vibration acceleration of the secondary planet carrier and the primary ring gear under the operating condition of the primary sun gear rotating at 606 r/min. Experimental verification indicates that the errors between the simulation results and experimental acceleration amplitudes are 9.09% and 14.63%, respectively, confirming the validity and reliability of the theory model. This translational–torsional coupling dynamic model provides significant theoretical support for the dynamic optimization design, vibration control, and performance improvement of reducers in high-torque hub drive systems. Full article
(This article belongs to the Special Issue Symmetry and Asymmetry in Dynamics of Mechanical and Structural Engineering)
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30 pages, 2661 KB  
Article
Symmetry-Aware Simulation and Experimental Study of Thin-Wall AA7075 End Milling: From Tooth-Order Force Symmetry to Symmetry-Breaking Dynamic Response and Residual Stress
by Dongpeng Shu and S. S. A. Shah
Symmetry 2026, 18(1), 74; https://doi.org/10.3390/sym18010074 - 1 Jan 2026
Viewed by 587
Abstract
Symmetry and asymmetry jointly govern the dynamics and surface integrity of thin-wall AA7075 end milling. In this work, a symmetry-aware simulation and experimental framework is developed to connect process parameters with milling forces, dynamic response, surface quality, and through-thickness residual stress. A mechanistic [...] Read more.
Symmetry and asymmetry jointly govern the dynamics and surface integrity of thin-wall AA7075 end milling. In this work, a symmetry-aware simulation and experimental framework is developed to connect process parameters with milling forces, dynamic response, surface quality, and through-thickness residual stress. A mechanistic milling-force model is first established for multi-tooth end milling, where the periodically repeated tooth-order excitation provides a nominally symmetric load pattern along the tool path. The predicted forces are then used as input for finite-element modal and harmonic-response analysis of a thin-walled component, revealing how symmetric and anti-symmetric mode shapes interact with the tooth-order excitation to generate locally amplified, asymmetric vibration of the compliant wall. Orthogonal and single-factor milling experiments on AA7075 thin-wall specimens are performed to calibrate and validate the force model, and to quantify the influence of feed per tooth, axial depth of cut, spindle speed, and radial width of cut on deformation, surface roughness, and geometric accuracy. Finally, a thermo-mechanically coupled finite-element model is employed to evaluate the residual-stress field, showing a characteristic pattern in which an initially symmetric thermal–mechanical loading produces depth-wise symmetry breaking between tensile surface layers and compressive subsurface zones. The proposed symmetry-aware framework, which combines milling-force theory, finite-element simulation, and systematic experiments, provides practical guidance for selecting parameter windows that suppress vibration, control residual stress, and improve the machining quality of thin-wall AA7075 components. Full article
(This article belongs to the Special Issue Symmetry and Asymmetry in Dynamics of Mechanical and Structural Engineering)
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19 pages, 4544 KB  
Article
Research on Multi-View Phase Shift and Highlight Region Treatment for Large Curved Parts Measurement
by Ronggui Song, Xiaofo Liu, Chen Luo and Yijun Zhou
Symmetry 2025, 17(12), 2077; https://doi.org/10.3390/sym17122077 - 4 Dec 2025
Viewed by 456
Abstract
For large curved parts with complex surfaces, which often exhibit both symmetry and asymmetry in their geometric features, the multi-view combined with the phase shift method and highlight regions treatment method has been proposed and applied to the online measurement system. The hardware [...] Read more.
For large curved parts with complex surfaces, which often exhibit both symmetry and asymmetry in their geometric features, the multi-view combined with the phase shift method and highlight regions treatment method has been proposed and applied to the online measurement system. The hardware components of the measuring system include a self-designed multi-vision platform and a multi-view three-dimensional measurement platform composed of rotating platform, robot and linear guide rail. The overall calibration of the system was conducted to guarantee the effectiveness of the measurement point cloud splicing of each viewing angle. And the system integrates the three-dimensional measurement technology of multi vision combined with the phase shift method and online measure system to realize full coverage and high-precision measurement of the impeller—addressing both its inherent symmetry (regular blade arrangement) and local asymmetry (irregular edge details)—and controls the relative error of the measured size and the actual size within 1%. In addition, the highlight regions treatment method has also been proposed. By adjusting the camera’s exposure time to change the light intensity of the captured images, images under different exposures and their valid pixels are obtained, thereby facilitating the synthesis of a composite image free of highlight phenomena. Experimental results demonstrate that the proposed method can achieve full-coverage measurement of the measured object and effective measurement of highlight regions. Full article
(This article belongs to the Special Issue Symmetry and Asymmetry in Dynamics of Mechanical and Structural Engineering)
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