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Applied Sciences
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Nonlinear Dynamics and Vibration Control of Structures
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Nonlinear Dynamics and Vibration Control of Structures

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Mechanical Engineering".

Deadline for manuscript submissions: closed (20 December 2023) | Viewed by 3849

Special Issue Editors

Dr. Hulun Guo

E-Mail Website
Guest Editor
Department of Mechanics, Tianjin University, Tianjin 300072, China
Interests: nonlinear suppression of structural vibration; dynamics of thin-walled rotating composite structures; rotor dynamics
Dr. Lei Hou

E-Mail Website
Guest Editor
School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
Interests: nonlinear dynamics and vibration control; intelligent modeling; intelligent fault diagnosis; digital twins
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues，

There are many vibration problems in the design and analysis of mechanical structures, which present significant new challenges for the promotion and application of these mechanical structures. Although a lot of research has been carried out for developing the nonlinear dynamics and vibration control of different structures, it is still challenging to promote new experimental techniques and new theoretical methods for the nonlinear dynamics and vibration control analyses of many new mechanical structures.

To rapidly report and spread the latest advancements in the nonlinear dynamics and vibration control of structures, including discoveries and valuable applied research from all over the world, this Special Issue aims to provide an international forum for deeply discussing the developing studies for nonlinear dynamics, stability, and vibration control of different advanced structures. The topics include but are not limited to the latest developments of new experimental techniques as well as analytical and advanced numerical tools for linear/nonlinear vibration, stability, chaos, flutter, vibration suppression, and vibration control analyses. Additionally, new insights into advanced numerical approaches to nonlinear dynamics problems of composite structures and rotating structures are invited. The editors welcome high-quality and well-written comprehensive review papers on modern experimental and numerical techniques for analyzing the nonlinear dynamics and vibration control of structures in the subject area of this special issue.

Dr. Hulun Guo
Dr. Lei Hou
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. Applied Sciences 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 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

  • nonlinear dynamics
  • vibration
  • nonlinear vibration
  • stability
  • chaos
  • flutter
  • aeroelasticity
  • vibration suppression
  • vibration control

Published Papers (3 papers)

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Research

23 pages, 5567 KiB  
Article
Analysis and Design of Nonlinear Tuned Mass Damper Based on Complex Variable Averaging Method
by Yujun Hu, Ji Yao, Junfeng Liu and Qing Zhang
Appl. Sci. 2023, 13(10), 6287; https://doi.org/10.3390/app13106287 - 21 May 2023
Cited by 2 | Viewed by 1315
Abstract
As one of the most representative passive control devices, tuned mass dampers (TMDs) are widely used in civil engineering, aerospace, machinery, and other fields, after years of research and improvement. However, due to their large displacement and the use of a limiting device, [...] Read more.
As one of the most representative passive control devices, tuned mass dampers (TMDs) are widely used in civil engineering, aerospace, machinery, and other fields, after years of research and improvement. However, due to their large displacement and the use of a limiting device, they inevitably exhibit some nonlinear characteristics in practical engineering applications. This nonlinearity is often ignored; however, neglecting it in the design process can adversely affect the control performance. Therefore, considering the nonlinearity of a TMD while designing TMD parameters can make the calculation results closer to reality and benefit the structural design. In this paper, we derived the approximate analytical solution of TMD amplitude using the complex variable averaging method by considering the nonlinearity generated by a TMD in the vibration process. Theoretical optimal design parameters were obtained by analytical comparison, and we compared the computational time consumption of this method and the numerical method. The results showed that the optimized parameters of the TMD obtained by nonlinear design possessed a good vibration reduction effect both before and after the TMD generated nonlinear characteristics. Additionally, the complex averaging method generated frequency response curves tens of times faster than the numerical method. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Vibration Control of Structures)
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16 pages, 4631 KiB  
Article
Aerothermoelastic Analysis of Conical Shell in Supersonic Flow
by Min Wang, Leilei Zeng, Changying Zhao, Shupeng Sun and Yang Yang
Appl. Sci. 2023, 13(8), 4850; https://doi.org/10.3390/app13084850 - 12 Apr 2023
Cited by 1 | Viewed by 961
Abstract
The aerothermoelastic behavior of a conical shell in supersonic flow is studied in the paper. According to Love’s first approximation shell theory, the kinetic energy and strain energy of the conical shell are expressed and the aerodynamic model is established by using the [...] Read more.
The aerothermoelastic behavior of a conical shell in supersonic flow is studied in the paper. According to Love’s first approximation shell theory, the kinetic energy and strain energy of the conical shell are expressed and the aerodynamic model is established by using the linear piston theory with a curvature correction term. By taking the characteristic orthogonal polynomial series as the admissible functions, the mode function of conical shell under different boundary conditions can be obtained using the Rayleigh–Ritz method. Then, the dynamic model of the conical shell is derived by using the Lagrange equation. Based on the model, variations in the natural frequencies with respect to temperature and free-stream static pressure are analyzed. Additionally, the effects of the length-to-radius ratio, the thickness-to-radius ratio, and semi-vertex angle, as well as the thermal and aerodynamic loads on the aerothermoelastic stability of the structure are investigated in detail. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Vibration Control of Structures)
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16 pages, 1476 KiB  
Article
Application of Interpolating Matrix Method to Study Dynamics of Axially Moving Beams Made of Functionally Graded Materials
by Jing-Ping Wang, Ren-Yu Ge and Ye Tang
Appl. Sci. 2023, 13(3), 1449; https://doi.org/10.3390/app13031449 - 22 Jan 2023
Cited by 1 | Viewed by 974
Abstract
In this paper, the divergent instability and coupled flutter characteristics of axially moving beams made of functionally graded materials (FGM) are studied using the interpolation matrix method. The material property of the beam is designed to change smoothly and continuously along the thickness [...] Read more.
In this paper, the divergent instability and coupled flutter characteristics of axially moving beams made of functionally graded materials (FGM) are studied using the interpolation matrix method. The material property of the beam is designed to change smoothly and continuously along the thickness direction. In considering the Euler-Bernoulli beam theory, Hamilton’s principle is used to derive the differential equation of the transverse vibration kinematics of axially moving FGM beams. In addition, the calculation model for solving the complex frequency of the beam based on the interpolation matrix method has been established. The presented solutions are compared with those in the literature to illustrate the effectiveness of the interpolation matrix method. The results show that the divergence and flutter velocities of axially moving FGM beams tend to decrease with the increase of the material gradient index, and there is a very narrow stability region between the first static instability region (divergence) and the first dynamic instability region (first- and second-order coupled flutter). Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Vibration Control of Structures)
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