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Nonlinear Dynamics in Mechanical Engineering and Thermal Engineering

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

Deadline for manuscript submissions: 20 September 2025 | Viewed by 277

Special Issue Editors


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Guest Editor
1. Department of Mechanics and Strength of Materials, University Politehnica Timisoara, 300222 Timisoara, Romania
2. Department of Electromechanics and Vibration, Center for Advanced and Fundamental Technical Research, Romanian Academy, 300223 Timisoara, Romania
Interests: analytical approaches to dynamical systems; rotating electrical machines
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
1. Department of Mechanics and Strength of Materials, University Politehnica Timisoara, 300222 Timisoara, Romania
2. Department of Electromechanics and Vibration, Center for Advanced and Fundamental Technical Research, Romanian Academy, 300223 Timisoara, Romania
Interests: nonlinear dynamical systems; rotating electric machines
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Numerous physical phenomena in the field of engineering are modeled using nonlinear ordinary differential equations or partial differential equations. It is well known that there is no general theory for finding exact solutions to these equations. To solve complex nonlinear dynamic problems, it is necessary to apply approximate analytical methods and numerical or experimental methods that are efficient and simple, leading to providing explicit, conclusive results for engineering practice. Perturbative, asymptotic, homotopic, or optimal semi-numerical analytical methods are frequently used successfully to obtain approximate analytical solutions.

We are pleased to invite you to present your original new developments to this Special Issue, which aims to collect original contributions that investigate nonlinear dynamical systems in the fields of mechanical engineering and thermal engineering.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:

  1. Acoustics and vibrations;
  2. Applied thermal engineering;
  3. Mechanical engineering.

We look forward to receiving your contributions.

Prof. Dr. Vasile Marinca
Dr. Nicolae Herisanu
Guest Editors

Manuscript Submission Information

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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 systems
  • analytical solutions
  • vibration
  • resonance
  • stability
  • thermodynamics
  • thermal nonlinearity
  • temperature dependency

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Published Papers (1 paper)

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Research

18 pages, 4359 KiB  
Article
Vortex-Induced Micro-Cantilever Vibrations with Small and Large Amplitudes in Rarefied Gas Flow
by Emil Manoach, Kiril Shterev and Simona Doneva
Appl. Sci. 2025, 15(10), 5547; https://doi.org/10.3390/app15105547 - 15 May 2025
Viewed by 83
Abstract
This study employs a fully coupled fluid–structure interaction (FSI) to investigate the vibrations of an elastic micro-cantilever induced by a rarefied gas flow. Two distinct models are employed to characterize the beam vibrations: the small deflection Euler–Bernoulli beam theory and the large deflection [...] Read more.
This study employs a fully coupled fluid–structure interaction (FSI) to investigate the vibrations of an elastic micro-cantilever induced by a rarefied gas flow. Two distinct models are employed to characterize the beam vibrations: the small deflection Euler–Bernoulli beam theory and the large deflection beam theory. The cantilever is oriented normally to the free stream, creating a regular Kármán vortex street behind the beam, resulting in vortex-induced vibrations (VIV) in the micro-cantilever. The Direct Simulation Monte Carlo (DSMC) method is used to model the rarefied gas flow to capture non-continuum effects. A hybrid numerical approach couples the beam dynamics and gas flow, enabling a fully coupled FSI simulation. A substantial number of numerical computations indicate that the range of vibration amplitudes expands when the natural frequency of the beam approaches the vortex shedding frequency. Notably, the large deflection beam theory predicts that the peak amplitude occurs at a slightly lower frequency than the vortex frequency. In this frequency range, as well as for thinner beams, the amplitude ranges predicted by the large deflection beam theory exceed those obtained from the small deflection beam theory. This finding implies that for more complex behaviours involving nonlinear effects, the large deflection theory may yield more accurate predictions. Full article
(This article belongs to the Special Issue Nonlinear Dynamics in Mechanical Engineering and Thermal Engineering)
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