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Applied Sciences
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Nonlinear Dynamics in Mechanical Engineering and Thermal Engineering
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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 1229

Special Issue Editors

Prof. Dr. Vasile Marinca

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: analytical approaches to dynamical systems; rotating electrical machines
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Nicolae Herisanu

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

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

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Published Papers (4 papers)

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Research

15 pages, 1396 KiB  
Article
Modeling and Key Parameter Interaction Analysis for Ship Central Cooling Systems
by Xin Wu, Ping Zhang, Pan Su and Jiechang Wu
Appl. Sci. 2025, 15(13), 7241; https://doi.org/10.3390/app15137241 - 27 Jun 2025
Viewed by 111
Abstract
To achieve efficient prediction and optimization of the energy consumption of ship central cooling systems, this paper first constructed and validated a high-precision multi-physical domain simulation model of the ship central cooling system based on fluid heat transfer principles and the physical network [...] Read more.
To achieve efficient prediction and optimization of the energy consumption of ship central cooling systems, this paper first constructed and validated a high-precision multi-physical domain simulation model of the ship central cooling system based on fluid heat transfer principles and the physical network method. Then, simulation experiments were designed using the Box–Behnken design (BBD) method to study the effects of five key parameters—main engine power, seawater temperature, seawater pump speed, low-temperature fresh water three-way valve opening, and low-temperature fresh water flow rate—on system energy consumption. Based on the simulation data, an energy consumption prediction model was constructed using response surface methodology (RSM). This prediction model exhibited excellent goodness of fit and prediction ability (coefficient of determination R2 = 0.9688, adjusted R2adj = 0.9438, predicted R2pred = 0.8752), with a maximum relative error of only 1.2% compared to the simulation data, confirming its high accuracy. Sensitivity analysis based on this prediction model indicated that main engine power, seawater pump speed, seawater temperature, and three-way valve opening were the dominant single factors affecting energy consumption. Further analysis revealed a significant interaction between main engine power and seawater pump speed. This interaction resulted in non-linear changes in system energy consumption, which were particularly prominent under operating conditions such as high power. This study provides an accurate prediction model and theoretical guidance on the influence patterns of key parameters for the simulation-driven design, operational optimization, and energy saving of ship central cooling systems. Full article
(This article belongs to the Special Issue Nonlinear Dynamics in Mechanical Engineering and Thermal Engineering)
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28 pages, 1577 KiB  
Article
Study on Nonlinear Vibration of Carbon Nanotube-Reinforced Composite Beam Using Nonlocal Beam Theory in a Complex Environment
by Bogdan Marinca, Nicolae Herisanu and Vasile Marinca
Appl. Sci. 2025, 15(12), 6494; https://doi.org/10.3390/app15126494 - 9 Jun 2025
Viewed by 230
Abstract
The present research analyzed the nonlinear vibration of a CNTRC embedded in a nonlinear Winkler–Pasternak foundation in the presence of an electromagnetic actuator and mechanical impact. A higher-order shear deformation beam theory was applied to various models, as well as Euler–Bernoulli, Timoshenko, Reddy, [...] Read more.
The present research analyzed the nonlinear vibration of a CNTRC embedded in a nonlinear Winkler–Pasternak foundation in the presence of an electromagnetic actuator and mechanical impact. A higher-order shear deformation beam theory was applied to various models, as well as Euler–Bernoulli, Timoshenko, Reddy, and other beams, using a unified NSGT. The governing equations were obtained based on the extended shear and normal strain component of the von Karman theory and a Hamilton principle. The system was discretized by means of the Galerkin–Bubnov procedure, and the OAFM was applied to solve a complex nonlinear problem. The buckling and bending problems were studied analytically by using the HPM, the Galerkin method in combination with the weighted residual method, and finally, by the optimization of results for a simply supported composite beam. These results were validated by comparing our results for the linear problem with those available in literature, and a good agreement was proved. The influence of some parameters was examined. The results obtained for the extended models of the Euler–Bernoulli and Timoshenko beams were almost the same for the linear cases, but the results of the nonlinear cases were substantially different in comparison with the results obtained for the linear cases. Full article
(This article belongs to the Special Issue Nonlinear Dynamics in Mechanical Engineering and Thermal Engineering)
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16 pages, 4431 KiB  
Article
Analysis of Strength Effects on the Dynamic Response of a Shaped-Charge Under Lateral Disturbances
by Xuepeng Zhang, Can Xu, Jianya Yi, Xudong Li and Jianping Yin
Appl. Sci. 2025, 15(11), 6313; https://doi.org/10.3390/app15116313 - 4 Jun 2025
Viewed by 299
Abstract
To study the variation law of the penetration power of energy-concentrated jets on target plates with different yield strengths under lateral disturbance, a finite element model of the dynamic penetration of energy-concentrated jets was established. Targets with different yield strengths (355 MPa–1275 MPa) [...] Read more.
To study the variation law of the penetration power of energy-concentrated jets on target plates with different yield strengths under lateral disturbance, a finite element model of the dynamic penetration of energy-concentrated jets was established. Targets with different yield strengths (355 MPa–1275 MPa) were analyzed under conditions from low speed (100 m/s) to high speed (400 m/s). The dynamic penetration morphology of the jet, the dynamic failure mode of the target plate and the dynamic penetration depth of the jet were analyzed. The influence law of the target plate strength on the dynamic penetration of the jet was analyzed by introducing the offset angle as a parameter and combining it with the dynamic penetration depth of the jet. Based on dimensional analysis, a prediction model for the dynamic penetration performance of the jet that considered both the lateral disturbance velocity and the strength of the target plate was obtained. A test of the dynamic penetration of the jet based on the rocket trolley was designed and carried out. Experiments were conducted to determine the dynamic penetration of the jet through target plates with different yield strengths under different lateral disturbance velocities, and the corresponding data were obtained. The reliability of the numerical simulation and of the prediction models was verified. The research results show that the jet offset angle under different yield strengths increases with the increase of the lateral disturbance velocity. When the lateral disturbance velocity is held constant, the size of the offset angle is negatively correlated with the yield strength of the target plate. The results of the prediction model, numerical simulation and dynamic penetration test were compared and verified. It was found that the three showed good consistency and that the prediction model could estimate the dynamic penetration depth of the jet with respect to the strength of the target plate. Full article
(This article belongs to the Special Issue Nonlinear Dynamics in Mechanical Engineering and Thermal Engineering)
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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 319
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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