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Nonlinear Dynamics: Analysis, Optimization and Application

A Special Issue of Applied Sciences (ISSN 2076-3417) belonging to the section "Mechanical Engineering".

Deadline for manuscript submissions: 20 February 2027 | Viewed by 778

Editors


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Guest Editor
Institute of Applied Mechanics, Faculty of Mechanical Engineering, Poznan University of Technology, 60-965 Poznań, Poland
Interests: analytical mechanics; non-linear dynamics; asymptotic methods
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Institute of Applied Mechanics, Faculty of Mechanical Engineering, Poznan University of Technology, 60-965 Poznań, Poland
Interests: classical mechanics; strength of materials; vibrations; nonlinear dynamics and chaos; mathematical modelling and computer simulations; numerical methods; algorithms and programming
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Nonlinear dynamics has emerged as a distinct field within applied physics and mathematics, and it has since become clear that most real-world physical processes are inherently nonlinear. While many systems can be approximated as linear with acceptable accuracy, numerous practical problems demand explicit consideration of nonlinear effects. Phenomena such as chaos, synchronization, multistability, hysteresis, or sudden jumps in resonance are intrinsic to nonlinear behavior and cannot be adequately described using linear models alone. In many cases, nonlinear responses are not merely unavoidable but advantageous, offering possibilities for enhanced efficiency, improved stability, or more effective control strategies.

This Special Issue highlights recent advancements, modern methodologies, and emerging challenges associated with nonlinear dynamics across diverse scientific and engineering disciplines. Its goal is to provide a platform for disseminating innovative theoretical developments as well as applications that illustrate the crucial role of nonlinear behavior in contemporary technology.

We warmly encourage researchers and practitioners engaged in the study or application of nonlinear dynamical systems to contribute their latest findings to this Special Issue of the MDPI journal Applied Sciences. This Special Issue will publish high-quality original research articles on the following and related topics:

  • Nonlinear dynamics in structural, mechanical, aeronautical, ocean, and electrical engineering.
  • Nonlinear phenomena such as chaos, synchronization, bifurcations, and quasi-periodicity.
  • Analytical, numerical, and experimental methods for studying nonlinear systems.
  • Nonlinear modeling in control, system identification, energy harvesting, friction, and damping.
  • Nonlinear vibrations in vibro-impact, self-excited, parametric, and non-ideal systems.
  • Advanced techniques for analyzing stability, resonance, and multistability.
  • Applications demonstrating the role of nonlinear effects in improving performance or control.
  • Studies integrating theory, computation, and experiments to address complex nonlinear behavior.

Dr. Roman Starosta
Dr. Paweł Fritzkowski
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. 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
  • nonlinear phenomena
  • nonlinear modeling
  • nonlinear vibrations

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Published Papers (1 paper)

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Research

26 pages, 7418 KB  
Article
Influence of Terrain Parameters on Tire Forces and Moments Under Multi-Pass Loading
by Sadegh Yarmohammadisatri and Corina Sandu
Appl. Sci. 2026, 16(18), 9079; https://doi.org/10.3390/app16189079 - 13 Sep 2026
Viewed by 221
Abstract
The dynamic response of soft terrain under repeated vehicle passes significantly influences off-road vehicle mobility and performance. The primary innovation of this research is the integration of loading–unloading hysteresis, multi-pass terrain-state evolution, and sensitivity analyses within a unified HSSTM-based framework. Unlike conventional pressure–sinkage [...] Read more.
The dynamic response of soft terrain under repeated vehicle passes significantly influences off-road vehicle mobility and performance. The primary innovation of this research is the integration of loading–unloading hysteresis, multi-pass terrain-state evolution, and sensitivity analyses within a unified HSSTM-based framework. Unlike conventional pressure–sinkage models that employ constant terrain parameters and generally neglect terrain deformation, the proposed method identifies the dominant parameters directing sinkage, energy dissipation, rolling resistance, and spindle-level tire forces and moments. As a result, the framework provides a physically interpretable and computationally efficient approach for terrain-parameter prioritization and off-road tire-performance simulation under repeated loading. Two sensitivity analysis methods are employed including one-at-a-time (OAT) local sensitivity analysis which measures the influence of key terrain parameters on soil plastic sinkage, compaction rate, and final peak pressure. Moreover, the global sensitivity methods such as Factor Prioritization by Reduction of Variance (FoR) and Partial Rank Correlation Coefficient (PRCC) determine the dominant terrain variables affecting force and moment on tire spindle. The terrain model is based on the modified Bekker-Wong theory, simulating the loading-unloading behavior, elastic recovery, and plastic deformation. This model considers the rate-dependent terrain response under dynamic loading. A Pearson correlation-based model is developed to simulate rolling resistance using sensitivity-weighted coefficients. It is validated through both synthetic (parameter sweep) and realistic (terrain-operational) scenarios. Moreover, a logarithmic multi-pass influence is employed to simulate terrain behavior through repeated tire passes. The results indicate that parameters such as sinkage exponent n, unloading modulus Au, and friction modulus Kϕ demonstrate strong influence on both rolling resistance and dynamic response. The sinkage exponent n and unloading parameters primarily controlled multi-pass deformation and rolling resistance, whereas n, ϕ, and Cd were important for the spindle forces and moments. In particular, soil damping Cd was the dominant parameter for the vertical force Fz. Full article
(This article belongs to the Special Issue Nonlinear Dynamics: Analysis, Optimization and Application)
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