Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
4.5
2.7
Journals
Applied Sciences
Special Issues
Application of Non-linear Dynamics Ⅱ
share announcement

Application of Non-linear Dynamics Ⅱ

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

Deadline for manuscript submissions: closed (25 May 2023) | Viewed by 4553

Special Issue Editors

Dr. Roman Starosta

E-Mail Website
Guest Editor
Institute of Applied Mechanics, Poznan University of Technology, Poznan, Poland
Interests: analytical mechanics; non-linear dynamics; asymptotic methods
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Jan Awrejcewicz

E-Mail Website
Guest Editor
Faculty of Mechanical Engineering, Lodz University of Technology, 90-924 Łódź, Poland
Interests: nonlinear dynamics; non-linear mechanics; control; biomechanics; mechatronics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Non-linear dynamics was originally developed as a new area of research in applied physics and mathematics. Now, it is known that most physical processes and phenomena are non-linear. Although many problems are taken to be roughly linear and that approach yields satisfactory results, there are some practical problems where non-linear effects need to be considered. Some observable phenomena, such as chaos, synchronization, multistability, and jumps or hysteresis in resonance, can only be captured in a non-linear model. Sometimes, the non-linear behavior of a system is desirable and could provide advantages, such as an increase in efficiency, stability, or control.

This Special Issue will focus on contemporary applications, innovative theories, and challenges related to non-linear dynamics in various branches of science and technology.

We invite scientists and engineers who contribute to the development of non-linear dynamics to submit their work for publication in this Special Issue of the MDPI journal Applied Sciences.

Dr. Roman Starosta
Prof. Dr. Jan Awrejcewicz
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

  • non-linear dynamics in structural, mechanical, aeronautical, ocean, and electrical engineering
  • non-linear effects in physical systems (chaos, synchronization, bifurcation, quasi-periodicity, etc.)
  • analytical, computational, and experimental techniques applied to non-linear dynamics
  • non-linear models of control, identification, energy harvesting, friction, and damping systems
  • non-linear vibrations in vibro-impact, self-induced, parametric, or non-ideal systems

Published Papers (3 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Editorial

Jump to: Research

4 pages, 193 KiB  
Editorial
Special Issue “Application of Non-Linear Dynamics”
by Roman Starosta and Jan Awrejcewicz
Appl. Sci. 2022, 12(21), 11006; https://0-doi-org.brum.beds.ac.uk/10.3390/app122111006 - 30 Oct 2022
Viewed by 1041
Abstract
Nonlinear phenomena occur in engineering structures, biological systems, social processes, and in economics [...] Full article
(This article belongs to the Special Issue Application of Non-linear Dynamics Ⅱ)

Research

Jump to: Editorial

21 pages, 3184 KiB  
Article
A New Approach to Nonlinear State Observation for Affine Control Dynamical Systems
by Ahmad Taher Azar, Drai Ahmed Smait, Sami Muhsen, Moayad Abdullah Jassim, Asaad Abdul Malik Madhloom AL-Salih, Ibrahim A. Hameed, Anwar Ja’afar Mohamad Jawad, Wameedh Riyadh Abdul-Adheem, Vincent Cocquempot, Mouayad A. Sahib, Nashwa Ahmad Kamal and Ibraheem Kasim Ibraheem
Appl. Sci. 2023, 13(5), 3300; https://0-doi-org.brum.beds.ac.uk/10.3390/app13053300 - 04 Mar 2023
Cited by 2 | Viewed by 1569
Abstract
In this work, a Nonlinear Higher Order Extended State Observer (NHOESO) is presented to replace the Linear Extended State Observer (LESO) used in Conventional Active Disturbance Rejection Control (C-ADRC) solutions. In the NHOESO, the standard LESO is completed with a two-term smooth nonlinear [...] Read more.
In this work, a Nonlinear Higher Order Extended State Observer (NHOESO) is presented to replace the Linear Extended State Observer (LESO) used in Conventional Active Disturbance Rejection Control (C-ADRC) solutions. In the NHOESO, the standard LESO is completed with a two-term smooth nonlinear function with saturation-like characteristics. The proposed novel NHOESO enables precise observation of the generalized disturbances with higher-order derivatives. The stability of the NHOESO is examined with the aid of the Lyapunov method. A simulation of an uncertain nonlinear Single-Input–Single-Output (SISO) system with time-varying external disturbances confirms that the proposed NHOESO copes well with the generalized disturbance, which is not true for other ESOs. Full article
(This article belongs to the Special Issue Application of Non-linear Dynamics Ⅱ)
►▼ Show Figures

Figure 1

28 pages, 17006 KiB  
Article
Nonlinear Aeroelastic Characteristics of a Supersonic All-Movable Fin with Single or Multiple Freeplay Nonlinearities
by Liuyue Bai, Zhigang Wu and Chao Yang
Appl. Sci. 2023, 13(3), 1262; https://0-doi-org.brum.beds.ac.uk/10.3390/app13031262 - 17 Jan 2023
Cited by 1 | Viewed by 1065
Abstract
Establishing the aeroelastic characteristic of all-movable fins with freeplay nonlinearities is one of the most common problems in the design of supersonic flight vehicles. In this context, this study provided novel points of view on the nonlinear aeroelastic characteristics of an all-movable fin [...] Read more.
Establishing the aeroelastic characteristic of all-movable fins with freeplay nonlinearities is one of the most common problems in the design of supersonic flight vehicles. In this context, this study provided novel points of view on the nonlinear aeroelastic characteristics of an all-movable fin with freeplay nonlinearities in its root. The unsteady aerodynamic model that was employed uses the second-order piston theory considering thickness effects. For a system with multiple freeplay nonlinearities, a discrete scanning method based on the describing function method was established to solve the limit-cycle oscillations (LCOs) and avoid the loss of solutions. Combining this with the time-domain integration method, the influences of the support stiffness at the root of the fin and the freeplay size ratio of the bending and torsional degrees of freedom on the dynamical response of the system were analyzed. The results demonstrate that systems with a single freeplay nonlinearity exhibit two completely different types of LCO, while systems with multiple freeplay nonlinearities exhibit complex dynamical behaviors such as LCO and quasi-periodic and chaotic motions. The path of a quasi-periodic torus breaking into chaos was observed. Furthermore, a harmonic initial condition for the time-domain integration is proposed; this can be used for a quick check of the frequency-domain calculation results. Full article
(This article belongs to the Special Issue Application of Non-linear Dynamics Ⅱ)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-3
Back to TopTop