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Applied Sciences
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Advances in Nonlinear Vibration: Modeling, Data-Based Methods and Applications
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Advances in Nonlinear Vibration: Modeling, Data-Based Methods and Applications

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

Deadline for manuscript submissions: 20 September 2024 | Viewed by 2267

Special Issue Editors

Dr. Dario Anastasio

E-Mail Website
Guest Editor
Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Interests: mechanical vibrations; nonlinear dynamics; nonlinear structural dynamics; system identification
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Stefano Marchesiello

E-Mail Website
Guest Editor
Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Interests: linear and nonlinear system identification; nonlinear structural dynamics; moving loads
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Nonlinearity is known to play an important role in various fields of applied sciences. Structural nonlinearities, large-amplitude vibrations, limit cycles, instability, and friction are just some examples of nonlinear dynamical phenomena. The research community’s interest in improving our awareness of nonlinear vibration phenomena has gained increased importance in recent years, in combination with the incipient industrial need for efficient and lightweight designs, and the necessity of monitoring and characterizing pre-existent structures.

This Special Issue invites contributions on recent advances in nonlinear vibrations, focusing on modeling, data-based methods, and novel applications. Target topics include, but are not limited to, analytical and numerical methods, experimental nonlinear dynamics, signal processing, system identification and model updating, nonlinear phenomena in structures and structural health monitoring, nonlinear damping, dynamic interactions, nonlinear vibration control, and emerging topics in nonlinear vibrations. 

Dr. Dario Anastasio
Prof. Dr. Stefano Marchesiello
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
  • experimental nonlinear dynamics
  • nonlinear vibration
  • nonlinear modeling
  • data-based method
  • signal processing
  • nonlinear system identification

Published Papers (3 papers)

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Research

17 pages, 4768 KiB  
Article
Modal Derivatives for Efficient Vibration Prediction of Geometrically Nonlinear Structures with Friction Contact
by Fahimeh Mashayekhi and Stefano Zucca
Appl. Sci. 2024, 14(9), 3936; https://doi.org/10.3390/app14093936 - 5 May 2024
Viewed by 382
Abstract
This paper evaluates the performance of the Rubin reduction methods, enhanced with static modal derivatives, for vibration analysis of geometrically nonlinear structures with friction contact. Static modal derivatives are computed numerically based on Rubin reduction, which includes free interface normal modes and residual [...] Read more.
This paper evaluates the performance of the Rubin reduction methods, enhanced with static modal derivatives, for vibration analysis of geometrically nonlinear structures with friction contact. Static modal derivatives are computed numerically based on Rubin reduction, which includes free interface normal modes and residual flexibility attachment modes, by introducing a finite displacement around these modes. Then, the most relevant static modal derivatives are selected using an improved strategy that incorporates weighting factors derived from both a nonlinear static analysis and a geometrically linear transient run. This enhanced Rubin method is also compared with the previously used enhanced Craig–Bampton method, which is based on fixed normal modes, constraint modes, and their static derivatives. The effectiveness of these methods is demonstrated through vibration analysis of a geometrically nonlinear beam in different contact configurations. Both methods proved their robustness, achieving accurate results with a relatively small number of modes in the reduced space, thus ensuring low online computation times. Furthermore, the analyses show the significant impact of using a geometrically nonlinear model on the accurate prediction of a contact state. Full article
(This article belongs to the Special Issue Advances in Nonlinear Vibration: Modeling, Data-Based Methods and Applications)
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21 pages, 1241 KiB  
Article
Quantitative Analysis of the Complex Time Evolution of a Camphor Boat
by Tomasz Roliński, Hiroyuki Kitahata, Yuki Koyano and Jerzy Górecki
Appl. Sci. 2024, 14(3), 959; https://doi.org/10.3390/app14030959 - 23 Jan 2024
Viewed by 683
Abstract
The motion of a camphor boat on the water’s surface is a long-studied example of the direct transformation of chemical energy into a mechanical one. Recent experimental papers have reported a complex character of boat motion depending on the location of the camphor [...] Read more.
The motion of a camphor boat on the water’s surface is a long-studied example of the direct transformation of chemical energy into a mechanical one. Recent experimental papers have reported a complex character of boat motion depending on the location of the camphor source. If the source is close to the stern, the boat moves at a constant speed. When it is shifted towards the boat center, oscillations of speed are observed. When the source is close to the boat center, pulses of speed followed by oscillations appear. Here, we focus on numerical simulations of camphor boat motion. We discuss approximations that allow us to reduce the numerical complexity of the problem and formulate a model in which the equation for boat velocity is coupled with a one-dimensional reaction–diffusion equation for camphor surface concentration. We scanned the phase space of model parameters and found the values that give qualitative agreement with the experiments. The model predicts all types of boat motion (continuous, oscillating, and pulsating) observed in experiments. Moreover, the model with selected parameter values shows that for specific locations of the camphor source, a spike in speed is followed by transient oscillations, which are an inherent part of speed relaxation. Full article
(This article belongs to the Special Issue Advances in Nonlinear Vibration: Modeling, Data-Based Methods and Applications)
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13 pages, 1416 KiB  
Article
Reliability by Using Weibull Distribution Based on Vibration Fatigue Damage
by Jesús M. Barraza-Contreras, Manuel R. Piña-Monarrez and Roberto C. Torres-Villaseñor
Appl. Sci. 2023, 13(18), 10291; https://doi.org/10.3390/app131810291 - 14 Sep 2023
Cited by 2 | Viewed by 783
Abstract
In this paper, a Weibull probabilistic methodology is proposed with an approach to model vibration fatigue damage accumulation using two parameters: Weibull distribution and a nonlinear fatigue damage accumulation model. The damage is cumulated based on the application of a vibration stress profile [...] Read more.
In this paper, a Weibull probabilistic methodology is proposed with an approach to model vibration fatigue damage accumulation using two parameters: Weibull distribution and a nonlinear fatigue damage accumulation model. The damage is cumulated based on the application of a vibration stress profile and is used to determine both the Weibull β and η parameters, and the corresponding component reliability R(t). The vibration fatigue damage is analyzed to accumulate the damage as a stress function for a fatigue life exponent derived with the assistance of the acceleration’s force response. The steps to determine the Weibull β and η parameters are estimated based only on the principal vibration stresses σ1 and σ2 that allow the reproduction of the vibration fatigue damage. The method’s efficiency is based on the probabilistic approach by using the vibration fatigue damage as the Yi vector that covers the arithmetic mean as well as the β parameter. Finally, the procedure proposed is applied in a practical case where a mechanical component is used as a support for telecommunication connections and is submitted to vibration stress. The results show that using the damage accumulated as the Yi vector to estimate the parameters allows for the analysis of dynamic and individual applications. Full article
(This article belongs to the Special Issue Advances in Nonlinear Vibration: Modeling, Data-Based Methods and Applications)
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