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Vibration
Special Issues
Nonlinear Vibration of Mechanical Systems
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Nonlinear Vibration of Mechanical Systems

A special issue of Vibration (ISSN 2571-631X).

Deadline for manuscript submissions: closed (30 September 2024) | Viewed by 6532

Special Issue Editors

Prof. Dr. Francesco Pellicano

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Guest Editor
Department of Engineering Enzo Ferrari, University of Modena and Reggio Emilia, 41125 Modena, Italy
Interests: nonlinear dynamics; vibrations; stability; shells; mechanical transmissions; gears; fluid structure interaction
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Yuri Mikhlin

E-Mail Website
Guest Editor
Applied Mathematics Department, National Technical University “Kharkiv Polytechnic Institute”, 61000 Kharkiv, Ukraine
Interests: nonlinear vibrations; asymptotic methods in applied mathematics; nonlinear oscillations and stability of motion; ordinary differential equations; application of the group theory in ODE; differential geometry; complex variable functions; variational calculus; mathematical modeling and other courses
Prof. Dr. Konstantin V. Avramov

E-Mail Website
Guest Editor
Anatolii Pidhornyi Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, 02000 Kharkiv, Ukraine
Interests: methods of calculation and study of stress-strain state, including in the presence of defects of various origins; scientifically substantiated methods of assessment of technical condition and residual life of structures of long operation; mechanics of interaction of deformed solids, liquids and gases; dynamics of spacecraft launch vehicles; dynamics of vibration protection systems of rocket and space technology objects and ground vehicles
Dr. Antonio Zippo

E-Mail Website
Guest Editor
Department of Engineering Enzo Ferrari, University of Modena and Reggio Emilia, 41125 Modena, Italy
Interests: nonlinear dynamics; vibration control; electric powertrain and transmissions; fluid structure interaction; shells and meta-structures; biomechanics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We are delighted to invite you to contribute to a Special Issue entitled "Nonlinear Vibration of Mechanical Systems" in Vibration.

Research on the modelling of mechanical systems has been crucial in various engineering fields. Despite extensive studies in this area, emerging applications and new materials present new challenges. This Special Issue aims to unite cutting-edge research and innovative perspectives on the complex dynamics and behaviours exhibited by mechanical systems under nonlinear vibrations. These systems often showcase intricate and nonlinear dynamics, leading to a rich spectrum of vibrational phenomena.

The Special Issue covers a wide range of topics, including, but not limited to, nonlinear modal interactions, chaos and bifurcation in mechanical systems, the nonlinear dynamics of coupled structures, nonlinearities in control systems, experimental investigations of nonlinear vibrations, and the application of nonlinear dynamics in engineering design.

This platform offers a unique opportunity to share advancements, methodologies, and insights in various fields of nonlinear vibration, thus addressing an extensive spectrum of themes that include, but are not limited to, the following:

  1. Nonlinear Dynamics in Innovative Material Systems:
    • Exploration of nonlinear vibrations in metamaterials and structures.
    • Investigation of the influence of material nonlinearity on mechanical system dynamics.
  2. Data-Driven Approaches:
    • Utilization of machine learning and data-driven techniques for analysing and predicting nonlinear vibrations.
    • Integration of artificial intelligence for system identification and control in nonlinear systems.
  3. Nonlinear Dynamics in Nano and Microscale Systems:
    • Investigation of nonlinear vibration phenomena in nanomechanical and microelectromechanical systems (NEMS/MEMS).
    • Exploration of the impact of nonlinearities at the small scale on overall system behaviour.
  4. Nonlinear Control Strategies:
    • Development of advanced control strategies to mitigate and exploit nonlinearities in mechanical systems.
    • Application of chaos control and synchronization techniques.
  5. Experimental Validation and Advanced Measurement Techniques:
    • Advances in experimental techniques for capturing and analysing nonlinear vibrations.
    • Integration of novel sensors and measurement methods to study complex nonlinear behaviours.
  6. Coupled and Complex Systems:
    • Study of the nonlinear dynamics of interconnected and coupled mechanical systems.
    • Investigation of the effects of coupling on synchronization, bifurcations, and chaos.
  7. Energy Harvesting from Nonlinear Vibrations:
    • Development of energy-harvesting systems that capitalize on nonlinear vibrations.
    • Exploration of the efficiency of harvesting energy from chaotic and nonlinear regimes.
  8. Nonlinear Vibrations in Biomechanics:
    • Application of nonlinear dynamics to study the complexities of biological systems.
    • Investigation of the nonlinear vibrations in tissues, bones, and biomimetic structures.

Papers can include conceptual designs, theoretical development, and practical implementations. Both theoretical papers and experimental reports are welcome.

Prof. Dr. Francesco Pellicano
Prof. Dr. Yuri Mikhlin
Prof. Dr. Konstantin V. Avramov
Dr. Antonio Zippo
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. Vibration is an international peer-reviewed open access quarterly 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 1600 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
  • mechanical vibrations
  • chaotic behavior
  • coupled systems
  • nonlinear control

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  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
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Further information on MDPI's Special Issue polices can be found here.

Published Papers (5 papers)

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Research

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12 pages, 3486 KiB  
Article
Unidirectional Flow Through Time-Dependent Cross-Sectional Areas of a Compliant Tube and a Valve: A Nonlinear Model
by Christos Manopoulos, Sokrates Tsangaris, Christina Georgantopoulou and Dimitrios Mathioulakis
Vibration 2024, 7(4), 987-998; https://doi.org/10.3390/vibration7040052 - 29 Oct 2024
Viewed by 374
Abstract
This work investigates the conditions for net flow generation by a straight tube with a cross-sectional area harmonically varying in time that connects two tanks—a problem that is mainly found in the design of impedance pumps. By assuming a quasi-one-dimensional flow and applying [...] Read more.
This work investigates the conditions for net flow generation by a straight tube with a cross-sectional area harmonically varying in time that connects two tanks—a problem that is mainly found in the design of impedance pumps. By assuming a quasi-one-dimensional flow and applying continuity and momentum equations, a first-order differential equation with respect to the flow rate is derived and presented for the first time, including a nonlinear term that is responsible for net flow rate generation. Namely, the net flow rate is found to be nonzero (as is the nonlinear term) if the cross-sectional areas of the two tanks are unequal and one of them is smaller than that of the straight tube. In this case, the flow is directed from the smaller to the larger tank and the net flow rate increases with the frequency of the tube’s cross-sectional area variation. In contrast, when the tanks’ cross-sections are equal, the net flow is generated only if a valve is installed, e.g., at one end of the tube, due to the large asymmetries imposed in the hydraulic losses with respect to the tube mid-length. Compared with constant valve opening, the net flow rate is augmented significantly if the valve opening is time-dependent. By employing the same equation, the flow rate of an intra-aortic counter-pulsating balloon pump is also examined, in which the valve (representing the aortic valve) opens during the shrinkage of the tube, and it is shown that the net flow rate increases with the frequency and amplitude of the tube’s cross-sectional area. Conclusively, the harmonic oscillation in time of a tube’s wall can cause unidirectional flow only if asymmetric losses are present with respect to its mid-length. Full article
(This article belongs to the Special Issue Nonlinear Vibration of Mechanical Systems)
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15 pages, 8273 KiB  
Article
Tunable High-Static-Low-Dynamic Stiffness Isolator under Harmonic and Seismic Loads
by Giovanni Iarriccio, Antonio Zippo, Fatemeh Eskandary-Malayery, Sinniah Ilanko, Yusuke Mochida, Brian Mace and Francesco Pellicano
Vibration 2024, 7(3), 829-843; https://doi.org/10.3390/vibration7030044 - 25 Aug 2024
Viewed by 891
Abstract
High-Static-Low-Dynamic Stiffness (HSLDS) mechanisms exploit nonlinear kinematics to improve the effectiveness of isolators, preserving controlled static deflections while maintaining low natural frequencies. Although extensively studied under harmonic base excitation, there are still few applications considering real seismic signals and little experimental evidence of [...] Read more.
High-Static-Low-Dynamic Stiffness (HSLDS) mechanisms exploit nonlinear kinematics to improve the effectiveness of isolators, preserving controlled static deflections while maintaining low natural frequencies. Although extensively studied under harmonic base excitation, there are still few applications considering real seismic signals and little experimental evidence of real-world performance. This study experimentally demonstrates the beneficial effects of HSLDS isolators over linear ones in reducing the vibrations transmitted to the suspended mass under near-fault earthquakes. A tripod mechanism isolator is presented, and a lumped parameter model is formulated considering a piecewise nonlinear–linear stiffness, with dissipation taken into account through viscous and dry friction forces. Experimental shake table tests are conducted considering harmonic base motion to evaluate the isolator transmissibility in the vertical direction. Excellent agreement is observed when comparing the model to the experimental measurements. Finally, the behavior of the isolator is investigated under earthquake inputs, and results are presented using vertical acceleration time histories and spectra, demonstrating the vibration reduction provided by the nonlinear isolator. Full article
(This article belongs to the Special Issue Nonlinear Vibration of Mechanical Systems)
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27 pages, 12706 KiB  
Article
A Method for Applying the Use of a Smart 4 Controller for the Assessment of Drill String Bottom-Part Vibrations and Shock Loads
by Serhii Landar, Andrii Velychkovych, Liubomyr Ropyak and Andriy Andrusyak
Vibration 2024, 7(3), 802-828; https://doi.org/10.3390/vibration7030043 - 9 Aug 2024
Viewed by 1145
Abstract
Optimization of drilling processes for oil and gas and geothermal wells requires the effective use of mechanical energy for the destruction of rocks. When constructing a well, an important indicator of the drilling stage is the mechanical speed. Therefore, when performing drilling operations, [...] Read more.
Optimization of drilling processes for oil and gas and geothermal wells requires the effective use of mechanical energy for the destruction of rocks. When constructing a well, an important indicator of the drilling stage is the mechanical speed. Therefore, when performing drilling operations, operators usually use blade bits of an aggressive design and often use forced drilling modes. Drill bits under forced operation modes generate a wide range of vibrations in the drilling tools; in turn, a drill string, being a long-dimensional deformable body, causes the development, amplification, and interconnection of vibrations of different types. Vibration loads reduce the technical and economic indicators of drilling, with destructive effects on drill string elements, and cause complications and emergencies. The authors initiated the creation of an informational and analytical database on emergency situations that occurred as a result of excessive vibrations of the drill string during the construction of deep wells in the deposits of the Dnipro–Donetsk Basin. For the first time, the suitability and effectiveness of using the Smart 4 controller (“Innova Power Solutions”, Calgary, Canada) for monitoring the vibration load of the drilling tool was tested in industrial conditions, while the controller was used as a separate element in the drill string. A special module was developed for the reliable installation of the Smart 4 controller, with a power battery in the layout of the lower part of the drill string. During the testing of the proposed device for measuring vibrations in the process of drilling an inclined well, verification of the registered data was carried out with the help of a high-cost telemetry system. The implementation of the proposed innovation will allow each operator to assess the significance of the impact of vibrations and shocks on the production process and, if necessary, adjust the drilling modes or apply vibration protection devices. In addition, service departments that operate and repair drilling equipment will be able to obtain an evidence base for resolving warranty disputes or claims. Full article
(This article belongs to the Special Issue Nonlinear Vibration of Mechanical Systems)
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18 pages, 3141 KiB  
Article
The Reduced-Order Modeling Approach for a Double-Damper Concept: A Comparison with a Single Damper for Comfort Analysis
by Behzad Hamedi, Sudarshan Shrikanthan and Saied Taheri
Vibration 2024, 7(3), 644-661; https://doi.org/10.3390/vibration7030034 - 1 Jul 2024
Cited by 1 | Viewed by 810
Abstract
This paper explores the modeling and simulation of an innovative double-damper suspension system, evaluating its effectiveness through different test scenarios. The double damper integrates two individual dampers into a unified assembly. The modeling process involves representing the damper as two distinct dampers and [...] Read more.
This paper explores the modeling and simulation of an innovative double-damper suspension system, evaluating its effectiveness through different test scenarios. The double damper integrates two individual dampers into a unified assembly. The modeling process involves representing the damper as two distinct dampers and a body block, accounting for the additional degree of freedom introduced by combining the two dampers. Simulink/MATLAB is employed for modeling the pressure, discharge, and force equations of the damper. A simplified quarter-car model is designed to conduct simulations for different road profiles, evaluating the efficacy of this double-damper model. The reduced-order modeling approach, suitable for complex systems like dampers, is utilized. Dedicated mathematical models are utilized to examine both single- and double-damper configurations, with the resulting non-linear equations solved using Newton’s iterative method. The equations derived for the single damper provide the basis for modeling the double-damper system. In this model, two separate dampers, each possessing similar properties, are simulated and considered to be rigidly linked at their connection point. Consequently, it is assumed that a portion of the force and velocity experienced by the lower damper is transmitted to the upper damper, and vice versa. Simulation results demonstrate that the innovative double-damper design outperforms a single passive damper in attenuating the oscillations of both the sprung and unsprung masses. Moreover, this innovative concept offers increased adaptability to balance between ride comfort and road holding, a feature previously limited to passive suspension systems. Full article
(This article belongs to the Special Issue Nonlinear Vibration of Mechanical Systems)
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Review

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45 pages, 16584 KiB  
Review
Experimental Linear and Nonlinear Vibration Methods for the Structural Health Monitoring (SHM) of Polymer-Matrix Composites (PMCs): A Literature Review
by Loan Dolbachian, Walid Harizi and Zoheir Aboura
Vibration 2024, 7(1), 281-325; https://doi.org/10.3390/vibration7010015 - 12 Mar 2024
Cited by 2 | Viewed by 2538
Abstract
The goal of this article is to provide a review of the experimental techniques and procedures using vibration methods for the Structural Health Monitoring (SHM) of Polymer-Matrix Composites (PMCs). It aims to be a guide for any researchers to carry out vibration experiments. [...] Read more.
The goal of this article is to provide a review of the experimental techniques and procedures using vibration methods for the Structural Health Monitoring (SHM) of Polymer-Matrix Composites (PMCs). It aims to be a guide for any researchers to carry out vibration experiments. The linear methods are first introduced. But, as PMC is a complex material, these classic methods show some limits, such as low accuracy for small damages and a high environmental dependency. This is why the nonlinear methods are secondly studied, considering that the complexity of PMCs induces a nonlinear behavior of the structure after damage occurrence. The different damage mechanisms are well-explained in order to evaluate the potential of each vibration method to detect them. Full article
(This article belongs to the Special Issue Nonlinear Vibration of Mechanical Systems)
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