Nonlinear Mechanical Vibration in Machine Design

A special issue of Machines (ISSN 2075-1702). This special issue belongs to the section "Machine Design and Theory".

Deadline for manuscript submissions: closed (30 October 2024) | Viewed by 2736

Special Issue Editor


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Guest Editor
Department of Mechanical and Construction Engineering, Northumbria University, Newcastle upon Tyne NE1 8ST, UK
Interests: theoretical and experimental structural dynamics; vibration analysis; FE model updating
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Special Issue Information

Dear Colleagues,

Vibration is inevitable in every machine, mechanical system, and structure due to the application of various excitation forces. The modeling, analysis, and identification of mechanical systems and structures are important in predicting their vibration and structural dynamics, as well as for fault diagnostics and damage detection. Furthermore, having an accurate model is crucial for optimizing the performance and controlling the behavior of systems and structures.

In this context, the role of experimental verification becomes paramount. While theoretical approaches provide valuable insights, experimental validation enhances the robustness and applicability of the findings. Experimental verification not only validates the theoretical models but also provides real-world data crucial for a comprehensive understanding of nonlinear mechanical vibration in structural dynamics.

The integration of experimental and theoretical approaches in vibration analysis allows for a more holistic exploration of the dynamic behavior of systems. Researchers are encouraged to submit work that not only advances theoretical frameworks but also incorporates experimental validation to strengthen the reliability and practical applicability of the proposed methodologies.

This Special Issue focuses on publishing breakthrough research in the following areas:

  • Linear and nonlinear vibration analysis;
  • Experimental and theoretical approaches in vibration analysis;
  • Model identification, validation, and verification;
  • Finite element model updating in structural dynamics.

We look forward to receiving your submissions and encourage contributions that leverage experimental verification to enhance the depth and significance of the research presented.

Dr. Hassan Jalali
Guest Editor

Manuscript Submission Information

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Keywords

  • vibration analysis
  • structural dynamics
  • mechanical system
  • linear and nonlinear systems

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Published Papers (2 papers)

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Research

25 pages, 14946 KiB  
Article
The Application of Recurrence Plots to Identify Nonlinear Responses Using Magnetometer Data for Wind Turbine Design
by Juan Carlos Jauregui-Correa and Luis Morales-Velazquez
Machines 2025, 13(3), 233; https://doi.org/10.3390/machines13030233 - 13 Mar 2025
Viewed by 1311
Abstract
This work uses recurrence plots (RPs) to identify nonlinearities and non-stationary conditions in wind turbines. Traditionally, recurrence plots have been applied to vibration or acoustic data; this paper applies them to magnetometer and accelerometer data to compare the sensitivity. The recurrence plots are [...] Read more.
This work uses recurrence plots (RPs) to identify nonlinearities and non-stationary conditions in wind turbines. Traditionally, recurrence plots have been applied to vibration or acoustic data; this paper applies them to magnetometer and accelerometer data to compare the sensitivity. The recurrence plots are generated by plotting points in the phase space and identifying those points where the dynamic system returns to a similar configuration, meaning that the state variables are similar to previous conditions. The state variables for the acceleration data are the position and velocity, whereas, for the magnetometer data, they are the magnitude of the magnetic field and its integral. The time series are integrated by combining the shifting principle of harmonic functions and the empirical mode decomposition. The EMD method separates the original signal into several modes, shifts them, and combines them back. The time series were obtained from an accelerometer and a magnetometer mounted in a wind turbine. The results showed that the RP presents different patterns depending on the signal; magnetometer signals identify low-frequency components, such as magnetic field anomalies, and accelerometer signals identify high-frequency components, such as bearings and gears. Full article
(This article belongs to the Special Issue Nonlinear Mechanical Vibration in Machine Design)
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15 pages, 1924 KiB  
Article
Parameter Identification of Flexible Link Manipulators Using Evolutionary Algorithms
by Fabian Andres Lara-Molina
Machines 2024, 12(6), 409; https://doi.org/10.3390/machines12060409 - 14 Jun 2024
Viewed by 1267
Abstract
This paper addresses the parameter identification of a one-link flexible manipulator based on the experimental measurement of the inputs/outputs, the finite element model, and the application of evolutionary algorithms. A novel approach is proposed to find the values of inertia, stiffness, and damping [...] Read more.
This paper addresses the parameter identification of a one-link flexible manipulator based on the experimental measurement of the inputs/outputs, the finite element model, and the application of evolutionary algorithms. A novel approach is proposed to find the values of inertia, stiffness, and damping parameters by minimizing the difference between the numerical model’s outputs and the testbed’s outputs, thus considering the joint position and acceleration of the link’s tip. The dynamic model is initially obtained using the finite element method and the Lagrange principle. A prototype of a single one-link flexible manipulator is used in the experimental application, wherein the servomotor applies the input torque, and the outputs are the joint angle and the link’s tip acceleration. Then, an optimization problem minimizes the difference between the numerical and experimental outputs to determine the set of parameters using evolutionary algorithms. A comparative analysis to obtain the identified parameters is established using genetic algorithms, particle swarm optimization, and differential evolution. The proposed identification approach permitted the determination of the dynamic parameters based on the complete dynamic model of the flexible-link manipulator, which is different from the approaches reported in the literature that identify a simplified model. This information is essential for the design of the motion and vibration control laws. Full article
(This article belongs to the Special Issue Nonlinear Mechanical Vibration in Machine Design)
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