Special Issue "Computational Methods in Vibration Problems and Wave Mechanics - 2nd Edition"

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

Deadline for manuscript submissions: closed (30 June 2021) | Viewed by 1087

Special Issue Editor

Prof. Dr. Tomasz Figlus
E-Mail Website1 Website2
Guest Editor
Faculty of Transport and Aviation Engineering, Silesian University of Technology, 8 Krasinskiego Street, 40-019 Katowice, Poland
Interests: signal processing; condition monitoring; vibration; noise; transport means
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Special Issue Information

Dear Colleagues,

The development of computational methods makes it possible to conduct advanced analyses related to the generation and transmission of vibration, and the use of vibration in the assessment of technical condition. The search for sources of vibration and analysis of its transmission requires the application of various computational methods, including both computer simulations and multi-sensor test bench measurements. Vibration signals are also a valuable source of information on the technical condition. Early detection of faults increases reliability and prevents unforeseen failures. The developed calculation methods facilitate quickly finding symptoms of wear and damage of components, and enable the determination of measures of changes in the technical condition.

For this Special Issue, I invite the submission of original papers and reviews of scientific papers presenting innovative solutions in the field of computational methods dedicated to the generation and transmission of vibrations, as well as the application of vibration in the assessment of technical conditions. I encourage you to present new computational methods encompassing simulation tests and the analysis of signals recorded during bench tests. This Special Issue is dedicated to the presentation of calculation methods using advanced signal processing in the time and frequency domains, and the use of artificial intelligence methods in the research. Should you have any queries, please contact me by e-mail.

Prof. Dr. Tomasz Figlus
Guest Editor

Manuscript Submission Information

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Keywords

  • Computational methods
  • Vibration
  • Signal processing
  • Condition monitoring

Published Papers (1 paper)

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Research

Article
Discontinuity Capture in One-Dimensional Space Using the Numerical Manifold Method with High-Order Legendre Polynomials
Appl. Sci. 2020, 10(24), 9123; https://doi.org/10.3390/app10249123 - 21 Dec 2020
Viewed by 688
Abstract
Traditional methods such as the finite difference method, the finite element method, and the finite volume method are all based on continuous interpolation. In general, if discontinuity occurred, the calculation result would show low accuracy and poor stability. In this paper, the numerical [...] Read more.
Traditional methods such as the finite difference method, the finite element method, and the finite volume method are all based on continuous interpolation. In general, if discontinuity occurred, the calculation result would show low accuracy and poor stability. In this paper, the numerical manifold method is used to capture numerical discontinuities, in a one-dimensional space. It is verified that the high-degree Legendre polynomials can be selected as the local approximation without leading to linear dependency, a notorious “nail” issue in Numerical Manifold Method. A series of numerical tests are carried out to evaluate the performance of the proposed method, suggesting that the accuracy by the numerical manifold method is higher than that by the later finite difference method and finite volume method using the same number of unknowns. Full article
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