A Brief Survey of the Graph Wavelet Frame by Jie Zhou, Zeze Zhang

“…In recent years, the research of wavelet frames on the graph has become a hot topic in harmonic analysis. In this paper, we mainly introduce the relevant knowledge of the wavelet frames on the graph, including relevant concepts, construction methods, and related theory. …”
Get full text

Analysis of Modal and Vibration Response of Gearbox of Urban Rail Train by Chen Zhongwei, 2Lu Ning, Yang Jianwei

“…The results show that the theoretical and the natural frequency and modal test results similar formation to verify the validity of the modal obtained by the finite element method,the modal analysis and the results should be displayed to adjust the gear mesh frequency to avoid resonance frequency by adjusting the number of teeth or motor frequency. The harmonic analysis results also show that the gearbox around 500 Hz has a more noticeable vibration response,and modal analysis shows the consistency of the results. …”
Get full text

An Analytical Study of the Diffraction of Light by a Circular Aperture Using Spherical Harmonics for n≤1 by Mahmoud Ahmad, Najah Kabalan, Samar Omran

“…We noticed that the expansion we made using spherical harmonic analysis led to an increase in the number of fringes bright enough to be visible to the naked eye. …”
Get full text

Low‐cost fabrication of polymer substrate‐based piezoelectric microgenerator with PPE, IDE and ME by S.S. Balpande, M.L. Bhaiyya, R.S. Pande

“…Zinc oxide and polymer have been used as piezoelectric material and substrate, respectively, for biocompatible device. The harmonic analysis was carried out using finite element method (FEM) tool to examine the effect of the electrodes on the output voltage. …”
Get full text

Numerical Investigation and Experimental Verification of Vibration Behavior for a Beam with Cantilever-Hertzian Contact Boundary Conditions by Yinnan Zhang, Chao Zhang, Yuan Meng, Wanbin Ren

“…Afterward, the harmonic response of the beam is numerically solved individually by using the transient analysis model and the harmonic analysis model in ANSYS Workbench 2021R1 software. …”
Get full text

Monitoring of Ionospheric Anomalies Using GNSS Observations to Detect Earthquake Precursors by Nicola Perfetti, Yuri Taddia, Alberto Pellegrinelli

“…We describe how to compute these parameters from GNSS data for a regional network using Adjusted Spherical Harmonic Analysis (ASHA) applied to a local model. The proposed method was tested to study ionospheric anomalies for two seismic events: the 2015 Nepal and 2023 Turkey earthquakes. …”
Get full text

Including the Temporal Dimension in the SECS Technique by S. Marsal, J. M. Torta, F. J. Pavón‐Carrasco, S. P. Blake, M. Piersanti

“…It has been successfully applied to numerous Space Weather (SW) events, whereas some advantages have been reported over other techniques such as Fourier or Spherical (Cap) Harmonic Analysis. Although different modalities of SECS exist (either 1‐D, 2‐D, or 3‐D) depending on the number of space dimensions involved, the method provides a sequence of instantaneous pictures of the source current. …”
Get full text

Unidirectional Alleviation of the Diffraction Limit in Geometrically Anisotropic Photonics by El Badri Youssef, Mangach Hicham, Belkacem Abdelhaq, Oubeniz Hammou, Bouzid Abdenbi, Achaoui Younes

“…We harness the full weight of modal and harmonic analysis based on the Finite Element Method to demonstrate that scaling the direction perpendicular to the wave’s propagation reduced by fourfold the diffraction limit from 100 THz to 400 THz.…”
Get full text

Comparative analysis of harmonic sensitivity for stator fault diagnosis in induction motors by Allal Abderrahim, Lamouchi Zakaria, Abderrahmane Khechekhouche, Antonio Marcos de Oliveira Siqueira, Julio César Costa Campos, Kheireddine Lamamra

“…The combination of FFT-based signal processing and harmonic analysis establishes a robust framework for the early detection and localization of faults in asynchronous motors within industrial settings. …”
Get full text