Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
4.0
2.3
Journals
Mathematics
Special Issues
Numerical Analysis and Finite Element Method with Applications
share announcement

Numerical Analysis and Finite Element Method with Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 31 August 2025 | Viewed by 366

Special Issue Editors

Dr. Junqi Zhang

E-Mail Website
Guest Editor
National Key Laboratory of Bridge Safety and Resilience, Beijing University of Technology, Beijing 100124, China
Interests: scaled boundary finite element method; multi-physics coupling calculation; soil-structure interaction; high-performance computing
Dr. Guoliang Zhang

E-Mail Website
Guest Editor
School of Civil and Transportation Engineering, Guangdong University of Technology, Guangzhou 510006, China
Interests: computational mechanics; finite element method; artificial boundary conditions; scaled boundary perfect matched layers; wave propagation

Special Issue Information

Dear Colleagues,

With the increasing complexity of computational models, the finite element method (FEM) and other numerical methods play pivotal roles in simulating physical processes, predicting system behavior, and optimizing structural performance. This Special Issue aims to showcase innovative applications and methodological advances in numerical analysis and the FEM across various scientific and engineering fields. We welcome original research articles and review papers focusing on the latest theoretical developments, computational techniques, and interdisciplinary applications of numerical methods. Topics may include (but are not limited to) computational mechanics, structural dynamics, geotechnical engineering, multi-physics problems, and the simulation of wave propagation.

Dr. Junqi Zhang
Dr. Guoliang Zhang
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. Mathematics 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 2600 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

  • computational mechanics
  • novel discretization schemes
  • finite element method
  • multi-physics simulation
  • nonlinear analysis
  • multi-scale modeling
  • topological optimization
  • inverse problem
  • high-performance computing
  • data-driven modeling

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (1 paper)

Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

26 pages, 9513 KiB  
Article
Dynamic Response of Beams Under Random Loads
by Mario Rosario Chiarelli
Mathematics 2025, 13(8), 1322; https://doi.org/10.3390/math13081322 - 17 Apr 2025
Viewed by 136
Abstract
In engineering, the study of the dynamic response of structures subjected to non-deterministically variable loads is particularly important, especially when considering the damage that such loads can cause due to fatigue phenomena. This is the case, for example, of the vibrations that a [...] Read more.
In engineering, the study of the dynamic response of structures subjected to non-deterministically variable loads is particularly important, especially when considering the damage that such loads can cause due to fatigue phenomena. This is the case, for example, of the vibrations that a satellite must withstand during the launch phase. In the preliminary design phases, it is very useful to have semi-analytical calculation methodologies that are sufficiently reliable but, at the same time, simple. In the technical literature, there are numerous publications that deal with the study of the random dynamic response of beam models. In general, the presented studies are rather complex, and the dynamic solutions are often obtained in the time domain. The case of a linear elastic uniform cantilever beam model is considered here, for which the analytical expressions of the transfer functions for acceleration, displacement, bending moment, and bending stress are calculated, taking as input the acceleration assigned to the root section or an external lateral load. Knowing the spectral density of the input loads, the spectral densities of all the above-mentioned variables are calculated along the beam axis, assuming stationary and ergodic random processes. Using the spectral density of each output variable, the effective value (RMS) is obtained via integration, which allows for a preliminary estimate of the severity of the working conditions of the beam. The spectral density of the responses also allows us to quickly highlight the contribution of each natural vibration mode as the spectrum of the load varies. The results were obtained using simple spreadsheets available to the reader. Full article
(This article belongs to the Special Issue Numerical Analysis and Finite Element Method with Applications)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-1
Back to TopTop