Application of Mathematical Methods in Structural Engineering

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: closed (20 September 2023) | Viewed by 2007

Special Issue Editors


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Guest Editor
College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
Interests: structural optimization and intelligent design; lightweight and low-carbon structures; topology optimization; tensegrity structures; adaptive structures
Special Issues, Collections and Topics in MDPI journals
Department of Engineering, Zhejiang University City College, Hangzhou, China
Interests: lage-span spatial structures; structural health monitoring; structural state assessment
Department of Civil Engineering, Suzhou University of Science and Technology, Suzhou, China
Interests: structural health monitoring (SHM); structural state assessment; SHM data processing

Special Issue Information

Dear Colleagues,

Mathematical methods have been applied in various streams of engineering fields. In structural engineering, there are several applications of mathematics tools to analyze or simplify various problems such as finite element analysis of structure, structural state analysis, structural optimum design, etc. It is impossible to carry out any analysis of solid mechanics and structural behavior without the use of basic mathematical methods such as calculus, algebra, and geometry and advanced mathematical theory such as optimization theory, probability and statistics theory, and mathematical programming.

This Special Issue is seeking papers related to the application of mathematical methods in structural engineering. We are looking for research and review articles that address the development of novel mathematical methods and their applications in civil engineering, especially in the structural engineering field. The articles for this Special Issue may cover but are not limited to the following subjects: mathematical programming, mathematical optimization, mathematical modeling, structural optimization, structural health monitoring, computational methods, signal processing, and machine learning. Any work relevant to the topic is welcome.

Dr. Yafeng Wang
Dr. Zhi Ma
Dr. Wenwei Fu
Guest Editors

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Keywords

  • mathematical programming
  • mathematical optimization 
  • mathematical modeling 
  • structural optimization 
  • topology optimization 
  • finite element analysis 
  • structural health monitoring 
  • structural state assessment 
  • structural reliability analysis 
  • probability and statistics 
  • computational methods 
  • signal processing 
  • fuzzy mathematics 
  • machine learning

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Published Papers (1 paper)

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Research

22 pages, 6507 KiB  
Article
Characterization of Aeroelastic Behavior in a High Aspect Ratio Wing Using Computational and Wind Tunnel Experiments
by Michelle F. Westin, Jose M. Balthazar, Roberto G. A. da Silva, Mauricio A. Ribeiro and Angelo M. Tusset
Axioms 2023, 12(9), 826; https://doi.org/10.3390/axioms12090826 - 28 Aug 2023
Cited by 1 | Viewed by 1245
Abstract
The objective of this article is to characterize an aeroelastic system in terms of its dynamical behavior, which could be either chaotic or periodic before, during, and after achieving the flutter velocity. The aeroelastic system shown here is a wing with a high [...] Read more.
The objective of this article is to characterize an aeroelastic system in terms of its dynamical behavior, which could be either chaotic or periodic before, during, and after achieving the flutter velocity. The aeroelastic system shown here is a wing with a high aspect ratio, which leads to a very flexible behavior subjected to unsteady flow. This paper compares the computational and experimental dynamical behavior of an aeroelastic system at the flutter velocity for the different dynamic stall models proposed. To understand the nonlinear behavior of this system, the traditional attractor reconstruction and Lyapunov exponent calculation are compared with the 0–1 test. In addition to this comparison, two dynamic stall semi-empirical models are applied directly to the time history. All these comparisons show that the computational and wind tunnel experiments are in good agreement, and the dynamic behavior usually gives close results for the 0–1 test and Lyapunov exponent. It is concluded that the system presents chaotic behavior when no dynamic stall correction is applied or when Gangwani’s correction is applied. However, Boeing–Vertol’s correction postpones the chaotic behavior, meaning that the chaotic behavior is only observed for velocities above the flutter. Full article
(This article belongs to the Special Issue Application of Mathematical Methods in Structural Engineering)
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