Author(s)

GuanYu Xu¹, SongHe Wang², ChaoJing Zhang¹, GaoHua Kong^3*

Affiliation(s)

¹College of Electronic and Optical Engineering & College of Microelectronics, Nanjing University of Posts and Telecommunications, Nanjing 210023, Jiangsu, China.

²College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, Jiangsu, China.

³College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, Jiangsu, China.

Corresponding Author

GaoHua Kong

ABSTRACT

Stair wear can reflect the construction time and use of the stair, and this information can assist archaeologists to analyze the overall use history and use habits of ancient buildings. In order to obtain the buried depth information of ancient buildings through the worn surface, this paper integrates the principles of Newtonian mechanics, material science and environmental science, and for the first time proposes a multi-dimensional factor-based stair wear analysis model and optimization analysis model, which can dynamically analyze the stair wear process involving multiple factors through the input information of ancient stair construction materials and surface wear characteristics, and help archaeologists to analyze the environmental changes and social changes witnessed by the stair. It helps archaeologists to analyze the environmental and social changes witnessed by the stairs. Considering that stair wear is determined by both natural and man-made factors, this paper first introduces logistic function and sigmoid function to describe the aggravation of natural erosion on the building and the decay of material strength, respectively; subsequently, it introduces the depth of wear in the model to calculate the frequency of use; and it introduces the depth of wear to optimize the model to analyze the use habits, which finally achieves the important task of discovering the hidden characteristics of wear. Information hidden underneath the wear and tear features.

KEYWORDS

SWM; Stair wear; Multi-dimensional factor-based model; Use frequency; Differential equation

CITE THIS PAPER

GuanYu Xu, SongHe Wang, ChaoJing Zhang, GaoHua Kong. SWM: an optimized differential equation model for stair wear. World Journal of Engineering Research. 2025, 3(2): 41-49. DOI: https://doi.org/10.61784/wjer3028.

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