Work

Modeling and solving discrete Archimedean spiral motion based on forward difference algorithm

Year: 2024

Type: conference-paper

Abstract: The kinematic behavior of Archimedean spiral curves composed of discrete points has a wide range of applications. In this paper, a numerical modeling method is proposed based on the forward difference algorithm, which is able to accurately describe the position and velocity of discrete points in spiral motion. For the two cases that the spiral curve stops moving and the direction of motion is changed, we construct the geometric constraints and functions, and verify the accuracy and applicability of the model through the arithmetic examples, which provides the basis for further research on the spiral motion under complex geometric constraints.

Source: International Conference on Computational Modeling, Simulation and Data Analysis (CMSDA)

DOI: 10.1145/3727993.3728017

Authors: Rui Nie, Qianmu Qiao, Wenbo Zhou, Peng Zhao, Yanyan Zhang

Institution: Civil Aviation Flight University of China

Language: English

Topic: Mathematical and Computational Methods

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Awards: G1370172891, G3696326544