Research on Spiral Motion Analysis Based on Optimisation Algorithm and Neural Networks

Abstract

This paper presents an in-depth study of motion problems involving dynamical models in spiral paths, with a focus on computational techniques and algorithms. By utilising the geometric properties of spirals, we have developed equations of motion for the nodes along the path [1]. The dynamics of motion in the spiral path are accurately described using advanced computational methods. First, we developed a motion model based on the geometric properties of the helix. The complete motion trajectory is obtained by second-by-second enumeration using MATLAB to ensure accurate computational precision. Second, a collision detection model is constructed; using MATLAB's inpolygon function, we determine that the collision occurs at 412.5 seconds. Finally, we use advanced algorithms to optimise the motion path and velocity. A particle swarm optimisation (PSO) algorithm and a feed-forward neural network are used to determine the minimum pitch angle, which is calculated to be 43.4 cm [2,3]. In addition, the maximum velocity that satisfies the velocity constraint is solved by these computational techniques.