Open Access

ARTICLE

A Method of Disc Inclination Correction Based on the Inversion Model of Rotation Law

Yanan Zhang^1,*, Lin Ouyang², Qinqin Li², Haichen Ju²

1 Engineering Training Center, Nanjing University of Information Science & Technology, Nanjing, 210044, China
2 School of Atmospheric Sciences, Nanjing University of Information Science and Technology, Nanjing, 210044, China

* Corresponding Author: Yanan Zhang. Email:

Journal on Big Data 2020, 2(3), 125-133. https://doi.org/10.32604/jbd.2020.012879

Received 20 July 2020; Accepted 10 September 2020; Issue published 13 October 2020

Abstract

Under the traditional dynamic model, the conventional method for solving the rotation angle of a rigid body is to use the fixed-axis rotation law of the rigid body, but the known rotation shaft position must be used as a prerequisite. In practical work, for the rotation of a rigid body under multiple forces, solving the shaft is often a difficult problem. In this paper, we consider the rigid body of the disc is subjected to the force of uneven magnitude from multiple angles, the position of the rotating shaft is obtained by iterative inversion through the rigid body rotation law and the dichotomy method. After the position of the shaft is determined, we establish a differential equation model based on the law of rigid body rotation, the rotation angle of the rigid body thus being solved based on this model. Furthermore, an optimization algorithm such as genetic algorithm is used to search for a correction scheme to return the rigid body to equilibrium at any given deflection angle. The model and method are based on computer to explore the law of rotation, the practical application of them play an important role in studying the concentric drum movement and the balance of handling furniture.

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