International Journal of Frontiers in Sociology, 2021, 3(8); doi: 10.25236/IJFS.2021.030806.

## Application of Mathematical Model in Dynamic Analysis and Monitoring of Mechanical System

Author(s)

Ting Li

Corresponding Author:
Ting Li
Affiliation(s)

School of Mathematics and Statistics Zaozhuang University, Zaozhuang 277160, P.R. China

### Abstract

With the increasing popularity of mechanical system power, mechanical system plays an increasingly important role in various projects in China. It is not only directly related to personal safety, but also affects the enormous economic benefits brought by mechanical engineering applications. Therefore, it is necessary to analyze and monitor its operation status in order to detect potential dangerous signals in advance and ensure the stable operation of its mechanical system equipment. The purpose of this paper is to give us a deeper understanding of the dynamic characteristics of rotating machinery systems. It also provides a dynamic basis for parameter optimization design, fault diagnosis, vibration control and so on. In this paper, the steady and transient steering characteristics of an automobile train system consisting of one tractor and five trailers with double axle steering are studied by using the concept of ADAMS. The research methods of design research analysis, experiment design analysis and optimum design analysis are adopted. The effects of structural parameters such as lateral stiffness of tire, length of tractor rod, position of articulation point, front wheel rotation angle and service parameters on trajectory follow ability of tractor and Trailer (i.e., the same rut of tractor and trailer) are analyzed. The optimization schemes of the Steady-state circular motion and the figure-8 motion of the train under different working conditions are put forward. The experimental results show that: the trajectory deviation obtained by the experimental method in this paper decreases by 70% to 80%, the deviation is smaller, and the operation of mechanical system equipment tends to be more stable.

### Keywords

Mathematical Model, Mechanical System, Dynamic Analysis, Automobile and Train System

### Cite This Paper

Ting Li. Application of Mathematical Model in Dynamic Analysis and Monitoring of Mechanical System. International Journal of Frontiers in Sociology (2021), Vol. 3, Issue 8: 36-46. https://doi.org/10.25236/IJFS.2021.030806.

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