Numerical Integration of Rolling Equations with the Use of Control Theory

被引：0

作者：

Matrosov, I.V. ^{[1
]}

Morozov, Yu. V. ^{[2
]}

Pesterev, A.V. ^{[2
]}

机构：

[1] OOO Javad GNSS, Moscow,125057, Russia

[2] Institute of Control Sciences, Russian Academy of Sciences, Moscow,117997, Russia

来源：

Journal of Computer and Systems Sciences International | 2021年 / 60卷 / 02期

关键词：

Integral equations - Numerical methods;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Abstract: In this paper, an approach to numerical integration of equations governing motion of constrained mechanical systems is suggested. In this approach, unknown reaction forces acting on the system are treated as controls, and the algebraic equations that these reactions satisfy, as control goals. Based on the suggested approach, an algorithm for numerical solving rolling equations is developed. The discussion is illustrated by the example of application of the algorithm to solve the problem of a heavy wheel rolling along a curvilinear profile without slippage. © 2021, Pleiades Publishing, Ltd.

引用

页码：171 / 181