The problem of acceleration in the dynamics of a double-link wheeled vehicle with arbitrarily directed periodic excitation

Author:

Mikishanina Evgeniya1

Affiliation:

1. Department of Actuarial and Financial Mathematics, University-Academic Laboratory "Artificial Intelligence and Robotics", I. N. Ulianov Chuvash State University, Cheboksary, Russian Federation

Abstract

This study investigates the motion of a nonholonomic mechanical system that consists of two wheeled carriages articulated by a rigid frame. There is a point mass which oscillates at a given angle ? to the main axis of one of the carriages. As a result, periodic excitation occurs in the system. The equations of motion in quasi-velocities are obtained. Eventually, the dynamics of a double-link wheeled vehicle is modeled by a system that defines a nonautonomous flow on a three-dimensional phase space. The behavior of integral curves at large velocities depending on the angle ? is investigated. We use the generalized Poincar?e transformation and reduce the original problem to the stability problem for the system with a degenerate linear part. The proof of stability uses the restriction of the system to the central manifold and averaging by normal forms up to order 4. The range of values of ? for which one of the velocity components increases indefinitely is found and asymptotics for the solutions of the initial dynamical system is determined.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Mechanical Engineering,Computational Mechanics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Dynamics of a multilink wheeled vehicle: Partial solutions and unbounded speedup;International Journal of Non-Linear Mechanics;2024-10

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