We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
THE PROBLEM OF ACCELERATION IN THE DYNAMICS OF A DOUBLE-LINK WHEELED VEHICLE WITH ARBITRARILY DIRECTED PERIODIC EXCITATION.
- Authors
Mikishanina, Evgeniya
- 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 &945; 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 &945; 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 &945; for which one of the velocity components increases indefinitely is found and asymptotics for the solutions of the initial dynamical system is determined.
- Subjects
ACCELERATION (Mechanics); DYNAMICAL systems; THREE-dimensional flow; PHASE space; LINEAR systems; NONHOLONOMIC dynamical systems
- Publication
Theoretical & Applied Mechanics, 2023, Vol 50, Issue 2, p205
- ISSN
1450-5584
- Publication type
Article
- DOI
10.2298/TAM230831009M