Dynamics of P. L. Chebyshev’s paradoxical mechanism

• Published in: Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика Vol. 25; no. 1; pp. 57 - 69
• Main Author: Burian, Sergey N.
• Format: Journal Article
• Language: English
• Published: Saratov State University 21.02.2025
• Subjects: chebyshev’s mechanisms; hinge mechanism; holonomic constraint; lagrange multipliers; paradoxical mechanism; singular point

The paradoxical mechanism of P. L. Chebyshev is the main issue of this article. The paradoxical mechanism could be considered as the union of the lambda-mechanism and a double pendulumthe free vertices of which are hingedly connected. One of the pendulum rods is usually replaced by a massive disk. A...