Free Transverse Vibrations of a Load-Bearing Rope with Spring-Compliant Supports at Different Levels
Year: 2025
Type: article
Abstract: This paper investigates the free transverse vibrations of a load-bearing rope with spring-compliant supports at different levels. Using Lagrange’s equation and the geometrical approach to flexible string modeling, a nonlinear differential equation was derived to describe the dynamic behavior of the system. Analytical expressions for the reduced mass coefficient were obtained, enabling evaluation of vibration frequencies and amplitudes depending on the rope parameters, load weight, and support compliance. The results demonstrate that spring-compliant supports significantly affect the dynamic response of the system, leading to frequency shifts and increased oscillation amplitudes. The developed methodology can be applied in the design of cableways, suspension bridges, crane systems, and other rope-supported structures.
Authors: Taras Sliepko, Andrii Ganzyuk, Oleksandr Lytvynov
Institution: Khmelnytskyi National University
Language: English
Subfield: Mechanical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4415430286