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- Title
Chaotic behaviors and multiple attractors in a double pendulum with an external harmonic excitation.
- Authors
Liu, Zeyi; Gao, Jianshe; Ding, Shunliang; Rao, Xiaobo
- Abstract
In this paper, the dynamic behavior of a double pendulum under horizontal harmonic excitation is studied. The mathematical model is described by a four-dimensional non-autonomous system with smooth nonlinearities. Based on the sensitivity analysis of parameters, two representative parameters are selected and their influences on the system behavior are reported with a set of high-resolution stability diagrams. In addition to explore the classical dynamic behavior of the system, our study also investigates the issue of multistability arising from attractor self-reproducing. To enhance the reliability of our findings, simulations were conducted within a multi-body simulation environment, which yielded consistent and robust results. Furthermore, utilizing the experimental platform developed with Qualisys, we identified several pairs of attractors with specific offsets, a significant indication of attractor self-reproducing. This paper will contribute to understand the rich and intriguing behaviors of the double pendulum.
- Subjects
ATTRACTORS (Mathematics); DYNAMICAL systems; PENDULUMS; SENSITIVITY analysis; MATHEMATICAL models
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 3, p1779
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-09140-z