Dynamical clustering, synchronization and strong amplitude reduction in a network of Euler’s beams coupled via a dynamic environment

In this paper, we investigate measure synchronization (MS) in a nondissipative coupled-pendulum system suspended from a common beam. The system consists of several identical pendula hanging from a common beam that are indirectly coupled through the movements of the beam. We find that as the ratio R of the mass of the common beam to the mass of each pendulum decreases, which, in turn, increases the coupling strength between the pendula, the coupled-pendulum can achieve MS, including partial MS and complete MS, below certain threshold values of Rc. The energy characteristics of the MS are discussed. It is found that the pendula reach frequency locking at the MS transitions. Furthermore, by employing Poincaré section analysis, we reveal the dynamical mechanism of MS transitions.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Dynamical clustering, synchronization and strong amplitude reduction in a network of Euler’s beams coupled via a dynamic environment

Cited by 2 publications

References 19 publications

Distinguishing periodic attitude motions from Poincaré sections using a compatible clustering method

Distinguishing periodic attitude motions from Poincaré sections using a compatible clustering method

Measure synchronization and clustering in a coupled-pendulum system suspended from a common beam

Contact Info

Product

Resources

About