Graduation Year
2015
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Andrew Bernoff
Reader 2
Rob Thompson
Terms of Use & License Information
Rights Information
© 2015 Ksenia V Zakirova
Abstract
Chain dynamics have gained renewed interest recently, following the release of a viral YouTube video showcasing a phenomenon called the chain fountain. Recent work in the field shows that there exists unexplained behavior in newly proposed chain systems. We consider a general system of a chain traveling at constant velocity in an external force field and derive steady state solutions for the time invariant shape of the chain. Perturbing the solution introduces moving waves along the steady state shape with components that propagate along and against the direction of travel of the chain. Furthermore, we develop a numerical model using a discrete approximation of the chain in order to empirically test our results. The behavior of the chain fountain and related chain systems is discussed in the context of these findings.
Recommended Citation
Zakirova, Ksenia V., "Perturbation Dynamics on Moving Chains" (2015). HMC Senior Theses. 90.
https://scholarship.claremont.edu/hmc_theses/90
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
