Document Type
Article
Publication Date
2016
Digital Object Identifier (DOI)
https://doi.org/10.1155/2016/8124015
Abstract
A kinetic shape (KS) is a smooth two- or three-dimensional shape that is defined by its predicted ground reaction forces as it is pressed onto a flat surface. A KS can be applied in any mechanical situation where position-dependent force redirection is required. Although previous work on KSs can predict static force reaction behavior, it does not describe the kinematic behavior of these shapes. In this article, we derive the equations of motion for a rolling two-dimensional KS (or any other smooth curve) and validate the model with physical experiments. The results of the physical experiments showed good agreement with the predicted dynamic KS model. In addition, we have modified these equations of motion to develop and verify the theory of a novel transportation device, the kinetic board, that is powered by an individual shifting their weight on top of a set of KSs.
Rights Information
This work is licensed under a Creative Commons Attribution 4.0 License.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Journal of Nonlinear Dynamics, v. 2016, art. 8124015
Scholar Commons Citation
Handžić, Ismet; Muratagic, Haris; and Reed, Kyle B., "Two-Dimensional Kinetic Shape Dynamics: Verification and Application" (2016). Mechanical Engineering Faculty Publications. 131.
https://digitalcommons.usf.edu/egr_facpub/131
