| Name: | Description: | Size: | Format: | |
|---|---|---|---|---|
| 527.28 KB | Adobe PDF |
Advisor(s)
Abstract(s)
Fractional calculus is a mathematical paradigm that has been increasingly adopted to describe the dynamics of systems with hereditary characteristics, or that reflect an average of a large population of microelements. In this line of thought, this article analyzes the statistical dynamics of a system composed of a large number of micromechanical masses with backlash and impacts. We conclude that, while individual dynamics of each element has an integer-order nature, the global dynamics reveal the existence of both integer and fractional dynamics.
Description
Keywords
Citation
Publisher
American Society of Mechanical Engineers