Abstract
This paper presents a projection-based variational formulation of nonsmooth mechanics. In contrast to existing approaches, nonsmooth behavior is captured through the use of a projection mapping on the configuration space. After clearly defining a projected Hamilton's principle, our main focus is on the existence of admissible projection mappings and variational solutions. This lays the foundation necessary for a variety of useful future developments, which includes optimization techniques, stochastic nonsmooth mechanical system models, and integrator symplecticity proofs.
| Original language | English (US) |
|---|---|
| Title of host publication | 2012 American Control Conference, ACC 2012 |
| Pages | 1040-1046 |
| Number of pages | 7 |
| State | Published - Nov 26 2012 |
| Event | 2012 American Control Conference, ACC 2012 - Montreal, QC, Canada Duration: Jun 27 2012 → Jun 29 2012 |
Other
| Other | 2012 American Control Conference, ACC 2012 |
|---|---|
| Country | Canada |
| City | Montreal, QC |
| Period | 6/27/12 → 6/29/12 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering
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Cite this
Pekarek, D., & Murphey, T. D. (2012). Variational nonsmooth mechanics via a projected Hamilton's principle. In 2012 American Control Conference, ACC 2012 (pp. 1040-1046). [6315587]