TY - GEN
T1 - Variational nonsmooth mechanics via a projected Hamilton's principle
AU - Pekarek, David
AU - Murphey, Todd D.
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
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U2 - 10.1109/acc.2012.6315587
DO - 10.1109/acc.2012.6315587
M3 - Conference contribution
AN - SCOPUS:84869386676
SN - 9781457710957
T3 - Proceedings of the American Control Conference
SP - 1040
EP - 1046
BT - 2012 American Control Conference, ACC 2012
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2012 American Control Conference, ACC 2012
Y2 - 27 June 2012 through 29 June 2012
ER -