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- W1586035564 abstract "An Ehresmann connection on a constrained state bundle defined by nonlinear differential constraints is constructed for nonlinear nonholomic systems.A set of differential constraints is integrable if and only if the curvature of the Ehresmann connection vanishes,Based on a geomtric interpretation of d-δ commutation relations in constrained dynamics given in this paper,the complets integrability conditions for the differential constraints are proven to be equivalent to the three requirements upon the conditional variation in mechanics:(1) the variations belong to the constrained manifold;(2) the time derivative commutes with variational operator;(3)the variations satisfy the Chetaev's conditions." @default.
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- W1586035564 date "2005-06-12" @default.
- W1586035564 modified "2023-09-24" @default.
- W1586035564 title "A connection theory for a nonlinear differential constrained system" @default.
- W1586035564 doi "https://doi.org/10.1088/1009-1963/11/12/002" @default.
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