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- W2072846977 abstract "We present a formalism for nonlinear nonholonomic mechanical systems that generalizes the Chetaev model. Our treatment of the constrained problem is based on the velocity-determined virtual displacements. As an example, we discuss the Apell-Hamel dynamical system in the frame of a moving elevator and find the present method to provide results consistent with Newton's solution, in contrast to the other treatment generalizing the Chetaev condition based on a direct velocity expansion of the constraint equation. The known Chetaev condition follows as a special case of our scheme when the constraint is homogeneous in relative velocities." @default.
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- W2072846977 date "2009-04-01" @default.
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- W2072846977 title "A generalization of the Chetaev condition for nonlinear nonholonomic constraints: The velocity-determined virtual displacement approach" @default.
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- W2072846977 doi "https://doi.org/10.1016/s0034-4877(09)00012-3" @default.
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