Abstract
This paper develops discrete holonomic Hamiltonian systems that is based on the discretization by the Backward Differentiation Formula and with geometric constraint stabilization, which enables one to effectively stabilize constraint violations that appear in numerical simulations of holonomic mechanical systems. We illustrate the validity of the proposed discrete holonomic Hamiltonian systems by an illustrative example of linkage mechanisms in comparison with conventional constraint stabilization methods such as the GGL method and the Baumgarte method.
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