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    A Hamiltonian Formulation on Manifolds for Dynamic Modeling of Constrained Mechanisms and EnergyPreserving Integration 

    Source: Journal of Applied Mechanics:;2022:;volume( 089 ):;issue: 012:;page 121007
    Author(s): Li, Hongchen;Ding, Ye
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The dynamic modeling of multibody system is crucial in motion simulations, design, and control of mechanisms. This paper proposes a Hamiltonian formulation on manifolds for mechanism modeling which involves three key steps: ...
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    Variational Integrators on Manifolds for Constrained Mechanical Systems 

    Source: Journal of Applied Mechanics:;2024:;volume( 091 ):;issue: 007:;page 71009-1
    Author(s): Lin, Ziying; Li, Hongchen; Ding, Ye; Zhu, Xiangyang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Variational integrators play a pivotal role in the simulation and control of constrained mechanical systems. Current Lagrange multiplier-free variational integrators for such systems are concise but inevitably face issues ...
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