We present a new second order extension of the generalized—α method of Chung and Hulbert for systems in mechanics having nonconstant mass matrix, holonomic constraints, and/or nonholonomic constraints. Such systems are frequently encountered in multibody dynamics. For variable step—sizes, a new adjusting formula preserving the second order of the method is proposed.
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Jay, O.L., Negrut, D. (2009). A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics. In: Bottasso, C.L. (eds) Multibody Dynamics. Computational Methods in Applied Sciences, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8829-2_8
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DOI: https://doi.org/10.1007/978-1-4020-8829-2_8
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