Linearly implicit time integration scheme of Lagrangian systems via quadratization of a nonlinear kinetic energy. Application to a rotating flexible piano hammer shank - Archive ouverte HAL
Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2024

Linearly implicit time integration scheme of Lagrangian systems via quadratization of a nonlinear kinetic energy. Application to a rotating flexible piano hammer shank

Guillaume Castera
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Juliette Chabassier
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Résumé

This paper presents a general and practical approach for nonlinear energy quadratization based on the Euler–Lagrange formulation of the physical equations. A Scalar Auxiliary Variable -like method based on a phase formulation of the equations is applied. The proposed scheme is linearly implicit, reproduces a discrete equivalent of the power balance. It is applied to a rotating and flexible piano hammer shank. An efficient solving strategy leads to a quasi explicit algorithm which shows quadratic space/time convergence.
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Dates et versions

hal-04731901 , version 1 (11-10-2024)

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Guillaume Castera, Juliette Chabassier. Linearly implicit time integration scheme of Lagrangian systems via quadratization of a nonlinear kinetic energy. Application to a rotating flexible piano hammer shank. ESAIM: Mathematical Modelling and Numerical Analysis, 2024, 58 (5), pp.1881-1905. ⟨10.1051/m2an/2024049⟩. ⟨hal-04731901⟩
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