Linearly implicit time integration scheme of Lagrangian systems via quadratization of a nonlinear kinetic energy. Application to a rotating flexible piano hammer shank
DOI10.1051/m2an/2024049MaRDI QIDQ6652079
Guillaume Castera, Juliette Chabassier
Publication date: 12 December 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
energy quadratizationscalar auxiliary variableflexible piano hammer shankscalar Lagrangian quadratization
Dynamical systems in solid mechanics (37N15) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Lagrange's equations (70H03) PDEs in connection with mechanics of deformable solids (35Q74)
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