A dissipative momentum-conserving time integration algorithm for nonlinear structural dynamics

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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Three-dimensional finite rotations treatment based on a minimal set parameterization and vector space operations in beam elements
Changing the representation and improving stability in time-stepping analysis of structural nonlinear dynamics
An exact conserving algorithm for nonlinear dynamics with rotational DOFs and general hyperelasticity. I: Rods
Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics
Finite rotation analysis and consistent linearization using projectors
Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups
Constraint energy momentum algorithm and its application to nonlinear dynamics of shells
Nonlinear dynamic analysis of shells with the triangular element TRIC.
Formulation and analysis of conserving algorithms for frictionless dynamic contact/ impact problems
Relaxed representations and improving stability in time-stepping analysis of three-dimensional structural nonlinear dynamics
Co-rotational flat facet triangular elements for shell instability analyses.
Generalized energy-momentum method for nonlinear adaptive shell dynamics
Structural dynamical analysis by a lengths-based description of the small strains in the finite displacements regime
Conservation properties of a time FE method?part II: Time-stepping schemes for non-linear elastodynamics
A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
Improving stability by change of representation in time-stepping analysis of non-linear beams dynamics
An alpha modification of Newmark's method
Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
A new energy and momentum conserving algorithm for the non‐linear dynamics of shells

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