Improved numerical dissipation for time integration algorithms in structural dynamics

Keywords

Newmark-beta method, Dissipation, Dynamics (music), Direct integration of a beam, Algorithm

References

• Stability and accuracy analysis of direct integration methodsKlaus‐Jürgen Bathe, Edward L. Wilson — 1972
• Evaluation of numerical integration methods in elastodynamicsG.L. Goudreau, Robert L. Taylor — 1973
• Finite element analysis of the initial stages of hypervelocity impactJ. N. Reddy — 1976
• Transient shell response by numerical time integrationR.D. Krieg, Samuel W. Key — 1973
• Numerical initial value problem~ in ordinary differential eqttationsE. I., C. W. Gear — 1971
• A Recurrence Matrix Solution for the Dynamic Response of Elastic AircraftJohn C. Houbolt — 1950

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• Dynamics of Flexible Multibody Systems Using Virtual Work and Linear Graph TheoryPengfei Shi, John McPhee — 2000
• Topology Optimization for Multi-Functional Components in Multibody Dynamics Systems.Guang Dong — 2012
• Consistent aeroelastic linearisation and reduced-order modelling in the dynamics of manoeuvring flexible aircraftHenrik Hesse — 2013
• A Newmark-type integrator for flexible systems considering nonsmooth unilateral constraintsQiong Zhong Chen, Vincent Acary, Geoffrey Virlez — 2012
• Computational Schemes for Flexible, Nonlinear Multi-Body SystemsOlivier A. Bauchau — 1998
• Nonlinear dynamics of elastic filaments conveying a fluid and numerical applications to the static Kirchhoff equationsMatthew A. Beauregard — 2008
• Models for Lateral Dynamic Interaction of High-Speed Trains and BridgesPablo Antolín, Javier Oliva Quecedo, José María Goicolea Ruigómez — 2011
• A weakly-intrusive multi-scale substitution method in explicit dynamicsOmar Bettinotti — 2014
• Automated Solution of Differential Equations by the Finite Element Method: The FEniCS BookAnders Logg, Kent‐André Mardal, Garth N. Wells — 2012
• Méthodes numériques appliquées à la conception par éléments finisDavid Dureisseix — 2008
• Computation of ground waves from pile driving and their effects on structuresC L Ramshaw — 2002
• Finite Elasto-Plasto-Dynamics - Challenges & SolutionsR. Mohr, A. Menzel, P. Steinmann — 2007
• Modélisation et optimisation numérique de l'étape de chauffage infrarouge pour la fabrication de bouteilles en PET par injection-soufflageM. Bordival — 2009
• Three-Dimensional Analysis of Base-Isolated StructuresDavid A. Roke — 2005
• Prévision des dommages d'impact basse vitesse et basse énergie dans les composites à matrice organique stratifiésEmilie Trousset — 2013
• Coupled Simulations of Wind Turbines and Offshore Support Structures : Strategies based on the Dynamic Substructuring ParadigmP. Valk — 2014
• Dynamics of high-speed railway bridges: review of design issues and new research for lateral dynamicsJosé María Goicolea Ruigómez, Pablo Antolín — 2012

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