Multiple beam systems. How to obtain the PDEs/BCs? How to solve?

DOI10.1007/s00707-013-0995-yzbMath1402.74059OpenAlexW1012662433MaRDI QIDQ398549

Hartmut Bremer

Publication date: 15 August 2014

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-013-0995-y

zbMATH Keywords

Hamilton's principleLagrange's principleorder-\(n\)-algorithmRitz series expansion

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Dynamics of multibody systems (70E55) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Elastic multibody dynamics. A direct Ritz approach
• Stabilization of constraints and integrals of motion in dynamical systems
• Numerical stabilization of the differential equations of Keplerian motion
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