Conservation of angular momentum and energy in the integration of nonlinear dynamic equations

DOI10.1016/S0045-7825(99)00062-6zbMath0953.70002OpenAlexW2070324706MaRDI QIDQ1977092

L. Briseghella, C. Pellegrino, Carmelo E. Majorana

Publication date: 22 June 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00062-6

zbMATH Keywords

energyangular momentumrigid bodylarge displacementsfinite rotationsnonlinear dynamic equationsstep-by-step algorithmC++ finite element codescalar invariants of motion

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Free motion of a rigid body (70E15)

Related Items (2)

Dynamic analysis of beam structures considering geometric and constitutive nonlinearity ⋮ Constitutive and geometric nonlinear models for the seismic analysis of RC structures with energy dissipators

Cites Work

• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
• Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups
• Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
• A new energy and momentum conserving algorithm for the non‐linear dynamics of shells
• Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms

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