Energy-preserving variational integrators for forced Lagrangian systems

DOI10.1016/j.cnsns.2018.04.015OpenAlexW2782546133MaRDI QIDQ2207975

Harsh Sharma, C. A. Woolsey, Mayuresh J. Patil

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04996

zbMATH Keywords

Lagrange-d'Alembert principleforced harmonic oscillatornonlinear conservative systemadaptive time-step integratorextended forced Euler-Lagrange equations

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Forced motions in linear vibration theory (70J35) Lagrange's equations (70H03)

Related Items (5)

Preservation of adiabatic invariants and geometric numerical algorithm for disturbed nonholonomic systems ⋮ Performance assessment of energy-preserving, adaptive time-step variational integrators ⋮ A review of structure-preserving numerical methods for engineering applications ⋮ Simulation and trajectory optimization of articulated robots via spectral variational integrators ⋮ Variational integrators for forced Lagrangian systems based on the local path fitting technique

Cites Work

• Unnamed Item
• Structure-preserving integrators in nonlinear structural dynamics and flexible multibody dynamics
• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Simulating Hamiltonian Dynamics
• Discrete mechanics and variational integrators
• Symplectic-energy-momentum preserving variational integrators
• Geometric Numerical Integration
• Variational methods, multisymplectic geometry and continuum mechanics

This page was built for publication: Energy-preserving variational integrators for forced Lagrangian systems