Multisymplectic Galerkin Lie group variational integrators for geometrically exact beam dynamics based on unit dual quaternion interpolation — no shear locking
Thomas Leitz, Rodrigo T. Sato Martín de Almagro, Sigrid Leyendecker
Topics & Concepts
MathematicsLie groupVariational integratorMathematical analysisIntegratorQuaternionInterpolation (computer graphics)Beam (structure)Galerkin methodEuclidean spaceEuclidean groupGeometryPhysicsClassical mechanicsFinite element methodAffine transformationThermodynamicsVoltageAffine spaceQuantum mechanicsOpticsMotion (physics)Numerical methods for differential equationsModel Reduction and Neural NetworksDynamics and Control of Mechanical Systems