Rolling friction-contact problems#

Problem statement#

Implementation in numerics#

Structure to define the problem: RollingFrictionContactProblem.

Solvers list : FRICTION_SOLVER (id contains ROLLING_FRICTION_3D)

The generic drivers for friction-contact problems are:

Error strategy#

To set internal solver tolerance (when it makes sense!) use rolling_fc3d_set_internalsolver_tolerance().

Check details in Error strategy

Rolling-Friction 3D available solvers#

NSGS (SICONOS_ROLLING_FRICTION_3D_NSGS)#

Non-Smooth Gauss Seidel solver.

Driver: rolling_fc3d_nsgs()

Parameters:

  • iparam[SICONOS_IPARAM_MAX_ITER] = 1000 : Maximum iteration number

  • iparam[SICONOS_FRICTION_3D_IPARAM_ERROR_EVALUATION] : error computation method,

    • SICONOS_FRICTION_3D_NSGS_ERROR_EVALUATION_FULL : Full error computation with velocity computation

    • SICONOS_FRICTION_3D_NSGS_ERROR_EVALUATION_LIGHT_WITH_FULL_FINAL (DEFAULT): Light error computation with incremental values on reaction verification of absolute error at the end

    • SICONOS_FRICTION_3D_NSGS_ERROR_EVALUATION_LIGHT : only light error computation (velocity not computed)

    • SICONOS_FRICTION_3D_NSGS_ERROR_EVALUATION_ADAPTIVE : we adapt the frequency of the full erro evaluation.

  • iparam[SICONOS_FRICTION_3D_IPARAM_ERROR_EVALUATION_FREQUENCY] = 0, error computation frequency

  • iparam[SICONOS_FRICTION_3D_IPARAM_INTERNAL_ERROR_STRATEGY] = SICONOS_FRICTION_3D_INTERNAL_ERROR_STRATEGY_GIVEN_VALUE

  • iparam[SICONOS_FRICTION_3D_NSGS_SHUFFLE] : shuffle the contact indices in the loop

    • SICONOS_FRICTION_3D_NSGS_SHUFFLE_FALSE : no shuffle

    • SICONOS_FRICTION_3D_NSGS_SHUFFLE_TRUE : shuffle only at the beginning

    • SICONOS_FRICTION_3D_NSGS_SHUFFLE_TRUE_EACH_LOOP : shuffle in each iteration

  • iparam[SICONOS_FRICTION_3D_NSGS_SHUFFLE_SEED] = 0 : seed for the random generator in shuffling contacts

  • iparam[SICONOS_FRICTION_3D_NSGS_FILTER_LOCAL_SOLUTION] : filter local solution if the local error is greater than 1.0

    • SICONOS_FRICTION_3D_NSGS_FILTER_LOCAL_SOLUTION_FALSE (default) the filter is not applied

    • SICONOS_FRICTION_3D_NSGS_FILTER_LOCAL_SOLUTION_TRUE the filter is applied

  • iparam[SICONOS_FRICTION_3D_NSGS_RELAXATION] : method uses overrelaxation

    • SICONOS_FRICTION_3D_NSGS_RELAXATION_FALSE (default) relaxation is not used,

    • SICONOS_FRICTION_3D_NSGS_RELAXATION_TRUE relaxation is used with parameter dparam[8],

  • dparam[SICONOS_DPARAM_TOL] = 1e-4, user tolerance on the loop

  • dparam[SICONOS_FRICTION_3D_DPARAM_INTERNAL_ERROR_RATIO] = 10.0

  • dparam[SICONOS_FRICTION_3D_NSGS_RELAXATION_VALUE] the relaxation parameter omega

Default internal solver : SICONOS_ROLLING_FRICTION_3D_ONECONTACT_ProjectionOnConeWithLocalIteration.

Projection on cone (SICONOS_ROLLING_FRICTION_3D_ONECONTACT_ProjectionOnCone, …)#

Parameters:

  • iparam[SICONOS_IPARAM_MAX_ITER] = 1000

  • iparam[SICONOS_FRICTION_3D_CURRENT_CONTACT_NUMBER]

  • iparam[SICONOS_FRICTION_3D_NSGS_LOCALSOLVER_IPARAM_USE_TRIVIAL_SOLUTION]

    • SICONOS_FRICTION_3D_NSGS_LOCALSOLVER_USE_TRIVIAL_SOLUTION_TRUE (default for ProjectionOnConeWithLocalIteration)

    • SICONOS_FRICTION_3D_NSGS_LOCALSOLVER_USE_TRIVIAL_SOLUTION_FALSE (default for ProjectionOnCone)

  • dparam[SICONOS_DPARAM_TOL] =1e-12

out :

iparam[SICONOS_FRICTION_NUMBER_OF_CONTACTS] : number of contacts