pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTFriction¶

Attributes¶

`jaxf`
`jaxf`

Classes¶

DLFTFriction

This element is the DLFT friction element, modeling a friction contact using a Coulomb law.

Functions¶

`DLFTFrictionResidualCorLoop_jax`(lambda_opt_t, ...)
`DLFTFrictionResidual_jax`(x, om, Rlin, nbSub, Pdir, ...)
`DLFTFrictionResidualCorLoop`(lambda_opt_t, ...)
`DLFTFrictionResidual`(x, om, Rlin, nbSub, Pdir, Pslave, ...)
`DLFTFrictionJacobianCorLoop`(dlamdx_opt_t_ss, ...)
`DLFTFrictionJacobian`(x, om, Rlin, dJdxlin, dJdomlin, ...)

Module Contents¶

pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTFriction.DLFTFrictionResidualCorLoop_jax(lambda_opt_t, lambda_pre_t, limit_friction_force)¶

pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTFriction.DLFTFrictionResidual_jax(x, om, Rlin, nbSub, Pdir, Pslave, Pmaster, mu, N0, eps, DFT, DTF, f_time_n)¶

pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTFriction.jaxf¶

pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTFriction.jaxf = None¶

pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTFriction.DLFTFrictionResidualCorLoop(lambda_opt_t, lambda_pre_t, mu, N0)¶

pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTFriction.DLFTFrictionResidual(x, om, Rlin, nbSub, Pdir, Pslave, Pmaster, mu, N0, eps, DFT, DTF)¶

pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTFriction.DLFTFrictionJacobianCorLoop(dlamdx_opt_t_ss, dlamdx_opt_t_sm, dlamdom_opt_t, lambda_pre_t, mu, N0)¶

pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTFriction.DLFTFrictionJacobian(x, om, Rlin, dJdxlin, dJdomlin, nbSub, Pdir, Pslave, Pmaster, mu, N0, eps, DFT, DTF)¶

class pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTFriction.DLFTFriction(nh: int, nti: int, name: str, data: dict, CS: pyHarm.CoordinateSystem.CoordinateSystem)¶

Bases: pyHarm.Elements.NodeToNodeElements.DLFTElements.DLFTElement.DLFTElement

This element is the DLFT friction element, modeling a friction contact using a Coulomb law.

mu¶

friction coefficient.

Type:: float

N0¶

normal precharge on the element.

Type:: float

eps¶

penalty parameter of the DLFT method.

Type:: foat

jac¶

if “analytical” uses analytical expression of jacobian, if “jax” uses automatic differentiation, if “DF” uses finite difference.

Type:: str

factory_keyword: str = 'DLFTFriction'¶

keyword that is used to call the creation of this class in the system factory.

Type:: str

__post_init__()¶

_evalJaco_ana(xg, om, Rglin, dJgdxlin, dJgdomlin, *args)¶

_evalJaco_jax(xg, om, Rglin=None)¶

adim(lc, wc)¶

Modifies the element properties according to the characteristic length and angular frequency.

eps¶

modified penalty coefficient to apply according to the characteristic parameters.

Type:: float

flag_adim¶

characteristic angular frequency value.

Type:: bool

evalResidual(xg, om, Rglin=None)¶

Computes the residual.

Parameters:

xg (np.ndarray) – full displacement vector.
om (float) – angular frequency value.
Rglin (np.ndarray) – Residual vector of all the linear element contributions.

Returns:

residual vector.

Return type:

np.ndarray

evalJacobian(xg, om, Rglin=None, dJgdxlin=None, dJgdomlin=None)¶

Computes the jacobians.

Parameters:

xg (np.ndarray) – full displacement vector.
om (float) – angular frequency value.
Rglin (np.ndarray) – Residual vector of all the linear element contributions.
dJgdxlin (np.ndarray) – Jacobian with respect to displacement of all the linear element contributions.
dJgdomlin (np.ndarray) – Jacobian with respect to angular frequency of all the linear element contributions.

Returns:

Jacobian with respect to displacement. np.ndarray: Jacobian with respect to angular frequency.

Return type:

np.ndarray