sajou.solvers module

class sajou.solvers.Result(model)

Bases: object

An object to store the data obtained from the solving process

add_metadata(name, results)

Add results to the results dictionary

Name:TODO
Results:TODO
Returns:TODO
add_result(name, results)

Add results to the results dictionary

Name:TODO
Results:TODO
Returns:TODO
class sajou.solvers.Solver(model, **kwargs)

Bases: object

Parent class for the solvers used

Parameters:
  • model (TODO) –
  • **kwargs (Additional options:) –
    • output: list of keywords specifying the different results that need to be
      computed after the solution is found. Accepted values are: - ‘reactions’ - ‘internal forces’ - ‘stresses’ - ‘strains’ - ‘energy’
nfat

dict – Node Freedom Allocation Table

n_dof_per_node

int – number of degrees of freedom per node spacial dimensions used in the model

_K

numpy ndarray – global stiffness matrix

_P

numpy ndarray – global load vector

_V

numpy ndarray – global displacement vector

_dof_dirichlet

list – number of degrees of freedom with Dirichlet border conditions

_nfmt

dict – Node Freedom Map Table

get_node_and_dof(dof)

Return the node and element dof (number of the dof in a specific element) corresponding to the global dof given.

Parameters:dof (int) – global dof
Returns:
  • sajou.Node – Node correpsonding to the dof specified
  • int – number of the dof of the element corresponding to the global dof supplied
class sajou.solvers.StaticSolver(model, **kwargs)

Bases: sajou.solvers.Solver

Linear Static solver used to solve the most typical problems

calc_end_forces(result, nodal_displ)

Calculate the internal forces of elements.

Parameters:
  • result (Result object) – used to store the results to
  • nodal_displ (ndarray) – nodal displacements obtained from the solver
Returns:

dict
Return type:

End forces
calc_nodal_displ(result, nodal_displ, K, elem_load)

Calculate the nodal displacements

Parameters:
  • result (Results object) – result obtained from the Solver
  • nodal_displ (ndarray) – displacements array calculated after the solve process
  • K (ndarray) – Stiffness matrix
  • elem_load (ndarray) – Elemetn load
calc_nodal_forces(result, nodal_displ, K, elem_load)

Compute the nodal forces

Parameters:
  • result (Result object) – result obtained from the solver
  • nodal_displ (ndarray) – nodal displacements calculated with the stiffness matrix
  • K (ndarray) – Stiffness matrix
  • elem_load (TODO) –
Returns:

dict
Return type:

dictionary with the nodal forces
calc_nodal_reactions(result, nodal_displ, K, elem_load)

Calculate the nodal reactions of the model.

Parameters:
  • result (Result object) – result obtained with Solver
  • nodal_displ (ndarray) – nodal displacements
  • K (ndarray) – stiffness matrix
  • elem_forces (ndarray) – element forces vector
Returns:

ndarray
Return type:

nodal reactions
postprocess(result)

Postprocess the specified results given in the ‘output’ variable

Result:TODO
Returns:TODO
solve()

Solves the problem :returns: numpy array