Predefined solutions

class solution.predefined_solutions.SolutionProcedure

Bases: object

Variables:

• solu –
• solCtrl –
• sm –
• numberer – DOF numberer. Determines the mapping between equation numbers and degrees of freedom (how DOF are numbered)
• cHandler – constraint handler. Determines how the constraint equations are enforced in the analysis, how it handles the boundary conditions/imposed displacements
• analysisAggregation –
• solAlgo –

  solution algorithm, which determines the sequence of steps taken to solve the non-linear equation:

  • linear
  • Newton Raphson (the tangent is updated at each iteration)
  • Newton with Line Search
  • Modified Newton Raphson (the tangent is not updated at

  each iteration) - Kyrlov-Newton - BFGS, for symetric systems - Broyden

• integ –

  integrator, used to:

  • determine the predictive step for time t+dt
  • specify the tangent matrix and residual vectir at any iteration
  • determine the corrective step based on the displacement increment
• soe – sparse system of equations: band general, band SPD, profile SPD, sparse general, umfPack, sparse SPD
• solver –
• analysis – determines what type of analysis is to be performed
• convergenceTestTol – convergence tolerance (defaults to 1e-9)
• maxNumIter – maximum number of iterations (defauts to 10)

clear()

frequencyAnalysis(prb, systemPrefix='sym_band')

penaltyNewmarkNewtonRapshon(prb)

penaltyNewtonRaphson(prb)

plainLinearNewmark(prb)

simpleLagrangeStaticLinear(prb)

simpleNewtonRaphson(prb)

simpleNewtonRaphsonBandGen(prb)

simpleStaticLinear(prb)

simpleStaticModifiedNewton(prb)

simpleTransformationStaticLinear(prb)

Simple solution algorithm with a transformation constraint handler.

solution.predefined_solutions.frequency_analysis(prb)

solution.predefined_solutions.penalty_newton_raphson(prb)

solution.predefined_solutions.resuelveCasoEstatNoLin(nmbComb)

solution.predefined_solutions.resuelveComb(preprocessor, nmbComb, analysis, numSteps)

solution.predefined_solutions.resuelveCombEstat2ndOrderLin(preprocessor, nmbComb, analysis, numSteps)

solution.predefined_solutions.resuelveCombEstatLin(preprocessor, nmbComb, analysis, numSteps)

solution.predefined_solutions.simple_newton_raphson(prb)

solution.predefined_solutions.simple_newton_raphson_band_gen(prb)

solution.predefined_solutions.simple_static_linear(prb)

solution.predefined_solutions.simple_static_modified_newton(prb)