Note
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MDO formulations for a toy example in aerostructure¶
from __future__ import division, unicode_literals
from copy import deepcopy
from gemseo.api import (
configure_logger,
create_discipline,
create_scenario,
generate_n2_plot,
)
from gemseo.problems.aerostructure.aerostructure_design_space import (
AerostructureDesignSpace,
)
configure_logger()
algo_options = {
"xtol_rel": 1e-8,
"xtol_abs": 1e-8,
"ftol_rel": 1e-8,
"ftol_abs": 1e-8,
"ineq_tolerance": 1e-5,
"eq_tolerance": 1e-3,
}
Create discipline¶
First, we create disciplines (aero, structure, mission) with dummy formulas
using the AnalyticDiscipline class.
aero_formulas = {
"drag": "0.1*((sweep/360)**2 + 200 + "
+ "thick_airfoils**2-thick_airfoils -4*displ)",
"forces": "10*sweep + 0.2*thick_airfoils-0.2*displ",
"lift": "(sweep + 0.2*thick_airfoils-2.*displ)/3000.",
}
aerodynamics = create_discipline(
"AnalyticDiscipline", name="Aerodynamics", expressions_dict=aero_formulas
)
struc_formulas = {
"mass": "4000*(sweep/360)**3 + 200000 + " + "100*thick_panels +200.0*forces",
"reserve_fact": "-3*sweep " + "-6*thick_panels+0.1*forces+55",
"displ": "2*sweep + 3*thick_panels-2.*forces",
}
structure = create_discipline(
"AnalyticDiscipline", name="Structure", expressions_dict=struc_formulas
)
mission_formulas = {"range": "8e11*lift/(mass*drag)"}
mission = create_discipline(
"AnalyticDiscipline", name="Mission", expressions_dict=mission_formulas
)
disciplines = [aerodynamics, structure, mission]
We can see that structure and aerodynamics are strongly coupled:
generate_n2_plot(disciplines, save=False, show=True)
Create an MDO scenario with MDF formulation¶
Then, we create an MDO scenario based on the MDF formulation
design_space = AerostructureDesignSpace()
scenario = create_scenario(
disciplines=disciplines,
formulation="MDF",
objective_name="range",
design_space=design_space,
maximize_objective=True,
)
scenario.add_constraint("reserve_fact", "ineq", value=0.5)
scenario.add_constraint("lift", "eq", value=0.5)
scenario.execute({"algo": "NLOPT_SLSQP", "max_iter": 10, "algo_options": algo_options})
scenario.post_process("OptHistoryView", save=False, show=True)
Out:
INFO - 09:26:11:
INFO - 09:26:11: *** Start MDO Scenario execution ***
INFO - 09:26:11: MDOScenario
INFO - 09:26:11: Disciplines: Aerodynamics Structure Mission
INFO - 09:26:11: MDOFormulation: MDF
INFO - 09:26:11: Algorithm: NLOPT_SLSQP
INFO - 09:26:11: Optimization problem:
INFO - 09:26:11: Minimize: -range(thick_airfoils, thick_panels, sweep)
INFO - 09:26:11: With respect to: thick_airfoils, thick_panels, sweep
INFO - 09:26:11: Subject to constraints:
INFO - 09:26:11: reserve_fact(thick_airfoils, thick_panels, sweep) <= 0.5
INFO - 09:26:11: lift(thick_airfoils, thick_panels, sweep) == 0.5
INFO - 09:26:11: Design Space:
INFO - 09:26:11: +----------------+-------------+---------+-------------+-------+
INFO - 09:26:11: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:11: +----------------+-------------+---------+-------------+-------+
INFO - 09:26:11: | thick_airfoils | 5 | (15+0j) | 25 | float |
INFO - 09:26:11: | thick_panels | 1 | (3+0j) | 20 | float |
INFO - 09:26:11: | sweep | 10 | (25+0j) | 35 | float |
INFO - 09:26:11: +----------------+-------------+---------+-------------+-------+
INFO - 09:26:11: Optimization: 0%| | 0/10 [00:00<?, ?it]
ERROR - 09:26:11: NLOPT run failed : NLopt roundoff-limited, RoundoffLimited
INFO - 09:26:11: Optimization: 40%|████ | 4/10 [00:00<00:00, 115.17 it/sec, obj=4.51e+3]
INFO - 09:26:11: Optimization result:
INFO - 09:26:11: Objective value = 4509.505446930044
INFO - 09:26:11: The result is feasible.
INFO - 09:26:11: Status: None
INFO - 09:26:11: Optimizer message: GEMSEO Stopped the driver
INFO - 09:26:11: Number of calls to the objective function by the optimizer: 4
INFO - 09:26:11: Constraints values w.r.t. 0:
INFO - 09:26:11: lift = 1.1837386626467605e-10
INFO - 09:26:11: reserve_fact = 2.1929840698931002e-07
INFO - 09:26:11: Design Space:
INFO - 09:26:11: +----------------+-------------+-------------------+-------------+-------+
INFO - 09:26:11: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:11: +----------------+-------------+-------------------+-------------+-------+
INFO - 09:26:11: | thick_airfoils | 5 | 5 | 25 | float |
INFO - 09:26:11: | thick_panels | 1 | 3.225589189654568 | 20 | float |
INFO - 09:26:11: | sweep | 10 | 24.99326599319672 | 35 | float |
INFO - 09:26:11: +----------------+-------------+-------------------+-------------+-------+
INFO - 09:26:11: *** MDO Scenario run terminated in 0:00:00.098110 ***
<gemseo.post.opt_history_view.OptHistoryView object at 0x7f61b8b35e50>
Create an MDO scenario with bilevel formulation¶
Then, we create an MDO scenario based on the bilevel formulation
sub_scenario_options = {
"max_iter": 5,
"algo": "NLOPT_SLSQP",
"algo_options": algo_options,
}
design_space_ref = AerostructureDesignSpace()
Create the aeronautics sub-scenario¶
For this purpose, we create a first sub-scenario to maximize the range with respect to the thick airfoils, based on the aerodynamics discipline.
design_space_aero = deepcopy(design_space_ref).filter(["thick_airfoils"])
aero_scenario = create_scenario(
disciplines=[aerodynamics, mission],
formulation="DisciplinaryOpt",
objective_name="range",
design_space=design_space_aero,
maximize_objective=True,
)
aero_scenario.default_inputs = sub_scenario_options
Create the structure sub-scenario¶
We create a second sub-scenario to maximize the range with respect to the thick panels, based on the structure discipline.
design_space_struct = deepcopy(design_space_ref).filter(["thick_panels"])
struct_scenario = create_scenario(
disciplines=[structure, mission],
formulation="DisciplinaryOpt",
objective_name="range",
design_space=design_space_struct,
maximize_objective=True,
)
struct_scenario.default_inputs = sub_scenario_options
Create the system scenario¶
Lastly, we build a system scenario to maximize the range with respect to the sweep, which is a shared variable, based on the previous sub-scenarios.
design_space_system = deepcopy(design_space_ref).filter(["sweep"])
system_scenario = create_scenario(
disciplines=[aero_scenario, struct_scenario, mission],
formulation="BiLevel",
objective_name="range",
design_space=design_space_system,
maximize_objective=True,
mda_name="MDAJacobi",
tolerance=1e-8,
)
system_scenario.add_constraint("reserve_fact", "ineq", value=0.5)
system_scenario.add_constraint("lift", "eq", value=0.5)
system_scenario.execute(
{"algo": "NLOPT_COBYLA", "max_iter": 7, "algo_options": algo_options}
)
system_scenario.post_process("OptHistoryView", save=False, show=True)
Out:
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: MDOScenario MDOScenario Mission
INFO - 09:26:12: MDOFormulation: BiLevel
INFO - 09:26:12: Algorithm: NLOPT_COBYLA
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(sweep)
INFO - 09:26:12: With respect to: sweep
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: reserve_fact(sweep) <= 0.5
INFO - 09:26:12: lift(sweep) == 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +-------+-------------+---------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +-------+-------------+---------+-------------+-------+
INFO - 09:26:12: | sweep | 10 | (25+0j) | 35 | float |
INFO - 09:26:12: +-------+-------------+---------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/7 [00:00<?, ?it]
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Aerodynamics Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_airfoils)
INFO - 09:26:12: With respect to: thick_airfoils
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: lift(thick_airfoils) == 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+---------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+---------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | (15+0j) | 25 | float |
INFO - 09:26:12: +----------------+-------------+---------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
WARNING - 09:26:12: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 09:26:12: Optimization: 60%|██████ | 3/5 [00:00<00:00, 399.40 it/sec, obj=4.5e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 4500.624867974909
INFO - 09:26:12: The result is not feasible.
INFO - 09:26:12: Status: 5
INFO - 09:26:12: Optimizer message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 8
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: lift = 0.005333333333333523
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 5 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.021490 ***
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Structure Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_panels)
INFO - 09:26:12: With respect to: thick_panels
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: reserve_fact(thick_panels) <= 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+--------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+--------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | (3+0j) | 20 | float |
INFO - 09:26:12: +--------------+-------------+--------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
INFO - 09:26:12: Optimization: 100%|██████████| 5/5 [00:00<00:00, 268.63 it/sec, obj=4.26e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 4259.673200985174
INFO - 09:26:12: The result is feasible.
INFO - 09:26:12: Status: None
INFO - 09:26:12: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 6
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: reserve_fact = 5.908660227760265e-10
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 3.249999999901522 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.027283 ***
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Aerodynamics Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_airfoils)
INFO - 09:26:12: With respect to: thick_airfoils
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: lift(thick_airfoils) == 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 5 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
WARNING - 09:26:12: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 09:26:12: Optimization: 20%|██ | 1/5 [00:00<00:00, 1124.00 it/sec, obj=4.27e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 4267.901616337765
INFO - 09:26:12: The result is not feasible.
INFO - 09:26:12: Status: 5
INFO - 09:26:12: Optimizer message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 8
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: lift = 0.12713888888921754
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 5 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.012453 ***
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Structure Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_panels)
INFO - 09:26:12: With respect to: thick_panels
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: reserve_fact(thick_panels) <= 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 3.249999999901522 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
INFO - 09:26:12: Optimization: 100%|██████████| 5/5 [00:00<00:00, 447.75 it/sec, obj=4.27e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 4270.014801167415
INFO - 09:26:12: The result is feasible.
INFO - 09:26:12: Status: None
INFO - 09:26:12: Optimizer message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 6
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: reserve_fact = 1.795151405303841e-08
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 1.765277774787501 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.019109 ***
INFO - 09:26:12: Optimization: 57%|█████▋ | 4/7 [00:00<00:00, 49.93 it/sec, obj=4.27e+3]
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Aerodynamics Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_airfoils)
INFO - 09:26:12: With respect to: thick_airfoils
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: lift(thick_airfoils) == 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 5 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
WARNING - 09:26:12: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 09:26:12: Optimization: 100%|██████████| 5/5 [00:00<00:00, 466.50 it/sec, obj=4.51e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 3831.8061828323216
INFO - 09:26:12: The result is not feasible.
INFO - 09:26:12: Status: None
INFO - 09:26:12: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 7
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: lift = -0.0023383323840736048
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 25 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.019298 ***
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Structure Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_panels)
INFO - 09:26:12: With respect to: thick_panels
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: reserve_fact(thick_panels) <= 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 1.765277774787501 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
INFO - 09:26:12: Optimization: 100%|██████████| 5/5 [00:00<00:00, 450.30 it/sec, obj=4.51e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 4510.28733758947
INFO - 09:26:12: The result is feasible.
INFO - 09:26:12: Status: None
INFO - 09:26:12: Optimizer message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 6
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: reserve_fact = 9.825129154705792e-09
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 3.414587191640841 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.019179 ***
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Aerodynamics Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_airfoils)
INFO - 09:26:12: With respect to: thick_airfoils
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: lift(thick_airfoils) == 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 25 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
WARNING - 09:26:12: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 09:26:12: Optimization: 40%|████ | 2/5 [00:00<00:00, 719.16 it/sec, obj=4.49e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 4490.54017419866
INFO - 09:26:12: The result is not feasible.
INFO - 09:26:12: Status: 5
INFO - 09:26:12: Optimizer message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 8
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: lift = 0.009181047342347703
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 5 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.015229 ***
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Structure Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_panels)
INFO - 09:26:12: With respect to: thick_panels
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: reserve_fact(thick_panels) <= 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 3.414587191640841 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
INFO - 09:26:12: Optimization: 100%|██████████| 5/5 [00:00<00:00, 452.81 it/sec, obj=3.83e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 3826.743052193993
INFO - 09:26:12: The result is feasible.
INFO - 09:26:12: Status: None
INFO - 09:26:12: Optimizer message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 6
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: reserve_fact = 2.441211677250976e-10
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 3.256301635506198 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.019028 ***
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Aerodynamics Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_airfoils)
INFO - 09:26:12: With respect to: thick_airfoils
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: lift(thick_airfoils) == 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 5 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
INFO - 09:26:12: Optimization: 100%|██████████| 5/5 [00:00<00:00, 377.65 it/sec, obj=4.51e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 3854.081803343046
INFO - 09:26:12: The result is feasible.
INFO - 09:26:12: Status: None
INFO - 09:26:12: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 7
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: lift = 0.0
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 24.35677419344305 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.021626 ***
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Structure Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_panels)
INFO - 09:26:12: With respect to: thick_panels
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: reserve_fact(thick_panels) <= 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 3.256301635506198 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
INFO - 09:26:12: Optimization: 100%|██████████| 5/5 [00:00<00:00, 407.32 it/sec, obj=4.5e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 4499.256641689055
INFO - 09:26:12: The result is feasible.
INFO - 09:26:12: Status: None
INFO - 09:26:12: Optimizer message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 6
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: reserve_fact = 1.0071417477774958e-08
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 3.303233600552277 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.020263 ***
INFO - 09:26:12: Optimization: 100%|██████████| 7/7 [00:00<00:00, 22.75 it/sec, obj=3.85e+3]
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Aerodynamics Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_airfoils)
INFO - 09:26:12: With respect to: thick_airfoils
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: lift(thick_airfoils) == 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 24.35677419344305 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
WARNING - 09:26:12: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 09:26:12: Optimization: 40%|████ | 2/5 [00:00<00:00, 720.52 it/sec, obj=4.49e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 4492.3892036841535
INFO - 09:26:12: The result is not feasible.
INFO - 09:26:12: Status: 5
INFO - 09:26:12: Optimizer message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 8
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: lift = 0.008585874889775913
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: | thick_airfoils | 5 | 5 | 25 | float |
INFO - 09:26:12: +----------------+-------------+-------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.014956 ***
INFO - 09:26:12:
INFO - 09:26:12: *** Start MDO Scenario execution ***
INFO - 09:26:12: MDOScenario
INFO - 09:26:12: Disciplines: Structure Mission
INFO - 09:26:12: MDOFormulation: DisciplinaryOpt
INFO - 09:26:12: Algorithm: NLOPT_SLSQP
INFO - 09:26:12: Optimization problem:
INFO - 09:26:12: Minimize: -range(thick_panels)
INFO - 09:26:12: With respect to: thick_panels
INFO - 09:26:12: Subject to constraints:
INFO - 09:26:12: reserve_fact(thick_panels) <= 0.5
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 3.303233600552277 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: Optimization: 0%| | 0/5 [00:00<?, ?it]
INFO - 09:26:12: [A
ERROR - 09:26:12: NLOPT run failed : NLopt roundoff-limited, RoundoffLimited
INFO - 09:26:12: Optimization: 40%|████ | 2/5 [00:00<00:00, 835.85 it/sec, obj=3.86e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 3858.451348417431
INFO - 09:26:12: The result is feasible.
INFO - 09:26:12: Status: None
INFO - 09:26:12: Optimizer message: GEMSEO Stopped the driver
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 3
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: reserve_fact = 4.969322731085413e-10
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: | thick_panels | 1 | 3.264536843988948 | 20 | float |
INFO - 09:26:12: +--------------+-------------+-------------------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.013967 ***
INFO - 09:26:12: Optimization: 100%|██████████| 7/7 [00:00<00:00, 19.81 it/sec, obj=4.51e+3]
INFO - 09:26:12: Optimization result:
INFO - 09:26:12: Objective value = 4509.243436178001
INFO - 09:26:12: The result is feasible.
INFO - 09:26:12: Status: None
INFO - 09:26:12: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 09:26:12: Number of calls to the objective function by the optimizer: 8
INFO - 09:26:12: Constraints values w.r.t. 0:
INFO - 09:26:12: lift = 5.5555555884878594e-05
INFO - 09:26:12: reserve_fact = -0.1583333327326315
INFO - 09:26:12: Design Space:
INFO - 09:26:12: +-------+-------------+---------+-------------+-------+
INFO - 09:26:12: | name | lower_bound | value | upper_bound | type |
INFO - 09:26:12: +-------+-------------+---------+-------------+-------+
INFO - 09:26:12: | sweep | 10 | (25+0j) | 35 | float |
INFO - 09:26:12: +-------+-------------+---------+-------------+-------+
INFO - 09:26:12: *** MDO Scenario run terminated in 0:00:00.362958 ***
<gemseo.post.opt_history_view.OptHistoryView object at 0x7f61b851ca90>
Total running time of the script: ( 0 minutes 1.597 seconds)