otko/examples/ex3_canti2d_inelastic_section.py

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2026-09-08 02:12:15 -04:00
"""OpenSees Example 3. Cantilever Column with units: uniaxial inelastic section build."""
from __future__ import annotations
from pathlib import Path
import math
import sys
if __package__ is None or __package__ == "":
sys.path.insert(0, str(Path(__file__).resolve().parents[1] / "src"))
from otko.core import ( # noqa: E402
AggregatorDOF,
ElasticUniaxial,
ForceBeamColumn,
LinearTimeSeries,
NodalLoad,
Node,
PathTimeSeries,
PlainLoadPattern,
Project,
ProjectMeta,
PushoverCase,
SectionAggregator,
StaticCase,
Steel01,
TransientCase,
UniformExcitationPattern,
UnitSystem,
)
from otko.services import load_project, save_project # noqa: E402
from otko.services.peer_record import parse_plain_values # noqa: E402
INCH = 1.0
KIP = 1.0
SEC = 1.0
FT = 12.0 * INCH
KSI = KIP / INCH**2
PSI = KSI / 1000.0
G_ACCEL = 32.2 * FT / SEC**2
L_COL = 36.0 * FT
WEIGHT = 2000.0 * KIP
H_COL = 5.0 * FT
B_COL = 5.0 * FT
P_COL = WEIGHT
MASS = P_COL / G_ACCEL
A_COL = B_COL * H_COL
IZ_COL = (1.0 / 12.0) * B_COL * H_COL**3
FC = -4.0 * KSI
E_C = 57.0 * KSI * math.sqrt(-FC / PSI)
EA_COL = E_C * A_COL
MY_COL = 130000.0 * KIP * INCH
PHI_Y_COL = 0.65e-4 / INCH
EI_COL_CRACK = MY_COL / PHI_Y_COL
HARDENING_RATIO = 0.01
NUM_INT_PTS = 5
N_GRAVITY = 10
GRAVITY_STEP = 1.0 / N_GRAVITY
PUSH_TARGET = 0.05 * L_COL
PUSH_STEP = 0.001 * L_COL
H_LOAD = WEIGHT
GROUND_DT = 0.01
GROUND_FACTOR = 1.0
ANALYSIS_DT = 0.01
ANALYSIS_STEPS = 1000
DAMPING_RATIO = 0.02
_ROOT = Path(__file__).resolve().parent
GROUND_MOTION_FILE = _ROOT / "data" / "BM68elc.acc"
REFERENCE_BUILD_TCL = _ROOT / "data" / "Ex3.Canti2D.build.InelasticSection.tcl.txt"
REFERENCE_PUSH_TCL = _ROOT / "data" / "Ex3.Canti2D.analyze.Static.Push.tcl.txt"
REFERENCE_EQ_TCL = _ROOT / "data" / "Ex3.Canti2D.analyze.Dynamic.EQ.Uniform.tcl.txt"
def _ground_motion_values() -> list[float]:
return parse_plain_values(GROUND_MOTION_FILE)
def build_ex3_canti2d_inelastic_section() -> Project:
values = _ground_motion_values()
return Project(
meta=ProjectMeta(
name="OpenSees Ex 3 - Cantilever (Inelastic Section Build)",
author="OpenSees Wiki / Silvia Mazzoni & Frank McKenna",
description="Example 3 cantilever with aggregated uniaxial inelastic section and shared analysis files.",
units=UnitSystem.US_IN_KIP,
),
ndm=2, ndf=3,
nodes=[
Node(id=1, name="Base", coords=(0.0, 0.0, 0.0), restraint=(True, True, False, False, False, True)),
Node(id=2, name="Top", coords=(0.0, L_COL, 0.0), mass=(MASS, 1.0e-9, 0.0, 0.0, 0.0, 0.0)),
],
materials=[
Steel01(id=2, name="Flexural-Steel01", Fy=MY_COL, E0=EI_COL_CRACK, b=HARDENING_RATIO),
ElasticUniaxial(id=3, name="Axial-Elastic", E=EA_COL),
],
sections=[
SectionAggregator(id=1, name="Col-Section", pairings=[AggregatorDOF(material_id=3, dof="P"), AggregatorDOF(material_id=2, dof="Mz")]),
],
elements=[
ForceBeamColumn(id=1, name="Column", nodes=(1, 2), section_id=1, integration_points=NUM_INT_PTS, geom_transf="Linear"),
],
time_series=[
LinearTimeSeries(id=1, name="Gravity"),
LinearTimeSeries(id=200, name="Lateral"),
PathTimeSeries(id=400, name="BM68elc", dt=GROUND_DT, factor=GROUND_FACTOR, values=values, file_path=str(GROUND_MOTION_FILE.name)),
],
load_patterns=[
PlainLoadPattern(id=1, name="Gravity", time_series_id=1, nodal_loads=[NodalLoad(node_id=2, forces=(0.0, -P_COL, 0.0, 0.0, 0.0, 0.0))]),
PlainLoadPattern(id=200, name="Pushover-X", time_series_id=200, nodal_loads=[NodalLoad(node_id=2, forces=(H_LOAD, 0.0, 0.0, 0.0, 0.0, 0.0))]),
UniformExcitationPattern(id=400, name="GroundMotion-X", direction=1, accel_series_id=400),
],
analyses=[
StaticCase(id=1, name="Gravity", pattern_ids=[1], n_steps=N_GRAVITY, load_factor_increment=GRAVITY_STEP, system="BandGeneral", constraints="Plain", integrator="LoadControl", algorithm="Newton", test="NormDispIncr", tolerance=1e-8, max_iter=6),
PushoverCase(id=2, name="Push", preload_case_ids=[1], pattern_ids=[200], control_node=2, control_dof=1, target_disp=PUSH_TARGET, step_size=PUSH_STEP, base_nodes=[1], system="BandGeneral", constraints="Plain", algorithm="Newton", test="EnergyIncr", tolerance=1e-8, max_iter=6),
TransientCase(id=3, name="Earthquake", preload_case_ids=[1], pattern_ids=[400], dt=ANALYSIS_DT, n_steps=ANALYSIS_STEPS, system="SparseGeneral", constraints="Transformation", integrator="Newmark", integrator_params=(0.5, 0.25), algorithm="ModifiedNewton", test="EnergyIncr", tolerance=1e-8, max_iter=10, rayleigh_mode1_damping=DAMPING_RATIO),
],
)
def main() -> None:
project = build_ex3_canti2d_inelastic_section()
project.validate_references()
print(f"Built '{project.meta.name}'")
print(f" Build Tcl: {REFERENCE_BUILD_TCL.name}")
print(f" Analysis Tcls: {REFERENCE_PUSH_TCL.name}, {REFERENCE_EQ_TCL.name}")
out_path = Path(__file__).with_suffix(".osmodel")
save_project(project, out_path)
print(f"Saved -> {out_path}")
restored = load_project(out_path)
restored.validate_references()
assert restored.model_dump(by_alias=True) == project.model_dump(by_alias=True)
print("Round-trip OK.")
if __name__ == "__main__":
main()