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212 lines
6 KiB
Python
212 lines
6 KiB
Python
"""Time History Analysis of a 2D Elastic Cantilever Column.
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OpenSees Wiki tutorial / examples-manual variant:
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https://opensees.berkeley.edu/wiki/index.php?title=Time_History_Analysis_of_a_2D_Elastic_Cantilever_Column
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This example mirrors ``Ex1a.Canti2D.EQ.modif.tcl`` but expresses it in
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OTKO's declarative project model:
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- 2D frame (ndm=2, ndf=3), kip-in-sec units
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- One elastic cantilever column, fixed at the base
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- Gravity preload applied in 10 static LoadControl steps
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- Loma Prieta horizontal record ``A10000`` imported from a plain-text list
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- UniformExcitation in DOF 1 (+X)
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- Newmark average-acceleration transient with 2% mode-1 stiffness damping
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Run from the repository root:
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python examples/ex1a_canti2d_eq.py
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Produces ``examples/ex1a_canti2d_eq.osmodel``.
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"""
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from __future__ import annotations
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from pathlib import Path
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import sys
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if __package__ is None or __package__ == "":
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sys.path.insert(0, str(Path(__file__).resolve().parents[1] / "src"))
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from otko.core import (
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ElasticBeamColumn,
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ElasticSection,
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LinearTimeSeries,
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NodalLoad,
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Node,
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PathTimeSeries,
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PlainLoadPattern,
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Project,
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ProjectMeta,
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StaticCase,
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TransientCase,
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UniformExcitationPattern,
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UnitSystem,
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)
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from otko.services import load_project, save_project
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from otko.services.peer_record import parse_plain_values
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G = 386.0
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COLUMN_HEIGHT = 432.0
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TOP_WEIGHT = 2000.0
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TOP_MASS_X = 5.18
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AREA = 3600.0
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E_MODULUS = 3225.0
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IZ = 1_080_000.0
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GROUND_DT = 0.005
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ANALYSIS_DT = 0.01
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DAMPING_RATIO = 0.02
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_ROOT = Path(__file__).resolve().parent
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GROUND_MOTION_FILE = _ROOT / "data" / "A10000.txt"
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REFERENCE_TCL = _ROOT / "data" / "Ex1a.Canti2D.EQ.modif.tcl.txt"
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def _ground_motion_values() -> list[float]:
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return parse_plain_values(GROUND_MOTION_FILE)
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def build_ex1a_canti2d_eq() -> Project:
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values = _ground_motion_values()
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n_steps = len(values) // 2
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return Project(
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meta=ProjectMeta(
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name="2D Elastic Cantilever EQ (OpenSees Ex 1a)",
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author="OpenSees Wiki / Examples Manual",
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description=(
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"Elastic 2D cantilever with gravity preload + horizontal "
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"UniformExcitation time history from the A10000 record."
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),
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units=UnitSystem.US_IN_KIP,
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),
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ndm=2,
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ndf=3,
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nodes=[
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Node(
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id=1,
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name="Base",
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coords=(0.0, 0.0, 0.0),
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restraint=(True, True, False, False, False, True),
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),
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Node(
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id=2,
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name="Top",
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coords=(0.0, COLUMN_HEIGHT, 0.0),
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mass=(TOP_MASS_X, 0.0, 0.0, 0.0, 0.0, 0.0),
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),
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],
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sections=[
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ElasticSection(
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id=1,
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name="RC-Elastic",
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E=E_MODULUS,
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A=AREA,
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Iz=IZ,
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Iy=IZ,
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G=1.0,
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J=1.0,
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),
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],
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elements=[
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ElasticBeamColumn(
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id=1,
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name="Column",
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nodes=(1, 2),
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section_id=1,
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geom_transf="Linear",
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),
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],
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time_series=[
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LinearTimeSeries(id=1, name="Gravity"),
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PathTimeSeries(
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id=2,
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name="A10000",
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dt=GROUND_DT,
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factor=G,
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values=values,
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file_path=str(GROUND_MOTION_FILE.name),
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),
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],
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load_patterns=[
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PlainLoadPattern(
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id=1,
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name="Gravity",
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time_series_id=1,
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nodal_loads=[
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NodalLoad(
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node_id=2,
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forces=(0.0, -TOP_WEIGHT, 0.0, 0.0, 0.0, 0.0),
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),
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],
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),
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UniformExcitationPattern(
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id=2,
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name="GroundMotion-X",
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direction=1,
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accel_series_id=2,
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),
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],
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analyses=[
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StaticCase(
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id=1,
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name="Gravity",
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pattern_ids=[1],
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n_steps=10,
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load_factor_increment=0.1,
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system="BandGeneral",
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constraints="Plain",
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integrator="LoadControl",
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algorithm="Linear",
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test="NormDispIncr",
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tolerance=1e-12,
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max_iter=10,
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),
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TransientCase(
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id=2,
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name="Earthquake",
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preload_case_ids=[1],
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pattern_ids=[2],
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dt=ANALYSIS_DT,
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n_steps=n_steps,
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system="BandGeneral",
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constraints="Plain",
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integrator="Newmark",
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integrator_params=(0.5, 0.25),
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algorithm="Linear",
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test="NormDispIncr",
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tolerance=1e-12,
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max_iter=10,
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rayleigh_mode1_damping=DAMPING_RATIO,
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),
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],
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)
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def main() -> None:
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project = build_ex1a_canti2d_eq()
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project.validate_references()
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gm = next(ts for ts in project.time_series if ts.id == 2)
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assert isinstance(gm, PathTimeSeries)
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print(f"Built '{project.meta.name}'")
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print(f" Ground motion file: {GROUND_MOTION_FILE.name}")
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print(f" Reference Tcl: {REFERENCE_TCL.name}")
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print(f" Points: {len(gm.values)}, dt = {GROUND_DT}s, factor = g = {G}")
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print(
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f" Transient: {project.analyses[1].n_steps} steps at "
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f"{ANALYSIS_DT}s (every second record point)"
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)
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out_path = Path(__file__).with_suffix(".osmodel")
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save_project(project, out_path)
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print(f"Saved -> {out_path}")
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restored = load_project(out_path)
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restored.validate_references()
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assert restored.model_dump(by_alias=True) == project.model_dump(by_alias=True)
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print("Round-trip OK.")
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if __name__ == "__main__":
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main()
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