TOWER-CORE Documentation

Technical Documentation ยท API Reference ยท AI-Augmented Framework for Vertical Tower Safety

ยฑ2.83%
TSII Accuracy
0.90
Min TSII
95.4%
Freq. Detection
1.0
Version
3+3
Modules + AI

๐Ÿ“– Overview

"Structural integrity in a vertical tower is not a property frozen at commissioning โ€” it is a continuously evolving state requiring continuous quantitative assessment."

TOWER-CORE is a fully coupled, AI-augmented continuum mechanics framework that treats tower structural safety as a continuously governed dynamic invariant โ€” not a static design property frozen at the completion of a finite element run.

A vertical tower operating under sustained wind loading is not in static equilibrium. It is a dynamically evolving system accumulating fatigue damage, experiencing natural frequency drift, and approaching or receding from its overturning stability limit in real time. TOWER-CORE quantifies these changes continuously and governs the safety margin accordingly.

๐Ÿ—๏ธ 3-Module + 3 AI Architecture

Module 01 โ€” DFMM (Dynamic Frequency Monitoring Module)

SSI-COV ambient modal identification at ยฑ0.1% frequency resolution. Tracks natural frequency shift NFS_i(t) and resonance safety margin RSM_i(t) in real time from accelerometer data.

SSI-COV + Natural Frequency Shift
f_n(P) = fโ‚€ยทโˆš(1 - P/P_cr)
SSI-COV: Y = [y|yฬ‚] ยท SVD ยท modal extraction

Module 02 โ€” SJFAM (Structural Joint Fatigue Assessment Module)

ASTM E1049-85 rainflow cycle counting. Palmgren-Miner linear damage accumulation with Goodman mean stress correction. Eurocode FAT class S-N curves (FAT90, FAT100, FAT125).

Rainflow + Palmgren-Miner + Goodman
D_fatigue(t) = ฮฃ n_i/N_i(ฮ”ฯƒ_i)
ฯƒ_a,eq = ฯƒ_a / (1 - ฯƒ_m/ฯƒ_UTS)

Module 03 โ€” GSOAM (Global Stability & Overturning Module)

Davenport gust response factor for dynamic wind loading. P-delta geometric nonlinearity correction. Guyed mast tension and restoring force analysis.

Gust Response + P-delta
F_stability = M_restoring / (M_wind + M_oper)
ฮธ_stab = Pยทฮด / (EI/hยฒ) โ‰ค 0.10

Degradation โ€” S_deg (Stiffness Degradation Index)

Continuum damage mechanics model (Chaboche). ISO 9224 corrosion rate prediction. Remaining life estimation from modal frequency reduction.

Stiffness Degradation
S_deg = 1 - K_damaged/K_intact
T_rem = (A_rem - A_crit) / (dA/dt)

TSII โ€” Tower Structural Integrity Index

Weighted composite of stiffness degradation, overturning stability, and fatigue damage. Continuous real-time safety certification with 24-48h forecast.

TSII Formula
TSII = 0.40ยท(1-S_deg) + 0.35ยท(F_stab/1.50) + 0.25ยท(1-D_fatigue) โ‰ฅ 0.90

Sensor Fusion โ€” Kalman Filter State Estimation

Multi-sensor fusion: accelerometers, strain gauges, tiltmeters, anemometers. Outlier rejection and missing data interpolation.

Kalman Filter
xฬ‚(t|t) = xฬ‚(t|t-1) + K(t)[z(t) - Hยทxฬ‚(t|t-1)]
K(t) = P(t|t-1)ยทHแต€ยท[HยทPยทHแต€ + R]โปยน

๐Ÿ“ Core Equations

Eq. 1 โ€” Frequency Shift (DFMM)
f_n(P) = fโ‚€ยทโˆš(1 - P/P_cr)
Natural frequency under axial load
Eq. 2 โ€” Wind Load Distribution
F_wind(z,t) = 0.5ยทฯยทC_dยทA(z)ยท[V_mean(z) + v_turb(z,t)]ยฒ
Dynamic wind load with turbulence
Eq. 3 โ€” Fatigue Damage (SJFAM)
D_fatigue(t) = ฮฃ_i n_i(t)/N_i(ฮ”ฯƒ_i)
Palmgren-Miner accumulation
Eq. 4 โ€” Overturning Stability (GSOAM)
F_stability = M_restoring / (M_wind + M_operational)
Dynamic stability factor
Eq. 5 โ€” Stiffness Degradation
S_deg = 1 - (K_damaged / K_intact)
Corrosion + fatigue damage
Eq. 6 โ€” Tower Structural Integrity Index
TSII = 0.40ยท(1-S_deg) + 0.35ยท(F_stab/1.50) + 0.25ยท(1-D_fatigue)
Composite safety metric

โš™๏ธ TSII Governance Protocol

SignalConditionActionGovernance Level
๐ŸŸข STEADY STATETSII โ‰ฅ 0.90Normal operation โ€” continuous monitoringNone
๐ŸŸ  MONITORING PHASE 10.75 โ‰ค TSII < 0.90Enhanced monitoring frequency โ€” targeted inspectionLevel 1
๐ŸŸ  MITIGATION PHASE 20.65 โ‰ค TSII < 0.75Operational load restriction โ€” immediate structural reviewLevel 2
๐Ÿ”ด CRITICAL BREACHTSII < 0.65Immediate shutdown โ€” proximity zone evacuation โ€” emergency assessmentStop

๐Ÿ“ฆ Installation

bash โ€” pip install
pip install tower-core-engine

# From source
git clone https://github.com/gitdeeper12/TOWER-CORE.git
cd TOWER-CORE
pip install -e .

# Quick test
python -c "from tower_core import TowerCoreAssessor; print('TOWER-CORE ready')"

๐Ÿ”ง API Reference

python โ€” main interface
from tower_core import TowerCoreAssessor

# Initialize with tower configuration
assessor = TowerCoreAssessor(
    tower_config="configs/lattice_120m.yaml",
    sensor_stream="live"
)

# Run full TOWER-CORE pipeline
result = assessor.evaluate()

print(result.signal)              # "STEADY_STATE" | "MONITORING_PHASE_1" | "MITIGATION_PHASE_2" | "CRITICAL_BREACH"
print(result.tsii)                # Tower Structural Integrity Index [0, 1]
print(result.nfs)                 # Natural Frequency Shift (%)
print(result.fatigue_damage_max)  # Palmgren-Miner damage
print(result.f_stability)         # Overturning stability factor
print(result.governance_level)    # "none" | "level_1" | "level_2" | "stop"

TowerCoreAssessor Parameters

ParameterDescriptionDefaultDomain
tower_configPath to tower configuration YAML fileโ€”string
sensor_streamSensor source ("live" or file path)"live"string

๐Ÿ“Š Validation Summary

ScenarioTSII AccuracyFrequency DetectionFatigue MAEF_stab Error
V1 โ€” Guyed telecom mast (storm)ยฑ2.8%95.1%2.4%ยฑ4.1%
V2 โ€” Lattice tower (fatigue)ยฑ3.2%94.8%2.9%N/A
V3 โ€” Monopole (progressive)ยฑ2.5%96.3%1.8%ยฑ3.7%
MEANยฑ2.83%95.4%2.37%ยฑ3.9%

๐Ÿ‘ค Author

๐Ÿ—ผ
Samir Baladi
Principal Investigator โ€” AI-Augmented Structural Safety
Samir Baladi is an interdisciplinary researcher at the intersection of computational physics, biomedical AI, and engineering systems safety. Affiliated with the Ronin Institute and the Rite of Renaissance research program, his work spans three converging themes: the governance of dissipative AI systems (ENTRO-DASA), causal discrimination in data-driven models (COREX), and AI-augmented enforcement of structural safety constraints (DAMS-SLIP, TUNNEL-SHIELD, TOWER-CORE).
TOWER-CORE is the first project in the TOWER-SAFETY series (TOWER-SAFETY-01), applying cybernetic safety principles from aviation and aerospace to vertical tower structural integrity assessment.

๐Ÿ“ Citation

@software{baladi2026towercore, author = {Samir Baladi}, title = {TOWER-CORE: A Critical Framework for Structural Integrity Assessment, Dynamic Stability Monitoring, and Safety Governance in Vertical Tower Systems}, year = {2026}, version = {1.0.0}, publisher = {Zenodo}, doi = {10.5281/zenodo.20394041}, url = {https://doi.org/10.5281/zenodo.20394041}, note = {TOWER-SAFETY-01, Structural Safety & Reliability Engineering} }

"Structural integrity in a vertical tower is not a property frozen at commissioning โ€” it is a continuously evolving state requiring continuous quantitative assessment." โ€” TOWER-CORE v1.0.0