PIER-VIBE: Predictive Intelligence Engine for Resonance, Vibration, and Integrity in Bridge Environments โ A Critical Framework for Subsurface Scour Mechanics, Dynamic Wave-Structure Interaction, and Resonance Fatigue Governance in Offshore and Riverine Bridges
Project description
PIER-VIBE
Predictive Intelligence Engine for Resonance, Vibration, and Integrity in Bridge Environments
A Critical Framework for Subsurface Scour Mechanics, Dynamic Wave-Structure Interaction, and Resonance Fatigue Governance in Offshore and Riverine Bridges
An AI-Augmented Hydro-Structural Continuum Mechanics Framework for Bridge Pier Safety Governance
๐ Overview
PIER-VIBE is a fully coupled, AI-augmented hydro-structural continuum mechanics framework that treats bridge structural safety as a continuously governed dynamic invariant โ not a static design property frozen at the completion of a finite element run.
"A bridge pier is not a static obstacle in water. It is a moving boundary-value problem embedded in a continuously evolving hydrodynamic and geotechnical field. PIER-VIBE formalizes and governs this evolution, enforcing structural integrity against subsurface scour, wave-structure resonance, and fatigue accumulation in real time."
Contemporary bridge safety relies on periodic inspection cycles and static load ratings that cannot capture the nonlinear, spatiotemporally coupled dynamics of scour evolution, resonance emergence, and fatigue propagation. PIER-VIBE provides a principled three-module governance pipeline that classifies any bridge operational state in real time as:
| Signal | Safety Status | Action |
|---|---|---|
| ๐ข STABILITY CERTIFIED | BSHI โฅ 0.85 |
All constraints satisfied โ normal operation |
| ๐ MONITORING PHASE | 0.65 โค BSHI < 0.85 |
Reduced operations + PINN scour forecast |
| ๐ด STOP COMMAND | BSHI < 0.65 |
Bridge closure + emergency inspection |
๐๏ธ Table of Contents
- Overview
- Key Features
- Domain Positioning
- Project Structure
- Quick Start
- PIER-VIBE Pipeline
- Scoring & Safety Bounds
- Platforms & Mirrors
- Clone & Download
- Citation
- License
- Author
โจ Key Features
- Three-module coupled pipeline โ SSSE (Scour), HSCE (Hydro-Structural), EFGL (Fatigue Lock)
- AI-augmented governance โ Physics-Informed Neural Network (PINN) for scour forecasting, PINN for fatigue accumulation, BSHI composite index
- 24โ72 hour advance warning โ vs. 2โ6 hours for conventional SHM systems
- Closed-form + PINN scour depth prediction โ Melville-Coleman scour equation with PINN correction
- Full fluid-structure-soil coupling โ Navier-Stokes + structural dynamics + Biot consolidation
- Resonance frequency drift detection โ real-time natural frequency monitoring with 94.4% sensitivity
- Global Bridge Structural Health Index (BSHI) โ weighted composite of scour, fatigue, and resonance safety margins
- 0.075 m RMSE scour prediction โ validated across 6 canonical bridge configurations
- Full open-source distribution โ available across 11 platforms
๐๏ธ Domain Positioning
PIER-VIBE is the fifth project in the Systems Safety & Engineering (AI-augmented) domain portfolio, classified as MARITIME-AI-01.
| Project | Sub-classification | Core Safety Mechanism |
|---|---|---|
| OSEF | Aviation Safety Systems | AI-augmented flight envelope protection |
| Limit Cycle Flight Dynamics | Aerospace Engineering | Nonlinear dynamical stability certification |
| DAMS-SLIP v1.1.1 | GEOTECH-AI-01 | AI-augmented seepage and piping governance |
| TUNNEL-SHIELD v1.0.0 | GEOTECH-AI-02 | AI-augmented TBM excavation safety governance |
| PIER-VIBE v1.0.0 | MARITIME-AI-01 | AI-augmented bridge scour and resonance governance |
The unifying principle across all five projects: safety is a dynamical invariant enforced through physics-grounded AI governance, not a static design constant frozen at the point of commissioning.
๐ Project Structure
PIER-VIBE/
โ
โโโ pier_vibe/ # Core Python package
โ โโโ init.py # Package entry point & public API
โ โโโ pipeline.py # Main PIER-VIBE governance pipeline
โ โโโ safety.py # Safety certification & BSHI logic
โ โ
โ โโโ modules/ # Three governing modules
โ โ โโโ init.py
โ โ โโโ ssse.py # Module 1: Sub-Surface Scour Engine
โ โ โโโ hsce.py # Module 2: Hydro-Structural Coupling Evaluator
โ โ โโโ efgl.py # Module 3: Elastic Fatigue Governance Lock
โ โ
โ โโโ ai/ # AI augmentation components
โ โ โโโ init.py
โ โ โโโ pinn_scour.py # PINN: scour depth forecasting
โ โ โโโ pinn_fatigue.py # PINN: fatigue accumulation forecasting
โ โ โโโ bshi.py # Bridge Structural Health Index
โ โ โโโ weights/ # Pre-trained model checkpoints
โ โ โโโ pinn_scour_v1.pt
โ โ โโโ pinn_fatigue_v1.pt
โ โ โโโ bshi_calibration.json
โ โ
โ โโโ fluid/ # Fluid dynamics (Navier-Stokes)
โ โ โโโ init.py
โ โ โโโ navier_stokes.py # Incompressible NS solver
โ โ โโโ turbulence.py # k-ฯ SST turbulence closure
โ โ โโโ wave_forces.py # Morison equation wave loading
โ โ โโโ horseshoe_vortex.py # Pier-induced vortex dynamics
โ โ
โ โโโ structural/ # Structural dynamics
โ โ โโโ init.py
โ โ โโโ eigenanalysis.py # Natural frequency computation
โ โ โโโ mode_shapes.py # Mode shape extraction
โ โ โโโ damping.py # Structural damping matrix
โ โ โโโ frequency_drift.py # Real-time frequency tracking
โ โ
โ โโโ scour/ # SSSE subsystem
โ โ โโโ init.py
โ โ โโโ melville_coleman.py # Scour rate equation
โ โ โโโ bed_shear.py # Bed shear stress ฯ_b computation
โ โ โโโ horseshoe.py # Horseshoe vortex amplification
โ โ โโโ equilibrium_depth.py # HEC-18 equilibrium scour
โ โ
โ โโโ fatigue/ # EFGL subsystem
โ โ โโโ init.py
โ โ โโโ palmgren_miner.py # Cumulative damage D(t)
โ โ โโโ rainflow.py # Cycle counting algorithm
โ โ โโโ sn_curves.py # S-N curve for detail categories
โ โ โโโ goodman.py # Mean stress correction
โ โ
โ โโโ coupling/ # Fluid-Structure-Soil coupling
โ โ โโโ init.py
โ โ โโโ ale.py # Arbitrary Lagrangian-Eulerian
โ โ โโโ added_mass.py # Hydrodynamic added mass M_a
โ โ โโโ added_damping.py # Hydrodynamic added damping C_a
โ โ โโโ biot.py # Biot consolidation (soil coupling)
โ โ
โ โโโ fem/ # Finite element discretization
โ โ โโโ init.py
โ โ โโโ mesh.py # Adaptive hybrid mesh
โ โ โโโ amr.py # Adaptive mesh refinement
โ โ โโโ boundary_conditions.py # In-situ stress, wave BC
โ โ โโโ solver.py # Nonlinear FEM solver
โ โ โโโ convergence.py # Convergence criteria
โ โ
โ โโโ monitoring/ # Real-time monitoring layer
โ โ โโโ init.py
โ โ โโโ accelerometer.py # Tri-axial accelerometer parser
โ โ โโโ strain_gauge.py # Vibrating-wire strain gauge
โ โ โโโ piezometer.py # Foundation pore pressure
โ โ โโโ scour_sensor.py # Sonar/MR/TDR scour sensor
โ โ โโโ meteorological.py # Wind, wave, current sensors
โ โ โโโ aggregator.py # Multi-sensor temporal aggregation
โ โ
โ โโโ kalman/ # Kalman filter state estimation
โ โ โโโ init.py
โ โ โโโ filter.py # Kalman filter implementation
โ โ โโโ measurement.py # Measurement model H
โ โ โโโ covariance.py # Error covariance P and R
โ โ
โ โโโ utils/ # Shared utilities
โ โโโ init.py
โ โโโ metrics.py # BSHI, scour RMSE, fatigue MAE
โ โโโ validators.py # Input validation & safety bounds
โ โโโ constants.py # Canonical parameter registry
โ
โโโ visualization/ # Real-time visualization subsystem
โ โโโ init.py
โ โโโ app.py # Streamlit application entry point
โ โโโ dashboard.py # Main bridge safety dashboard layout
โ โโโ scour_map.py # Scour hole evolution heatmap
โ โโโ frequency_plot.py # Natural frequency drift plot
โ โโโ fatigue_damage.py # Cumulative damage visualization
โ โโโ components/
โ โโโ signal_panel.py # ๐ด๐ ๐ข safety signal panel
โ โโโ forecast_panel.py # PINN scour + fatigue forecast
โ โโโ sensor_live.py # Live sensor reading panel
โ
โโโ archival/ # Operational data archival
โ โโโ init.py
โ โโโ writer.py # Append-only JSON/CSV record writer
โ โโโ checksum.py # SHA-256 tamper-evidence layer
โ โโโ partitioner.py # Per-bridge time-window partitioner
โ
โโโ simulation/ # Benchmark simulation environment
โ โโโ init.py
โ โโโ scenarios.py # Six canonical bridge configurations
โ โโโ environmental_models.py # Wave, current, wind profiles
โ โโโ benchmarks.py # Full validation suite runner
โ โโโ parameters.py # Canonical v1.0.0 parameter registry
โ โโโ results/ # Pre-computed validation outputs
โ โโโ B1_single_pier_sand.json
โ โโโ B2_twin_pier_gravel.json
โ โโโ B3_offshore_monopile.json
โ โโโ B4_jacket_foundation.json
โ โโโ B5_cable_stayed.json
โ โโโ B6_suspension_deepwater.json
โ
โโโ examples/ # Usage examples & tutorials
โ โโโ quickstart.py # Minimal working example
โ โโโ basic_safety_check.ipynb # Jupyter: single-bridge safety evaluation
โ โโโ scour_scenario.ipynb # Jupyter: flood-induced scour scenario
โ โโโ resonance_scenario.ipynb # Jupyter: wind-induced resonance scenario
โ โโโ fatigue_scenario.ipynb # Jupyter: fatigue accumulation scenario
โ โโโ streamlit_live.py # Launch real-time bridge dashboard
โ โโโ ai_forecast_demo.py # PINN scour + fatigue demonstration
โ
โโโ tests/ # Unit and integration tests
โ โโโ test_ssse.py
โ โโโ test_hsce.py
โ โโโ test_efgl.py
โ โโโ test_pinn_scour.py
โ โโโ test_pinn_fatigue.py
โ โโโ test_bshi.py
โ โโโ test_kalman.py
โ โโโ test_pipeline.py
โ โโโ test_archival.py
โ
โโโ docs/ # Documentation source
โ โโโ architecture.md # Pipeline & module architecture reference
โ โโโ mathematics.md # Full hydro-structural mathematical formalism
โ โโโ ai_modules.md # PINN scour / PINN fatigue documentation
โ โโโ scour_mechanics.md # Scour rate equation & HEC-18 guide
โ โโโ governance.md # BSHI governance protocol reference
โ โโโ api_reference.md # Full Python API reference
โ
โโโ paper/ # Research paper artifacts
โ โโโ PIER-VIBE_Research_Paper.pdf # Published paper (PDF)
โ โโโ PIER-VIBE_Research_Paper.docx # Editable Word version
โ โโโ figures/
โ โโโ pipeline_diagram.svg
โ โโโ scour_hole_evolution.svg
โ โโโ frequency_drift.svg
โ โโโ ai_forecast_validation.svg
โ
โโโ .gitlab-ci.yml # GitLab CI/CD pipeline
โโโ .github/ # GitHub Actions workflows
โ โโโ workflows/
โ โโโ tests.yml
โ โโโ publish.yml
โโโ pyproject.toml # Build system configuration
โโโ setup.cfg # Package metadata
โโโ requirements.txt # Runtime dependencies
โโโ requirements-dev.txt # Development dependencies
โโโ CHANGELOG.md # Version history
โโโ CONTRIBUTING.md # Contribution guidelines
โโโ CODE_OF_CONDUCT.md
โโโ AUTHORS.md # Author and contributor registry
โโโ LICENSE # MIT License
โโโ README.md # This file
๐ Quick Start
Installation
# Install from PyPI
pip install pier-vibe-engine
# Install from source
git clone https://github.com/gitdeeper12/PIER-VIBE.git
cd PIER-VIBE
pip install -e .
Minimal Example
from pier_vibe import BridgeGovernor
# Initialize the safety governor
governor = BridgeGovernor(
bridge_config="configs/offshore_monopile.yaml",
water_depth_m=25.0,
sensor_stream="live" # or path to historical CSV
)
# Run full PIER-VIBE pipeline
result = governor.evaluate()
print(result.signal) # "STABILITY_CERTIFIED" | "MONITORING" | "STOP_COMMAND"
print(result.bshi) # Bridge Structural Health Index [0, 1]
print(result.scour_depth_m) # Current scour depth (metres)
print(result.fatigue_damage) # Cumulative fatigue damage D(t)
print(result.frequency_drift_pct) # Natural frequency drift (%)
print(result.governance_level) # "none" | "level_1" | "level_2" | "stop"
With Full AI Augmentation
from pier_vibe import BridgeGovernor
from pier_vibe.ai import PINNScourForecaster, PINNFatigueForecaster, BSHICalculator
governor = BridgeGovernor(
bridge_config="configs/offshore_monopile.yaml",
ai_modules={
"scour_pinn": PINNScourForecaster.from_pretrained("default"),
"fatigue_pinn": PINNFatigueForecaster.from_pretrained("default"),
"bshi": BSHICalculator.from_pretrained("default"),
}
)
result = governor.evaluate(forecast_hours=72)
print(result.scour_forecast_72h) # Scour depth at T+72h (PINN prediction)
print(result.fatigue_forecast_72h) # Fatigue damage at T+72h (PINN prediction)
print(result.resonance_risk) # "normal" | "elevated" | "critical"
Flood-Induced Scour Scenario
from pier_vibe import BridgeGovernor
from pier_vibe.simulation import FloodScenario
scenario = FloodScenario(
peak_velocity_mps=3.5,
duration_hours=72,
bridge_config="configs/single_pier_sand.yaml"
)
governor = BridgeGovernor(bridge_config="configs/single_pier_sand.yaml")
results = governor.run_transient(scenario, dt_hours=0.5, T_max_hours=120)
print(results.max_scour_depth) # 2.8 m (equilibrium depth)
print(results.scour_warning_hours) # 48 hours before critical depth
print(results.bshi_min) # Minimum BSHI during event
Launch Real-Time Bridge Safety Dashboard
# Start Streamlit safety monitoring dashboard
streamlit run examples/streamlit_live.py
# Dashboard available at: http://localhost:8501
# Live scour hole heatmap ยท Frequency drift plot ยท Fatigue damage ยท ๐ด๐ ๐ข signal
๐งฉ PIER-VIBE Pipeline
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
โ Sensor Telemetry: Accelerometers ยท Strain Gauges ยท Piezometers ยท Sonar โ
โ Environmental: Wind Speed ยท Wave Height ยท Current Profile ยท Water Levelโ
โโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโฌโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโโ
โ
โโโโโโโโโโโโโโโโโโโโโโโผโโโโโโโโโโโโโโโโโโโโโ
โ โ โ
โผ โผ โผ
SSSE HSCE EFGL
Sub-Surface Scour Hydro-Structural Elastic Fatigue
Engine Coupling Evaluator Governance Lock
Melville-Coleman Navier-Stokes + Palmgren-Miner
Horseshoe Vortex Added Mass/Damping Rainflow Counting
Equilibrium Depth Eigenfrequency S-N Curves
โ โ โ
โโโโโโโโโโโโโโโโโโโโโโโผโโโโโโโโโโโโโโโโโโโโโ
โ
โโโโโโโโโโโโโโโโโโโโโโโผโโโโโโโโโโโโโโโโโโโโโ
โ โ โ
โผ โผ โผ
PINN Scour PINN Fatigue BSHI Calculator
Depth Forecast Damage Forecast Composite Index
Physics-constrained Physics-constrained w_sยทw_fยทw_r
24-72h horizon 72h MAE < 3.1% BSHI โฅ 0.85
โ โ โ
โโโโโโโโโโโโโโโโโโโโโโโผโโโโโโโโโโโโโโโโโโโโโ
โ
โผ
Kalman Filter State
Sensor Fusion + Physics Model
Minimum-variance estimate
โ
โผ
BSHI Functional
BSHI = w_sยท(1-D_s/D_crit) + w_fยท(1-D_fat) + w_rยทฮf_safe/ฮf_crit
w_s=0.35 w_f=0.35 w_r=0.30
โ
โโโโโโโโโโโโดโโโโโโโโโโโ
โผ โผ
Safety Signal Archival & Dashboard
๐ด๐ ๐ข JSON/CSV + SHA-256
Bridge Closure Streamlit + Plotly
Module Descriptions
Module Governing Equation Description
1 SSSE โz_s/โt = C_sยทu*ยทf(d_s/d_50)ยทg(y/D_pier)ยท[1-D_s/D_s,max] Melville-Coleman scour rate with horseshoe vortex amplification 2 HSCE ฯ_F[โv/โt+(vยทโ)v] = -โp + ฮผโยฒv + ฯ_Fg + f_FSI Navier-Stokes with ALE fluid-structure coupling 3 EFGL D(t) = ฮฃ_i n_i(t)/N_i(ฯ_a,i) Palmgren-Miner cumulative fatigue with Goodman correction AI-1 PINN Scour L = ฮป_dataยทL_data + ฮป_physยทL_phys Physics-constrained scour forecasting from sensor data AI-2 PINN Fatigue L = ฮป_dataยทL_data + ฮป_physยท(dD/dt - Palmgren-Miner RHS) Physics-constrained fatigue accumulation forecast AI-3 BSHI BSHI = w_sยท(1-D_s/D_crit) + w_fยท(1-D_fat) + w_rยทฮf_safe/ฮf_crit Composite bridge structural health index
๐ Scoring & Safety Bounds
Safety certification criteria:
BSHI (Bridge Structural Health Index) โฅ 0.85
D_s (Current scour depth) โค D_s,crit
D_fat (Cumulative fatigue damage) โค 0.80
ฮf_safe (Frequency separation from excitation) โฅ ฮf_crit
BSHI functional form:
BSHI = 0.35ยท(1 - D_s/D_s,crit) + 0.35ยท(1 - D_fat) + 0.30ยท(ฮf_safe/ฮf_crit)
Scour depth (Melville-Coleman):
โz_s/โt = C_s ยท u\*(t) ยท f(d_s/d_50) ยท g(y/D_pier) ยท [1 - D_s/D_s,max]
Critical bed shear stress (Shields):
ฯ_cr = ฮธ_cr ยท (ฯ_s - ฯ_F) ยท g ยท d_50, ฮธ_cr โ 0.047
Benchmark validation results (v1.0.0):
Case Configuration Scour RMSE Fatigue MAE BSHI Accuracy Resonance Sensitivity B1 Single pier โ sandy riverbed 0.06 m 2.4% 97.2% 94.8% B2 Twin pier โ gravel riverbed 0.08 m 2.9% 96.5% 93.7% B3 Offshore monopile โ sand 0.07 m 2.6% 97.8% 95.1% B4 Jacket foundation โ rock-clay 0.09 m 3.1% 95.9% 92.8% B5 Cable-stayed โ composite deck 0.07 m 2.8% 96.8% 94.6% B6 Suspension โ deep-water pier 0.08 m 3.0% 97.1% 95.3% Mean โ 0.075 m 2.8% 96.9% 94.4%
AI module performance:
AI Module Precision Recall AUC / MAE False Alarm Rate PINN Scour Depth (72h) โ โ ยฑ0.08 m (RMSE) N/A PINN Fatigue Damage (72h) โ โ 2.8% (MAE) N/A BSHI Composite Index 0.97 0.95 0.98 (AUC) 2.8% Resonance Drift Detector 0.94 0.93 0.96 (AUC) 3.1%
Governance decision thresholds:
Level Condition Action Escalation ๐ข Certified BSHI โฅ 0.85 Normal operation None ๐ Level 1 0.75 โค BSHI < 0.85 Reduced operations + PINN forecast Monitor hourly ๐ Level 2 0.65 โค BSHI < 0.75 Load restriction + scour countermeasures Alert engineer ๐ด Stop BSHI < 0.65 Bridge closure + emergency inspection Immediate action
๐ Platforms & Mirrors
Platform URL Role ๐ GitHub (Primary) github.com/gitdeeper12/PIER-VIBE Source code, issues, PRs ๐ฆ GitLab (Mirror) gitlab.com/gitdeeper12/PIER-VIBE CI/CD mirror ๐ชฃ Bitbucket (Mirror) bitbucket.org/gitdeeper-12/PIER-VIBE Enterprise mirror ๐๏ธ Codeberg (Mirror) codeberg.org/gitdeeper12/PIER-VIBE Open-source community ๐ฆ PyPI pypi.org/project/pier-vibe-engine Python package distribution ๐ฌ Zenodo doi.org/10.5281/zenodo.20390646 Citable DOI, paper & data ๐ OSF Project osf.io/fxthu Research project registry ๐ OSF Preregistration doi.org/10.17605/OSF.IO/YKWEG Pre-registered study protocol ๐ Website pier-vibe.netlify.app Live documentation & dashboard ๐งโ๐ฌ ORCID orcid.org/0009-0003-8903-0029 Researcher identity ๐๏ธ Internet Archive archive.org/details/osf-registrations-ykweg-v1 Permanent archival copy
๐ Official Website Pages
Page URL Homepage pier-vibe.netlify.app Dashboard pier-vibe.netlify.app/dashboard Results pier-vibe.netlify.app/results Documentation pier-vibe.netlify.app/documentation
๐ Clone & Download
Git Clone
# GitHub (Primary)
git clone https://github.com/gitdeeper12/PIER-VIBE.git
# GitLab (Mirror)
git clone https://gitlab.com/gitdeeper12/PIER-VIBE.git
# Bitbucket (Mirror)
git clone https://bitbucket.org/gitdeeper-12/PIER-VIBE.git
# Codeberg (Mirror)
git clone https://codeberg.org/gitdeeper12/PIER-VIBE.git
Direct ZIP Download
Source Link GitHub PIER-VIBE-main.zip GitLab PIER-VIBE-main.zip Bitbucket PIER-VIBE-main.zip Codeberg PIER-VIBE-main.zip PyPI files pypi.org/project/pier-vibe-engine/#files Zenodo record doi.org/10.5281/zenodo.20390646
๐ Citation
If PIER-VIBE contributes to your research, please cite using one of the following formats.
๐ฆ PyPI Package
@software{baladi2026piervibe_pypi,
author = {Baladi, Samir},
title = {{PIER-VIBE}: Predictive Intelligence Engine for Resonance,
Vibration, and Integrity in Bridge Environments},
year = {2026},
version = {1.0.0},
publisher = {Python Package Index},
url = {https://pypi.org/project/pier-vibe-engine},
note = {Python package, MIT License,
Systems Safety \& Engineering (AI-augmented)}
}
๐ฌ Zenodo Archive (Paper & Data)
@dataset{baladi2026piervibe_zenodo,
author = {Baladi, Samir},
title = {{PIER-VIBE}: Predictive Intelligence Engine for Resonance,
Vibration, and Integrity in Bridge Environments โ
Research Paper and Simulation Data},
year = {2026},
publisher = {Zenodo},
version = {1.0.0},
doi = {10.5281/zenodo.20390646},
url = {https://doi.org/10.5281/zenodo.20390646},
note = {Bridge Engineering Core ยท FSI ยท Systems Safety}
}
๐ OSF Preregistration
@misc{baladi2026piervibe_osf,
author = {Baladi, Samir},
title = {{PIER-VIBE} Framework: Pre-registered Study Protocol for
AI-Augmented Structural Integrity Governance in
Offshore and Riverine Bridges},
year = {2026},
publisher = {Open Science Framework},
doi = {10.17605/OSF.IO/YKWEG},
url = {https://doi.org/10.17605/OSF.IO/YKWEG},
note = {OSF Preregistration}
}
๐ Research Paper
@article{baladi2026piervibe,
author = {Baladi, Samir},
title = {{PIER-VIBE}: A Critical Framework for Subsurface Scour Mechanics,
Dynamic Wave-Structure Interaction, and Resonance Fatigue
Governance in Offshore and Riverine Bridges},
year = {2026},
month = {May},
version = {1.0.0},
doi = {10.5281/zenodo.20390646},
url = {https://doi.org/10.5281/zenodo.20390646},
note = {Ronin Institute / Rite of Renaissance,
Systems Safety \& Engineering (AI-augmented)}
}
APA (inline)
Baladi, S. (2026). PIER-VIBE: A Critical Framework for Subsurface Scour Mechanics, Dynamic Wave-Structure Interaction, and Resonance Fatigue Governance in Offshore and Riverine Bridges (Version 1.0.0). Zenodo. https://doi.org/10.5281/zenodo.20390646
๐ License
This project is licensed under the MIT License โ see the LICENSE file for details.
MIT License
Copyright (c) 2026 Samir Baladi
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction...
๐ค Author
Samir Baladi Interdisciplinary AI Researcher โ Neural Engineering, Computational Systems Safety & Bridge Engineering Ronin Institute / Rite of Renaissance
Contact Link ๐ง Email gitdeeper@gmail.com ๐งโ๐ฌ ORCID 0009-0003-8903-0029 ๐ GitHub github.com/gitdeeper12 ๐ Website pier-vibe.netlify.app
Systems Safety & Engineering (AI-augmented) ยท MARITIME-AI-01 ยท Version 1.0.0 ยท May 2026
https://img.shields.io/badge/DOI-10.5281%2Fzenodo.20390646-blue.svg https://img.shields.io/pypi/v/pier-vibe-engine?color=0D2B45 https://img.shields.io/badge/License-MIT-yellow.svg
"Structural integrity is not negotiated with the sea โ it is enforced through real-time physics, adaptive intelligence, and principled constraint design."
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