Operational Modal Analysis

Structural Dynamics Revealed

Professional-grade OMA software with 400+ algorithms for identifying natural frequencies, damping ratios, and mode shapes from ambient vibration data.

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8+
OMA Algorithms
3D
Visualization
Auto
Modal ID
Data Import
FDD Analysis
SSI-COV
Validation
3D Modes
Export

400+

Unique Algorithms

97+

UI Modules

5

Damping Methods

7

FEA Model Types

14

Chart Types

Features

Complete Modal Analysis Toolkit

Everything you need for structural dynamics characterization, from data import to professional reporting.

Spectral Analysis

Advanced FFT with 8 window functions (Hanning, Hamming, FlatTop, Kaiser, Chebyshev), Welch averaging, and CZT zoom for detailed frequency analysis.

Candidate Gateway

Manual candidate workflow: FDD, SSI, TOMA, and NExT-ERA evidence flow through one downstream gateway for validation and results.

Multi-Method Validation

MAC, AutoMAC, CrossMAC, and COMAC metrics. MPC, MPD, and MQI quality indicators. Spatial aliasing detection and mode complexity analysis.

3D Mode Visualization

Babylon.js 7.0 engine with 12+ parametric shapes, sinusoidal animation, damping envelope display, complex mode phase visualization, and color mapping.

Consensus Damping

5 damping estimation methods (HPB, EFDD log-decrement, exponential fit, CFDD grid search, SSI poles) with inverse-variance weighted fusion.

Professional Reports

PDF export with comprehensive results, peak lists, chart exports, and project serialization in JSON format for full state preservation.

Algorithms

Industry-Standard OMA Methods

Comprehensive implementation of proven algorithms from academic literature, optimized for different data conditions.

Frequency Domain Methods

FDD Frequency Domain Decomposition using SVD of cross-spectral matrices. Fast and robust for well-separated modes.
EFDD Enhanced FDD with time-domain damping via autocorrelation decay and logarithmic decrement analysis.
CFDD Curve-Fit FDD with SDOF model fitting using coarse/fine grids and gradient descent for improved accuracy.
FSDD Frequency-Spatial Domain Decomposition leveraging spatial coherence for closely-spaced mode separation.

Time Domain Methods

SSI-COV Covariance-driven Stochastic Subspace Identification. Most robust method with O = U·√S weighting.
SSI-DATA Data-driven SSI. Fastest implementation, unweighted, ideal for large datasets.
SSI-UPCX Flexible weighting schemes (UPC/PC/CVA) with Jacobian-based uncertainty quantification.
NExT-ERA Natural Excitation + Eigensystem Realization Algorithm for robust modal parameter identification.

Advanced Methods

TOMA Transmissibility-based OMA works with non-white (harmonic) excitation. Multi-reference with automatic selection.
Hilbert Instantaneous frequency and damping via analytic signal processing for nonlinear analysis.
CWT Continuous Wavelet Transform with Morlet wavelets for non-stationary signals and time-varying parameters.

Nonlinearity Detection

Bicoherence Third-order spectral analysis for quadratic nonlinearity. Normalized 0-1 scale coupling strength.
Coupling Detect quadratic (f1+f2), harmonic (n·f), and combination coupling from cracks or loose joints.
Quality Mode quality recommendations: 'Linear OK', 'Caution', or 'Significant Nonlinearity' classification.
Signal Processing

Advanced DSP Capabilities

Comprehensive signal processing toolkit integrated from DSP Master for optimal data preparation.

Digital Filters

  • Butterworth (maximally flat)
  • Bessel (linear phase)
  • Chebyshev I & II
  • Elliptic (Cauer)
  • Zero-phase filtfilt

Window Functions

  • Hann, Hamming, Blackman
  • Kaiser (adjustable β)
  • FlatTop (amplitude accuracy)
  • Chebyshev (sidelobe control)
  • Bartlett, Rectangular

Spectral Analysis

  • FFT/IFFT with zero-padding
  • Cross-Spectral Density (Welch)
  • CZT zoom capability
  • Goertzel algorithm
  • Spectral variance & confidence

Signal Quality

  • RMS, Peak-to-Peak, Crest Factor
  • Kurtosis (impulse detection)
  • SNR estimation
  • Stationarity checks
  • Clipping & DC offset detection
Validation

Ensure Your Modes Are Real

Comprehensive validation metrics distinguish physical modes from computational artifacts and noise.

Modal Assurance Criteria

Industry-standard MAC metrics with greedy pairing and Hungarian algorithm for optimal mode matching between different analysis methods.

  • MAC — |φ₁·φ₂|² / (|φ₁|²·|φ₂|²) correlation between mode shapes
  • AutoMAC — Self-correlation matrix for orthogonality verification
  • CrossMAC — FDD vs SSI cross-method comparison
  • COMAC — Per-DOF consistency identification for sensor issues

Mode Quality Indicators

  • MPC — Modal Phase Collinearity (0=complex, 1=real normal mode)
  • MPD — Mean Phase Deviation from reference axis
  • MQI — Composite quality score (0.4×MPC + 0.3×MPD + 0.3×σ)
1.00
0.12
0.08
0.05
0.03
0.15
0.98
0.11
0.07
0.04
0.09
0.14
0.96
0.18
0.06
0.06
0.10
0.21
0.94
0.35
0.04
0.05
0.08
0.32
0.91

MAC Matrix: FDD vs SSI Mode Comparison

High (>0.9)
Medium
Low (<0.3)
Workflow

Streamlined Analysis Pipeline

Seven logical sections guide you from raw data to validated modal parameters.

1

Data Setup

CSV import with smart delimiter detection

2

Signal Quality

RMS, SNR, stationarity assessment

3

Processing

Filtering, detrending, windowing

4

Analysis

FDD, SSI, or advanced algorithms

5

Validation

MAC, COMAC, quality metrics

6

Results

Modal parameters, comparison

7

Visualization

3D mode shapes, animation

FEA Integration

Finite Element Model Support Coming Soon

Generate pre-test predictions and calibrate models against experimental data. This module is under active development.

7 Model Generators

Shear building, stick-diaphragm, frame mesh, footbridge, tower, cantilever, and custom geometry support.

Eigenvalue Solver

Generalized eigenvalue problem K·φ = λ·M·φ with consistent or lumped mass matrices.

Model Calibration

BFGS gradient optimization and grid search for stiffness parameters. MAC-based mode pairing with Hungarian algorithm.

Applications

Built for Real-World Structures

Modal Master serves engineers across industries for dynamic characterization and structural health monitoring.

Buildings

Story stiffness estimation, damage detection, and seismic risk assessment.

Bridges

Long-term SHM, load rating validation, and flutter analysis.

Aerospace

GVT validation, FEM updating, and flight flutter clearance.

Wind Turbines

Tower resonance monitoring and blade fatigue assessment.

Pricing

Choose Your Edition

Software license options for professional engineers, research groups, and enterprise teams.

Most Popular

Modal Master Core

€1,990 / year

Core frequency-domain OMA, validation, and reporting tools

  • FDD and EFDD
  • SSI-COV with Stabilization Diagrams
  • MAC, AutoMAC, CrossMAC, COMAC
  • Peak Quality and Harmonic Checks
  • 3D Mode Visualization
  • HVSR Site Characterization
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Full Suite

Modal Master Pro

€4,990 / year

Advanced OMA algorithms, automated identification, and diagnostics

  • All Core Features
  • FSDD and CFDD
  • SSI-DATA
  • 8-Stage Automatic OMA
  • Unified Clustering and Batch Processing
  • Consensus Damping
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Advanced Research

Modal Master Research

Custom

Full research algorithm set for one licensed seat

  • All Pro Features
  • TOMA and NExT-ERA
  • SSI-UPCX with UPC/PC/CVA
  • Hilbert and CWT Damping
  • Bispectral Nonlinearity Analysis
  • Jacobian Uncertainty Quantification
Request Quote

Custom academic, research, and enterprise quotes are software-license quotes based on edition, seat count, term length, support tier, and academic eligibility. Paddle purchases are software licenses only and do not include consulting, implementation, training, custom development, or other human-driven services.

More Editions Coming Soon
DSP Edition

Signal processing toolkit without OMA

Coming Soon
SHM Edition

Continuous structural health monitoring

Coming Soon
EMA Edition

Lab and experimental modal testing

Coming Soon
Signal Generator

Signal generation and synthesis toolkit

Coming Soon
Technical

Technical Specifications

Platform & Requirements

  • Operating System Windows 10/11 x64
  • Memory 8 GB minimum
  • Display 1920×1080 recommended
  • Framework Chromium Embedded

Data Formats

  • Import CSV (auto-parsed)
  • Project Files JSON serialization
  • 3D Geometry STL, OBJ, JSON
  • Reports PDF, Excel, CSV

Libraries & Engine

  • Backend Delphi (67+ units)
  • Frontend React 18, ES6 Modules
  • Charts ECharts 5.4, uPlot 1.6
  • 3D Engine Babylon.js 7.0

Get in Touch

Ready to get started? Have questions about our editions? We'd love to hear from you.

Or email us directly at info@modalmaster.com