UNIVERSITY OF VICTORIA · GRADUATE RESEARCH

Laser Vibrometry & Operational Modal Analysis
of a Micromilling System

Non-contact vibration measurement and modal identification of a high-speed micromilling system using Laser Doppler Vibrometry, acoustic excitation, and output-only system identification.

Research Overview

Identifying micromilling dynamics without contact sensors

The objective of this work was to identify the dynamic characteristics of a micromilling tool using non-contact vibration measurements under operational excitation.

A Laser Doppler Vibrometer was used to measure tool-tip response, while Operational Modal Analysis was applied to estimate natural frequencies and damping from measured vibration signals.

Research focus

  • Non-contact vibration sensing
  • Laser Doppler Vibrometry
  • Acoustic excitation
  • Operational Modal Analysis
  • Correlation and spectral analysis
  • Harmonic separation
  • Modal parameter estimation
Experimental Platform

ALIO high-precision micromilling system

The experiments were conducted on an ALIO micromilling machine equipped for high-speed small-scale machining and vibration characterization.

ALIO high-precision micromilling machine
ALIO micromilling system used for vibration and modal-analysis experiments.
Non-Contact Measurement

Laser Doppler Vibrometry

Laser Doppler Vibrometry enabled vibration measurement at the tool without mounting a sensor directly on the small and lightweight cutting structure.

This avoided sensor mass loading and made the technique well suited for measuring high-frequency micromilling dynamics.

Polytec Laser Doppler Vibrometer used in the experiment
Polytec Laser Doppler Vibrometer measurement system used for non-contact tool-tip vibration sensing.
Excitation

Acoustic excitation for operational modal analysis

Broadband acoustic excitation was used to excite the micromilling structure while the LDV measured the resulting tool-tip velocity response.

Laser Doppler Vibrometer and acoustic excitation setup
LDV and acoustic-excitation configuration. The laser beam is directed at the micromilling tool while speakers provide broadband excitation.
Dynamic Model

Tool dynamics represented as a flexible structure

The micromilling tool and support were modeled through structural vibration modes characterized by natural frequency and damping.

Modal identification from measured response data provided a direct bridge between physical vibration behavior and mathematical system representation.

Simplified structural model of micromilling tool dynamics
Simplified representation of the flexible micromilling structure used to interpret measured dynamic response.
Measured Response

Tool-tip vibration under broadband excitation

The LDV measured the time-domain velocity response of the tool while acoustic excitation supplied broadband energy across the frequency range of interest.

Measured tool-tip velocity response under acoustic excitation
Measured LDV velocity response during acoustic excitation.
Signal Processing

Correlation-based modal identification

Operational Modal Analysis relies on measured response rather than a directly measured excitation force.

The correlation function of the response was used as a representation of the system's free-decay behavior, enabling modal frequencies and damping to be estimated from output-only measurements.

Correlation function of measured vibration response
Correlation function derived from the measured vibration response.
Quantitative Result

OMA reproduced the dominant structural mode

The dominant mode identified from output-only vibration measurements closely matched the reference result obtained using conventional impact testing.

Method Dominant Frequency Damping Ratio
Impact / EMA Reference 2354.6 Hz ~0.27%
Operational Modal Analysis 2366.3 Hz 0.1864%

Result

The dominant OMA frequency differed from the impact-test reference by approximately 0.5%, demonstrating that the non-contact output-only measurement captured the principal structural mode with close agreement.

Operational Challenge

Spindle harmonics complicate modal identification

As spindle speed increases, deterministic harmonics from spindle rotation appear in the measured spectrum and may overlap with structural vibration modes.

Power spectral density at several micromilling spindle speeds
Power spectral density at 0, 10,000, 40,000, and 60,000 rpm. Spindle harmonics become clearly visible as operating speed increases.

Why this matters

Harmonic components may be misidentified as structural modes or bias the estimated modal parameters, particularly when a harmonic frequency lies close to a natural frequency.

Harmonic Separation

Modified LSCE identification

To distinguish structural dynamics from deterministic spindle harmonics, known harmonic frequencies were incorporated explicitly into the identification process.

Modified LSCE modal identification result
Modified LSCE stabilization result showing modal identification in the presence of nearby spindle harmonics.
PROBLEM

Harmonic contamination

Undamped spindle harmonics can dominate the spectrum and interfere with structural-mode identification.

METHOD

Explicit harmonic modeling

Modified LSCE incorporated the known harmonic frequencies as undamped poles so that damped structural modes could be identified separately.

Research Workflow

Measurement to modal parameters

01 Acoustic Excitation
→
02 LDV Measurement
→
03 Correlation / PSD
→
04 OMA
→
05 Harmonic Separation
→
06 Modal Parameters
Broader Engineering Relevance

Sensing, estimation, and physical-system identification

This research strengthened my experience in non-contact sensing, vibration measurement, signal processing, experimental system identification, and validation against physical reference measurements.

These methods later transferred naturally into sensor-driven robotics work, where physical-system behavior must similarly be inferred from noisy measurements.

Methods & tools

  • Laser Doppler Vibrometry
  • Operational Modal Analysis
  • Experimental Modal Analysis
  • MATLAB signal processing
  • Correlation functions
  • Power spectral density
  • Modified LSCE
  • Harmonic separation
  • Modal parameter estimation
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