University of Nebraska-Lincoln
Research Area
Vision
The Moore Dynamics and Analytics Laboratory (MoDAL) synergistically combines theory, mathematical and computational modeling, and experimentation to understand and exploit strongly nonlinear dynamical phenomena. Our vision is to place nonlinear dynamics in the toolbox of every vibration engineer. Our approach is to leverage data, machine learning, and autonomy to remove barriers for utilizing and understanding nonlinearity.
Active Research Directions
Active areas of research include:
- Physics-based, data-driven modeling and discovery of governing equations directly from measurements[1][2][3].
- AI-based automated testing of mechanical structures[4].
- Reduced-order modeling of nonlinear structures [5][6].
- Nonlinear energy flows in mechanical structures[7][8][9].
- Novel vibration mitigation strategies employing nonlinearities[10].
- Advanced signal processing for nonlinear time series data[11][12].
- Applications of nonlinear dynamics and vibrations to novel fields (e.g., wave-induced vibrations of ships).
Equipment
Digital Image Correlation (DIC)
We have a high-speed 3D DIC system for non-contact measurements for systems where discrete sensors affect the dynamics, can't be used due to geometry, or where full-field data is needed. The cameras can record up to 500,000 frames per second (FPS) at reduced resolution and at 4,000 FPS at a 1-megapixel resolution. We typically film vibrations and dynamic responses around 4k to 10k FPS. We have previously performed measurements on strongly nonlinear vibrating structures and high-speed catastrophic failure (e.g., 3D-printed pressure vessel exploding).
Equipment List
VIC-3D Digital Image Correlation System (Correlated Solutions):
- Two Photron AX100 540K-M-32GB (1024 x 1024 @ 4,000 fps) high-speed digital cameras
- Lenses: two Nikon 24mm wide angle manual focus, two Nikon 50mm, and two Tokina 100mm 1:1 macro lenses
- One 6000 Lumen High-Speed LED lighting System with Flood Controller
- Workstation with rackmount Quad-core PC, 64GB RAM, Win 10 64 bit, 1TB SSD, 8TB HD, dual 24" LCD monitors
- One 8-channel USB analog data acquisition system for high-speed measurements with a maximum sampling rate of 1 MS/s (National Instruments NI 6361)
- Accompanying accessories (cases, speckle paint, etc.)
Videos
Standard Vibration Measurement Equipment
- Thirty-six channel data acquisition and digital signal processing hardware (24 input and 12 programmable channels), 80kHZ bandwidth, 24-bit ADC (Data Physics Abacus 906)
- Full SignalCalc DP900 software suite for Data Physics DAQ and modal shaker
- One modal test shaker, 18 lbf (80 N) maximum force, 1 in (25.4 mm) maximum displacement, 60 in/s (1.5 m/s) max velocity, with accompanying amplifier (Data Physics SignalForce GW-M20/PA100EC)
- Thirty-five uniaxial and ten triaxial accelerometers (PCB 353B15 and 356A03)
- Eight-channel, ICP sensor signal conditioner (PCB 483C05)
- Four modally tuned impact hammers of various load ratings (PCB 086E80, 086C03, 086D05, and 086D20)
Current Members
Researcher | Research |
---|---|
Keegan Moore | MoDAL director. Focus on nonlinear dynamics and vibrations, data analytics, data-driven modeling, machine learning, reduced-order modeling, passive redirection of mechanical energy, and others. |
Cristian López | PhD student studying data-driven nonlinear system identification. |
Manal Mustafa | PhD student investigating the effect of mass on energy exchanges in nonlinear oscillators and the passive manipulation of energy flows in nonlinear structures. |
Javier Arroyo | PhD student studying the physics of bolted joint loosening. |
Felipe Kobayashi | PhD student working on physics-based, reduced-order modeling of bolted joint loosening. |
Geoffrey Soneson | PhD student working on solitary wave control using engineered defects in metamaterials. |
Mohammad Nasr | MS student working on smart, predictive automatic modal impact hammers. |
Data-driven Nonlinear Dynamics and Vibrations Course
The lectures from our course titled "Data-driven Nonlinear Dynamics and Vibrations" can be accessed through YouTube.
References
- ↑ K.J. Moore, “Characteristic Nonlinear System Identification: A Data-driven Approach for Local Nonlinear Attachments,” Mechanical Systems and Signal Processing, 131:335347, 2019. [1]
- ↑ A. Singh, K.J. Moore, “Characteristic Nonlinear System Identification of Clearance Nonlinearities in Local Attachments,” Nonlinear Dynamics, 102:1667-1684, 2020. [2]
- ↑ A. Singh, K.J. Moore, “Identification of Multiple Local Nonlinear Attachments Using a Single Measurement,” Journal of Sound and Vibration, 513:116410, 2021. [3]
- ↑ A. Singh, K.J. Moore, “An Open-source, Scalable, Low-cost Automatic Modal Hammer for Studying Nonlinear Dynamical Systems,” Experimental Techniques, 46:775-792, 2022. [4]
- ↑ K.J. Moore, “A Reduced-order Model for Loosening Mechanics of Axial Joints,” ASME Journal of Applied Mechanics, 86(12):121007, 2019. [5]
- ↑ S. Aldana, K.J. Moore, “Dynamic Interactions Between Two Axially Aligned Threaded Joints Undergoing Loosening,” Journal of Sound and Vibration, 520:116625, 2022. [6]
- ↑ C. Wang, G. Yãnez González, C. Wittich, K.J. Moore, “Energy Isolation in a Multi-floor Nonlinear Structure Under Harmonic Excitation,” Nonlinear Dynamics, 110:20492077, 2022. [7]
- ↑ C. Wang 3, K.J. Moore, “On Nonlinear Energy Flows in Nonlinearly Coupled Oscillators with Equal Mass,” Nonlinear Dynamics, 103:343-366, 2021. [8]
- ↑ C. Wang, E. Krings, A.T. Allen, E.J. Markvicka, K.J. Moore, “Low-to-High Frequency Targeted Energy Transfer Using a Nonlinear Energy Sink with Softening-hardening Nonlinearity,” International Journal of Non-linear Mechanics, 147:104194, 2022. [9]
- ↑ C. Wang, J.D. Brown, A. Singh, K.J. Moore, “A Two-dimensional Nonlinear Vibration Absorber Using Elliptical Impacts and Sliding,” Mechanical Systems and Signal Processing, 189:110068, 2023. [10]
- ↑ C. López, D. Wang, Á. Naranjo, K.J. Moore, “Box-Cox-Sparse-Measures-Based Blind Filtering: Understanding the Difference between the Maximum Kurtosis Deconvolution and the Minimum Entropy Deconvolution,” Mechanical Systems and Signal Processing, 165:108376, 2022. [11]
- ↑ C. López, Á. Naranjo, K.J. Moore, “Hidden Markov Model based Stochastic Resonance and Its Application to Bearing Fault Diagnosis,” Journal of Sound and Vibration, 528:116890, 2022. [12]