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20242026
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math.DS2026

Decomposition-based Energy-based Dual-Phase Dynamics Identification for Nonlinear MDOF Systems

Sayantan Ghosh, Cristian López, Aryan Singh +1

System identification is an important step in modeling and evaluating vibrating structures, but many nonlinear system identification methods rely heavily on data-driven approaches…

math.DS2026

Time-bandwidth Study of Non-classically Damped, Linear, Time-invariant Coupled Oscillators with Closely Spaced Modes

Luis M. Baldelomar Pinto, Alireza Mojahed, Sobhan Mohammadi +3

In dynamics and vibrations, the concept of bandwidth for linear time-invariant systems is widely recognized as a measure of the dispersion of frequency content around resonance. Si…

math.DS2025

Reduced-Order Modeling of Bolt Loosening: Application to a Pair of Oscillators Under Transverse Shock Excitation

Qirui He, Rui Wang, Matthew J. Alexander +1

The safety and integrity of engineered structures are critically dependent on maintaining sufficient preload in their bolted joints. This preload can be dynamically lost due to sus…

math.DS2025

Structural System Identification via Validation and Adaptation

Cristian López, Keegan J. Moore

Estimating the governing equation parameter values is essential for integrating experimental data with scientific theory to understand, validate, and predict the dynamics of comple…

math.DS2024

Energy-based dual-phase dynamics identification of clearance nonlinearities

Cristian López, Keegan J. Moore

The energy-based dual-phase dynamics identification (EDDI) method is a new data-driven technique for the discovery of equations of motion (EOMs) of strongly nonlinear single-degree…

math.DS2024

A Data-Driven, Energy-based Approach for Identifying Equations of Motion in Vibrating Structures Directly from Measurements

Cristian López, Aryan Singh, Ángel Naranjo +1

Determining the underlying equations of motion and parameter values for vibrating structures is of great concern in science and engineering. This work introduces a new data-driven…