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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…
math.DS2024
Weak-form modified sparse identification of nonlinear dynamics
Cristian López, Ángel Naranjo, Diego Salazar +1
Identifying nonlinear dynamics and characterizing noise from data is critical across science and engineering for understanding and modeling the behavior of the systems accurately.…