Our research focuses on theoretical, computational, and experimental nonlinear dynamics and vibrations. The central themes are nonlinear modal analysis and experimental characterization of nonlinear normal modes; nonlinear reduced-order modeling and manifold-based reduction; nonlinear system and parameter identification; multivariate signal and time–frequency analysis; and damage diagnosis and prognosis in engineered and natural systems. Current work examines geometry-programmed internal resonance, nonlinear vibration absorption and energy transfer, vibration energy harvesting, and nonlinear mechanical metamaterials. These efforts combine analytical mechanics, nonlinear dynamical-systems theory, numerical continuation, data-driven modeling, and carefully designed experiments to identify mechanisms and physics, construct interpretable reduced-order models, and develop practical methods for prediction, control, and structural-health assessment.


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