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math.OC2025
Adjoint Sensitivities for the Optimization of Nonlinear Structural Dynamics via Spectral Submanifolds
Matteo Pozzi, Jacopo Marconi, Shobhit Jain +2
This work presents an optimization framework for tailoring the nonlinear dynamic response of lightly damped mechanical systems using Spectral Submanifold (SSM) reduction. We derive…
math.OC2024
Active vibration control of nonlinear flexible structures via reduction on spectral submanifolds
Cong Shen, Mingwu Li
Large amplitude vibrations can cause hazards and failure to engineering structures. Active control has been an effective strategy to suppress vibrations, but it faces great challen…