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SSM-VIB-CONTROL: Active vibration control of nonlinear flexible structures via reduction on spectral submanifolds

This repo provides the code implementation of the SSM-based control design framework proposed in [xx]. Examples reported in [xx] are also included in this repo.

Dependencies

This repo is based on SSMTool 2.3 DOI

Given SSMTool is continuously developed, we plan to merge our development into the main branch of SSMTool in future.

Getting Started

  • To get started, in Matlab run install.m
  • Go to examples/Vib_control folders and run demos.

Example list

  • Two oscillators: two coupled nonlinear oscillators
  • OsillatorChain: an oscillator chain with 10 coupled nonlinear oscillators
  • von Karman beam: a clamped-pinned von Karman beam
  • von Karman shell: a shallow shell with and without internal resonance
  • Aircraft wing: a NACA wing model with more than 130,000 DOFs
  • Pipe conveying fluid: a cantilever pipe conveying fluid

Reference

[1] Cong Shen, Mingwu Li. Active vibration control of nonlinear flexible structures via reduction on spectral submanifolds. Nonlinear Dynamics, in review.