Dynamic Systems, Acoustics, and Vibrations
Dynamic Systems
We are analytically and numerically studying nonlinear effects in satellite attitude dynamics.
Our numerical work has involved the integration of the equations of motion for damped, nonautonomously perturbed single-body spacecraft. We are computing trajectories in phase space, Lyapunov exponents, fast Fourier transforms, stable and unstable manifolds, Poincare maps, bifurcation diagrams, and cell-maps for these systems.
Analytically, we are applying Melnikov’s method and perturbation methods such as averaging to these systems to obtain bounds on nonlinear behavior in the system's parameter space.
In addition, we are extending our analytical and numerical results to more complex spacecraft systems such as dual-spinners and spacecraft with continuous flexibilities.
Key Faculty:
Acoustics
More information about this research area will be available soon.
Vibrations
More information about this research area will be available soon.
Key Faculty:
Research Areas
- Advanced Materials and Devices
- Applied Mechanics and Biomechanics
- Brain Science and Neural Engineering
- Dynamic Systems, Acoustics, and Vibrations
- Emerging Manufacturing Processes for Materials, Tissues, and Devices
- Energy Infrastructure, Storage, and Devices
- Multiscale and Multiphysics Modeling, Computational Analysis
- Nanoscience, Bionanoscience, and Engineering
- Optoelectronics, Photonics, and Lasers
- Structural and Human Health Monitoring
